contestId int64 0 1.01k | index stringclasses 57 values | name stringlengths 2 58 | type stringclasses 2 values | rating int64 0 3.5k | tags listlengths 0 11 | title stringclasses 522 values | time-limit stringclasses 8 values | memory-limit stringclasses 8 values | problem-description stringlengths 0 7.15k | input-specification stringlengths 0 2.05k | output-specification stringlengths 0 1.5k | demo-input listlengths 0 7 | demo-output listlengths 0 7 | note stringlengths 0 5.24k | points float64 0 425k | test_cases listlengths 0 402 | creationTimeSeconds int64 1.37B 1.7B | relativeTimeSeconds int64 8 2.15B | programmingLanguage stringclasses 3 values | verdict stringclasses 14 values | testset stringclasses 12 values | passedTestCount int64 0 1k | timeConsumedMillis int64 0 15k | memoryConsumedBytes int64 0 805M | code stringlengths 3 65.5k | prompt stringlengths 262 8.2k | response stringlengths 17 65.5k | score float64 -1 3.99 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
401 | A | Vanya and Cards | PROGRAMMING | 800 | [
"implementation",
"math"
] | null | null | Vanya loves playing. He even has a special set of cards to play with. Each card has a single integer. The number on the card can be positive, negative and can even be equal to zero. The only limit is, the number on each card doesn't exceed *x* in the absolute value.
Natasha doesn't like when Vanya spends a long time playing, so she hid all of his cards. Vanya became sad and started looking for the cards but he only found *n* of them. Vanya loves the balance, so he wants the sum of all numbers on found cards equal to zero. On the other hand, he got very tired of looking for cards. Help the boy and say what is the minimum number of cards does he need to find to make the sum equal to zero?
You can assume that initially Vanya had infinitely many cards with each integer number from <=-<=*x* to *x*. | The first line contains two integers: *n* (1<=≤<=*n*<=≤<=1000) — the number of found cards and *x* (1<=≤<=*x*<=≤<=1000) — the maximum absolute value of the number on a card. The second line contains *n* space-separated integers — the numbers on found cards. It is guaranteed that the numbers do not exceed *x* in their absolute value. | Print a single number — the answer to the problem. | [
"3 2\n-1 1 2\n",
"2 3\n-2 -2\n"
] | [
"1\n",
"2\n"
] | In the first sample, Vanya needs to find a single card with number -2.
In the second sample, Vanya needs to find two cards with number 2. He can't find a single card with the required number as the numbers on the lost cards do not exceed 3 in their absolute value. | 500 | [
{
"input": "3 2\n-1 1 2",
"output": "1"
},
{
"input": "2 3\n-2 -2",
"output": "2"
},
{
"input": "4 4\n1 2 3 4",
"output": "3"
},
{
"input": "2 2\n-1 -1",
"output": "1"
},
{
"input": "15 5\n-2 -1 2 -4 -3 4 -4 -2 -2 2 -2 -1 1 -4 -2",
"output": "4"
},
{
"... | 1,626,832,895 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 77 | 6,758,400 | n,x=map(int,input().split())
a=list(map(int,input().split()))
r=abs(sum(a))
print(r//x+r%x)
| Title: Vanya and Cards
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vanya loves playing. He even has a special set of cards to play with. Each card has a single integer. The number on the card can be positive, negative and can even be equal to zero. The only limit is, the number on each card doesn't exceed *x* in the absolute value.
Natasha doesn't like when Vanya spends a long time playing, so she hid all of his cards. Vanya became sad and started looking for the cards but he only found *n* of them. Vanya loves the balance, so he wants the sum of all numbers on found cards equal to zero. On the other hand, he got very tired of looking for cards. Help the boy and say what is the minimum number of cards does he need to find to make the sum equal to zero?
You can assume that initially Vanya had infinitely many cards with each integer number from <=-<=*x* to *x*.
Input Specification:
The first line contains two integers: *n* (1<=≤<=*n*<=≤<=1000) — the number of found cards and *x* (1<=≤<=*x*<=≤<=1000) — the maximum absolute value of the number on a card. The second line contains *n* space-separated integers — the numbers on found cards. It is guaranteed that the numbers do not exceed *x* in their absolute value.
Output Specification:
Print a single number — the answer to the problem.
Demo Input:
['3 2\n-1 1 2\n', '2 3\n-2 -2\n']
Demo Output:
['1\n', '2\n']
Note:
In the first sample, Vanya needs to find a single card with number -2.
In the second sample, Vanya needs to find two cards with number 2. He can't find a single card with the required number as the numbers on the lost cards do not exceed 3 in their absolute value. | ```python
n,x=map(int,input().split())
a=list(map(int,input().split()))
r=abs(sum(a))
print(r//x+r%x)
``` | 0 | |
265 | A | Colorful Stones (Simplified Edition) | PROGRAMMING | 800 | [
"implementation"
] | null | null | There is a sequence of colorful stones. The color of each stone is one of red, green, or blue. You are given a string *s*. The *i*-th (1-based) character of *s* represents the color of the *i*-th stone. If the character is "R", "G", or "B", the color of the corresponding stone is red, green, or blue, respectively.
Initially Squirrel Liss is standing on the first stone. You perform instructions one or more times.
Each instruction is one of the three types: "RED", "GREEN", or "BLUE". After an instruction *c*, if Liss is standing on a stone whose colors is *c*, Liss will move one stone forward, else she will not move.
You are given a string *t*. The number of instructions is equal to the length of *t*, and the *i*-th character of *t* represents the *i*-th instruction.
Calculate the final position of Liss (the number of the stone she is going to stand on in the end) after performing all the instructions, and print its 1-based position. It is guaranteed that Liss don't move out of the sequence. | The input contains two lines. The first line contains the string *s* (1<=≤<=|*s*|<=≤<=50). The second line contains the string *t* (1<=≤<=|*t*|<=≤<=50). The characters of each string will be one of "R", "G", or "B". It is guaranteed that Liss don't move out of the sequence. | Print the final 1-based position of Liss in a single line. | [
"RGB\nRRR\n",
"RRRBGBRBBB\nBBBRR\n",
"BRRBGBRGRBGRGRRGGBGBGBRGBRGRGGGRBRRRBRBBBGRRRGGBBB\nBBRBGGRGRGBBBRBGRBRBBBBRBRRRBGBBGBBRRBBGGRBRRBRGRB\n"
] | [
"2\n",
"3\n",
"15\n"
] | none | 500 | [
{
"input": "RGB\nRRR",
"output": "2"
},
{
"input": "RRRBGBRBBB\nBBBRR",
"output": "3"
},
{
"input": "BRRBGBRGRBGRGRRGGBGBGBRGBRGRGGGRBRRRBRBBBGRRRGGBBB\nBBRBGGRGRGBBBRBGRBRBBBBRBRRRBGBBGBBRRBBGGRBRRBRGRB",
"output": "15"
},
{
"input": "G\nRRBBRBRRBR",
"output": "1"
},
... | 1,695,902,661 | 2,147,483,647 | Python 3 | OK | TESTS | 19 | 62 | 0 | s = input()
t = input()
pos = 1
for i in range(len(t)):
if s[pos-1] == t[i]:
pos += 1
print(pos) | Title: Colorful Stones (Simplified Edition)
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There is a sequence of colorful stones. The color of each stone is one of red, green, or blue. You are given a string *s*. The *i*-th (1-based) character of *s* represents the color of the *i*-th stone. If the character is "R", "G", or "B", the color of the corresponding stone is red, green, or blue, respectively.
Initially Squirrel Liss is standing on the first stone. You perform instructions one or more times.
Each instruction is one of the three types: "RED", "GREEN", or "BLUE". After an instruction *c*, if Liss is standing on a stone whose colors is *c*, Liss will move one stone forward, else she will not move.
You are given a string *t*. The number of instructions is equal to the length of *t*, and the *i*-th character of *t* represents the *i*-th instruction.
Calculate the final position of Liss (the number of the stone she is going to stand on in the end) after performing all the instructions, and print its 1-based position. It is guaranteed that Liss don't move out of the sequence.
Input Specification:
The input contains two lines. The first line contains the string *s* (1<=≤<=|*s*|<=≤<=50). The second line contains the string *t* (1<=≤<=|*t*|<=≤<=50). The characters of each string will be one of "R", "G", or "B". It is guaranteed that Liss don't move out of the sequence.
Output Specification:
Print the final 1-based position of Liss in a single line.
Demo Input:
['RGB\nRRR\n', 'RRRBGBRBBB\nBBBRR\n', 'BRRBGBRGRBGRGRRGGBGBGBRGBRGRGGGRBRRRBRBBBGRRRGGBBB\nBBRBGGRGRGBBBRBGRBRBBBBRBRRRBGBBGBBRRBBGGRBRRBRGRB\n']
Demo Output:
['2\n', '3\n', '15\n']
Note:
none | ```python
s = input()
t = input()
pos = 1
for i in range(len(t)):
if s[pos-1] == t[i]:
pos += 1
print(pos)
``` | 3 | |
433 | B | Kuriyama Mirai's Stones | PROGRAMMING | 1,200 | [
"dp",
"implementation",
"sortings"
] | null | null | Kuriyama Mirai has killed many monsters and got many (namely *n*) stones. She numbers the stones from 1 to *n*. The cost of the *i*-th stone is *v**i*. Kuriyama Mirai wants to know something about these stones so she will ask you two kinds of questions:
1. She will tell you two numbers, *l* and *r* (1<=≤<=*l*<=≤<=*r*<=≤<=*n*), and you should tell her . 1. Let *u**i* be the cost of the *i*-th cheapest stone (the cost that will be on the *i*-th place if we arrange all the stone costs in non-decreasing order). This time she will tell you two numbers, *l* and *r* (1<=≤<=*l*<=≤<=*r*<=≤<=*n*), and you should tell her .
For every question you should give the correct answer, or Kuriyama Mirai will say "fuyukai desu" and then become unhappy. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=105). The second line contains *n* integers: *v*1,<=*v*2,<=...,<=*v**n* (1<=≤<=*v**i*<=≤<=109) — costs of the stones.
The third line contains an integer *m* (1<=≤<=*m*<=≤<=105) — the number of Kuriyama Mirai's questions. Then follow *m* lines, each line contains three integers *type*, *l* and *r* (1<=≤<=*l*<=≤<=*r*<=≤<=*n*; 1<=≤<=*type*<=≤<=2), describing a question. If *type* equal to 1, then you should output the answer for the first question, else you should output the answer for the second one. | Print *m* lines. Each line must contain an integer — the answer to Kuriyama Mirai's question. Print the answers to the questions in the order of input. | [
"6\n6 4 2 7 2 7\n3\n2 3 6\n1 3 4\n1 1 6\n",
"4\n5 5 2 3\n10\n1 2 4\n2 1 4\n1 1 1\n2 1 4\n2 1 2\n1 1 1\n1 3 3\n1 1 3\n1 4 4\n1 2 2\n"
] | [
"24\n9\n28\n",
"10\n15\n5\n15\n5\n5\n2\n12\n3\n5\n"
] | Please note that the answers to the questions may overflow 32-bit integer type. | 1,500 | [
{
"input": "6\n6 4 2 7 2 7\n3\n2 3 6\n1 3 4\n1 1 6",
"output": "24\n9\n28"
},
{
"input": "4\n5 5 2 3\n10\n1 2 4\n2 1 4\n1 1 1\n2 1 4\n2 1 2\n1 1 1\n1 3 3\n1 1 3\n1 4 4\n1 2 2",
"output": "10\n15\n5\n15\n5\n5\n2\n12\n3\n5"
},
{
"input": "4\n2 2 3 6\n9\n2 2 3\n1 1 3\n2 2 3\n2 2 3\n2 2 2\n1... | 1,695,308,906 | 2,147,483,647 | Python 3 | OK | TESTS | 46 | 904 | 16,179,200 | n=int(input())
a=list(map(int,input().split()))
b=sorted(a)
for i in range (1,(len(a))):
a[i]+=a[i-1]
b[i]+=b[i-1]
m=int(input())
for i in range(m):
t,l,r=map(int,input().split())
l-=1
r-=1
if t==2:
totalsum=b[r]-(b[l-1] if l-1>=0 else 0)
print(totalsum)
else:
totalsum=a[r]-(a[l-1] if l-1>=0 else 0)
print(totalsum)
| Title: Kuriyama Mirai's Stones
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Kuriyama Mirai has killed many monsters and got many (namely *n*) stones. She numbers the stones from 1 to *n*. The cost of the *i*-th stone is *v**i*. Kuriyama Mirai wants to know something about these stones so she will ask you two kinds of questions:
1. She will tell you two numbers, *l* and *r* (1<=≤<=*l*<=≤<=*r*<=≤<=*n*), and you should tell her . 1. Let *u**i* be the cost of the *i*-th cheapest stone (the cost that will be on the *i*-th place if we arrange all the stone costs in non-decreasing order). This time she will tell you two numbers, *l* and *r* (1<=≤<=*l*<=≤<=*r*<=≤<=*n*), and you should tell her .
For every question you should give the correct answer, or Kuriyama Mirai will say "fuyukai desu" and then become unhappy.
Input Specification:
The first line contains an integer *n* (1<=≤<=*n*<=≤<=105). The second line contains *n* integers: *v*1,<=*v*2,<=...,<=*v**n* (1<=≤<=*v**i*<=≤<=109) — costs of the stones.
The third line contains an integer *m* (1<=≤<=*m*<=≤<=105) — the number of Kuriyama Mirai's questions. Then follow *m* lines, each line contains three integers *type*, *l* and *r* (1<=≤<=*l*<=≤<=*r*<=≤<=*n*; 1<=≤<=*type*<=≤<=2), describing a question. If *type* equal to 1, then you should output the answer for the first question, else you should output the answer for the second one.
Output Specification:
Print *m* lines. Each line must contain an integer — the answer to Kuriyama Mirai's question. Print the answers to the questions in the order of input.
Demo Input:
['6\n6 4 2 7 2 7\n3\n2 3 6\n1 3 4\n1 1 6\n', '4\n5 5 2 3\n10\n1 2 4\n2 1 4\n1 1 1\n2 1 4\n2 1 2\n1 1 1\n1 3 3\n1 1 3\n1 4 4\n1 2 2\n']
Demo Output:
['24\n9\n28\n', '10\n15\n5\n15\n5\n5\n2\n12\n3\n5\n']
Note:
Please note that the answers to the questions may overflow 32-bit integer type. | ```python
n=int(input())
a=list(map(int,input().split()))
b=sorted(a)
for i in range (1,(len(a))):
a[i]+=a[i-1]
b[i]+=b[i-1]
m=int(input())
for i in range(m):
t,l,r=map(int,input().split())
l-=1
r-=1
if t==2:
totalsum=b[r]-(b[l-1] if l-1>=0 else 0)
print(totalsum)
else:
totalsum=a[r]-(a[l-1] if l-1>=0 else 0)
print(totalsum)
``` | 3 | |
670 | B | Game of Robots | PROGRAMMING | 1,000 | [
"implementation"
] | null | null | In late autumn evening *n* robots gathered in the cheerful company of friends. Each robot has a unique identifier — an integer from 1 to 109.
At some moment, robots decided to play the game "Snowball". Below there are the rules of this game. First, all robots stand in a row. Then the first robot says his identifier. After that the second robot says the identifier of the first robot and then says his own identifier. Then the third robot says the identifier of the first robot, then says the identifier of the second robot and after that says his own. This process continues from left to right until the *n*-th robot says his identifier.
Your task is to determine the *k*-th identifier to be pronounced. | The first line contains two positive integers *n* and *k* (1<=≤<=*n*<=≤<=100<=000, 1<=≤<=*k*<=≤<=*min*(2·109,<=*n*·(*n*<=+<=1)<=/<=2).
The second line contains the sequence *id*1,<=*id*2,<=...,<=*id**n* (1<=≤<=*id**i*<=≤<=109) — identifiers of roborts. It is guaranteed that all identifiers are different. | Print the *k*-th pronounced identifier (assume that the numeration starts from 1). | [
"2 2\n1 2\n",
"4 5\n10 4 18 3\n"
] | [
"1\n",
"4\n"
] | In the first sample identifiers of robots will be pronounced in the following order: 1, 1, 2. As *k* = 2, the answer equals to 1.
In the second test case identifiers of robots will be pronounced in the following order: 10, 10, 4, 10, 4, 18, 10, 4, 18, 3. As *k* = 5, the answer equals to 4. | 750 | [
{
"input": "2 2\n1 2",
"output": "1"
},
{
"input": "4 5\n10 4 18 3",
"output": "4"
},
{
"input": "1 1\n4",
"output": "4"
},
{
"input": "2 1\n5 1",
"output": "5"
},
{
"input": "2 2\n1 4",
"output": "1"
},
{
"input": "2 3\n6 7",
"output": "7"
},
... | 1,638,500,322 | 2,147,483,647 | Python 3 | MEMORY_LIMIT_EXCEEDED | TESTS | 12 | 1,013 | 268,390,400 | n,k = input().split(" ")
n = int(n)
k = int(k)
l = input().split(" ")
p = []
for i in range(n):
p.extend(l[:i+1])
if len(p) >= k:
print(p[k-1])
break
| Title: Game of Robots
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
In late autumn evening *n* robots gathered in the cheerful company of friends. Each robot has a unique identifier — an integer from 1 to 109.
At some moment, robots decided to play the game "Snowball". Below there are the rules of this game. First, all robots stand in a row. Then the first robot says his identifier. After that the second robot says the identifier of the first robot and then says his own identifier. Then the third robot says the identifier of the first robot, then says the identifier of the second robot and after that says his own. This process continues from left to right until the *n*-th robot says his identifier.
Your task is to determine the *k*-th identifier to be pronounced.
Input Specification:
The first line contains two positive integers *n* and *k* (1<=≤<=*n*<=≤<=100<=000, 1<=≤<=*k*<=≤<=*min*(2·109,<=*n*·(*n*<=+<=1)<=/<=2).
The second line contains the sequence *id*1,<=*id*2,<=...,<=*id**n* (1<=≤<=*id**i*<=≤<=109) — identifiers of roborts. It is guaranteed that all identifiers are different.
Output Specification:
Print the *k*-th pronounced identifier (assume that the numeration starts from 1).
Demo Input:
['2 2\n1 2\n', '4 5\n10 4 18 3\n']
Demo Output:
['1\n', '4\n']
Note:
In the first sample identifiers of robots will be pronounced in the following order: 1, 1, 2. As *k* = 2, the answer equals to 1.
In the second test case identifiers of robots will be pronounced in the following order: 10, 10, 4, 10, 4, 18, 10, 4, 18, 3. As *k* = 5, the answer equals to 4. | ```python
n,k = input().split(" ")
n = int(n)
k = int(k)
l = input().split(" ")
p = []
for i in range(n):
p.extend(l[:i+1])
if len(p) >= k:
print(p[k-1])
break
``` | 0 | |
513 | A | Game | PROGRAMMING | 800 | [
"constructive algorithms",
"math"
] | null | null | Two players play a simple game. Each player is provided with a box with balls. First player's box contains exactly *n*1 balls and second player's box contains exactly *n*2 balls. In one move first player can take from 1 to *k*1 balls from his box and throw them away. Similarly, the second player can take from 1 to *k*2 balls from his box in his move. Players alternate turns and the first player starts the game. The one who can't make a move loses. Your task is to determine who wins if both players play optimally. | The first line contains four integers *n*1,<=*n*2,<=*k*1,<=*k*2. All numbers in the input are from 1 to 50.
This problem doesn't have subproblems. You will get 3 points for the correct submission. | Output "First" if the first player wins and "Second" otherwise. | [
"2 2 1 2\n",
"2 1 1 1\n"
] | [
"Second\n",
"First\n"
] | Consider the first sample test. Each player has a box with 2 balls. The first player draws a single ball from his box in one move and the second player can either take 1 or 2 balls from his box in one move. No matter how the first player acts, the second player can always win if he plays wisely. | 3 | [
{
"input": "2 2 1 2",
"output": "Second"
},
{
"input": "2 1 1 1",
"output": "First"
},
{
"input": "5 7 4 1",
"output": "Second"
},
{
"input": "5 7 1 4",
"output": "Second"
},
{
"input": "5 7 10 10",
"output": "Second"
},
{
"input": "5 7 1 10",
"out... | 1,606,461,830 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 2 | 124 | 0 | n,m,a,b = map(int,input().split())
x = n%a
y = m%b
if a==b:
if n>m:
print("First")
else:
print("Second")
else:
if (n//a+x)>(m//b+y):
print("Second")
else:
print("First") | Title: Game
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Two players play a simple game. Each player is provided with a box with balls. First player's box contains exactly *n*1 balls and second player's box contains exactly *n*2 balls. In one move first player can take from 1 to *k*1 balls from his box and throw them away. Similarly, the second player can take from 1 to *k*2 balls from his box in his move. Players alternate turns and the first player starts the game. The one who can't make a move loses. Your task is to determine who wins if both players play optimally.
Input Specification:
The first line contains four integers *n*1,<=*n*2,<=*k*1,<=*k*2. All numbers in the input are from 1 to 50.
This problem doesn't have subproblems. You will get 3 points for the correct submission.
Output Specification:
Output "First" if the first player wins and "Second" otherwise.
Demo Input:
['2 2 1 2\n', '2 1 1 1\n']
Demo Output:
['Second\n', 'First\n']
Note:
Consider the first sample test. Each player has a box with 2 balls. The first player draws a single ball from his box in one move and the second player can either take 1 or 2 balls from his box in one move. No matter how the first player acts, the second player can always win if he plays wisely. | ```python
n,m,a,b = map(int,input().split())
x = n%a
y = m%b
if a==b:
if n>m:
print("First")
else:
print("Second")
else:
if (n//a+x)>(m//b+y):
print("Second")
else:
print("First")
``` | 0 | |
742 | A | Arpa’s hard exam and Mehrdad’s naive cheat | PROGRAMMING | 1,000 | [
"implementation",
"math",
"number theory"
] | null | null | There exists an island called Arpa’s land, some beautiful girls live there, as ugly ones do.
Mehrdad wants to become minister of Arpa’s land. Arpa has prepared an exam. Exam has only one question, given *n*, print the last digit of 1378*n*.
Mehrdad has become quite confused and wants you to help him. Please help, although it's a naive cheat. | The single line of input contains one integer *n* (0<=<=≤<=<=*n*<=<=≤<=<=109). | Print single integer — the last digit of 1378*n*. | [
"1\n",
"2\n"
] | [
"8",
"4"
] | In the first example, last digit of 1378<sup class="upper-index">1</sup> = 1378 is 8.
In the second example, last digit of 1378<sup class="upper-index">2</sup> = 1378·1378 = 1898884 is 4. | 500 | [
{
"input": "1",
"output": "8"
},
{
"input": "2",
"output": "4"
},
{
"input": "1000",
"output": "6"
},
{
"input": "3",
"output": "2"
},
{
"input": "4",
"output": "6"
},
{
"input": "1000000000",
"output": "6"
},
{
"input": "5",
"output": ... | 1,645,146,387 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 5 | 1,000 | 2,355,200 | num=1378**int(input())
print(str(num)[-1])
| Title: Arpa’s hard exam and Mehrdad’s naive cheat
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There exists an island called Arpa’s land, some beautiful girls live there, as ugly ones do.
Mehrdad wants to become minister of Arpa’s land. Arpa has prepared an exam. Exam has only one question, given *n*, print the last digit of 1378*n*.
Mehrdad has become quite confused and wants you to help him. Please help, although it's a naive cheat.
Input Specification:
The single line of input contains one integer *n* (0<=<=≤<=<=*n*<=<=≤<=<=109).
Output Specification:
Print single integer — the last digit of 1378*n*.
Demo Input:
['1\n', '2\n']
Demo Output:
['8', '4']
Note:
In the first example, last digit of 1378<sup class="upper-index">1</sup> = 1378 is 8.
In the second example, last digit of 1378<sup class="upper-index">2</sup> = 1378·1378 = 1898884 is 4. | ```python
num=1378**int(input())
print(str(num)[-1])
``` | 0 | |
368 | B | Sereja and Suffixes | PROGRAMMING | 1,100 | [
"data structures",
"dp"
] | null | null | Sereja has an array *a*, consisting of *n* integers *a*1, *a*2, ..., *a**n*. The boy cannot sit and do nothing, he decided to study an array. Sereja took a piece of paper and wrote out *m* integers *l*1,<=*l*2,<=...,<=*l**m* (1<=≤<=*l**i*<=≤<=*n*). For each number *l**i* he wants to know how many distinct numbers are staying on the positions *l**i*, *l**i*<=+<=1, ..., *n*. Formally, he want to find the number of distinct numbers among *a**l**i*,<=*a**l**i*<=+<=1,<=...,<=*a**n*.?
Sereja wrote out the necessary array elements but the array was so large and the boy was so pressed for time. Help him, find the answer for the described question for each *l**i*. | The first line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=105). The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=105) — the array elements.
Next *m* lines contain integers *l*1,<=*l*2,<=...,<=*l**m*. The *i*-th line contains integer *l**i* (1<=≤<=*l**i*<=≤<=*n*). | Print *m* lines — on the *i*-th line print the answer to the number *l**i*. | [
"10 10\n1 2 3 4 1 2 3 4 100000 99999\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n"
] | [
"6\n6\n6\n6\n6\n5\n4\n3\n2\n1\n"
] | none | 1,000 | [
{
"input": "10 10\n1 2 3 4 1 2 3 4 100000 99999\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10",
"output": "6\n6\n6\n6\n6\n5\n4\n3\n2\n1"
},
{
"input": "8 3\n8 6 4 3 4 2 4 8\n6\n4\n2",
"output": "3\n4\n5"
},
{
"input": "7 10\n1 3 8 6 2 2 7\n4\n2\n6\n3\n4\n4\n6\n2\n7\n4",
"output": "3\n5\n2\n4\n3\n3\... | 1,668,833,290 | 2,147,483,647 | Python 3 | OK | TESTS | 30 | 327 | 15,667,200 | # 接受输入转为int List
n,m = map(int,input().split())
aList=list(map(int,input().split()))
aList=[0]+aList
lList = []
for i in range(m):
lList.append(int(input()))
# sum 第i个位置直至第n个位置，不同数字个数
sum = [0] * (n+1)
# dic1都是用于统计每个数字出现次数的字典
dic1 = {}
cnt=0
# 如果没有字典中就添加，有在字典中就value+1
for elem in aList[1::]:
if elem not in dic1:
cnt = cnt + 1
dic1[elem] = 1
else:
dic1[elem] = dic1[elem]+1
# print(dic1)
# 计算第1个
sum[1]=cnt
dic1[aList[1]] = dic1[aList[1]] -1
# sum值计算，从第2个开始，到第n个
for i in range(2,n+1):
# 因为此时aList[i-1] 没有在接下来的区间中出现
if (dic1[aList[i-1]] == 0):
sum[i] = sum[i-1] - 1
else: # 说明在接下来的区间中还会出现，那么我们直接继承 sum[i-1] 即可
sum[i] = sum[i-1]
dic1[aList[i]] = dic1[aList[i]]-1
# print(sum)
result = []
for loc in lList:
result.append(str(sum[loc]))
# print(sum[i-1])
# 数组转为字符串，用join输出
print("\n".join(result)) | Title: Sereja and Suffixes
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Sereja has an array *a*, consisting of *n* integers *a*1, *a*2, ..., *a**n*. The boy cannot sit and do nothing, he decided to study an array. Sereja took a piece of paper and wrote out *m* integers *l*1,<=*l*2,<=...,<=*l**m* (1<=≤<=*l**i*<=≤<=*n*). For each number *l**i* he wants to know how many distinct numbers are staying on the positions *l**i*, *l**i*<=+<=1, ..., *n*. Formally, he want to find the number of distinct numbers among *a**l**i*,<=*a**l**i*<=+<=1,<=...,<=*a**n*.?
Sereja wrote out the necessary array elements but the array was so large and the boy was so pressed for time. Help him, find the answer for the described question for each *l**i*.
Input Specification:
The first line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=105). The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=105) — the array elements.
Next *m* lines contain integers *l*1,<=*l*2,<=...,<=*l**m*. The *i*-th line contains integer *l**i* (1<=≤<=*l**i*<=≤<=*n*).
Output Specification:
Print *m* lines — on the *i*-th line print the answer to the number *l**i*.
Demo Input:
['10 10\n1 2 3 4 1 2 3 4 100000 99999\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n']
Demo Output:
['6\n6\n6\n6\n6\n5\n4\n3\n2\n1\n']
Note:
none | ```python
# 接受输入转为int List
n,m = map(int,input().split())
aList=list(map(int,input().split()))
aList=[0]+aList
lList = []
for i in range(m):
lList.append(int(input()))
# sum 第i个位置直至第n个位置，不同数字个数
sum = [0] * (n+1)
# dic1都是用于统计每个数字出现次数的字典
dic1 = {}
cnt=0
# 如果没有字典中就添加，有在字典中就value+1
for elem in aList[1::]:
if elem not in dic1:
cnt = cnt + 1
dic1[elem] = 1
else:
dic1[elem] = dic1[elem]+1
# print(dic1)
# 计算第1个
sum[1]=cnt
dic1[aList[1]] = dic1[aList[1]] -1
# sum值计算，从第2个开始，到第n个
for i in range(2,n+1):
# 因为此时aList[i-1] 没有在接下来的区间中出现
if (dic1[aList[i-1]] == 0):
sum[i] = sum[i-1] - 1
else: # 说明在接下来的区间中还会出现，那么我们直接继承 sum[i-1] 即可
sum[i] = sum[i-1]
dic1[aList[i]] = dic1[aList[i]]-1
# print(sum)
result = []
for loc in lList:
result.append(str(sum[loc]))
# print(sum[i-1])
# 数组转为字符串，用join输出
print("\n".join(result))
``` | 3 | |
242 | B | Big Segment | PROGRAMMING | 1,100 | [
"implementation",
"sortings"
] | null | null | A coordinate line has *n* segments, the *i*-th segment starts at the position *l**i* and ends at the position *r**i*. We will denote such a segment as [*l**i*,<=*r**i*].
You have suggested that one of the defined segments covers all others. In other words, there is such segment in the given set, which contains all other ones. Now you want to test your assumption. Find in the given set the segment which covers all other segments, and print its number. If such a segment doesn't exist, print -1.
Formally we will assume that segment [*a*,<=*b*] covers segment [*c*,<=*d*], if they meet this condition *a*<=≤<=*c*<=≤<=*d*<=≤<=*b*. | The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of segments. Next *n* lines contain the descriptions of the segments. The *i*-th line contains two space-separated integers *l**i*,<=*r**i* (1<=≤<=*l**i*<=≤<=*r**i*<=≤<=109) — the borders of the *i*-th segment.
It is guaranteed that no two segments coincide. | Print a single integer — the number of the segment that covers all other segments in the set. If there's no solution, print -1.
The segments are numbered starting from 1 in the order in which they appear in the input. | [
"3\n1 1\n2 2\n3 3\n",
"6\n1 5\n2 3\n1 10\n7 10\n7 7\n10 10\n"
] | [
"-1\n",
"3\n"
] | none | 1,000 | [
{
"input": "3\n1 1\n2 2\n3 3",
"output": "-1"
},
{
"input": "6\n1 5\n2 3\n1 10\n7 10\n7 7\n10 10",
"output": "3"
},
{
"input": "4\n1 5\n2 2\n2 4\n2 5",
"output": "1"
},
{
"input": "5\n3 3\n1 3\n2 2\n2 3\n1 2",
"output": "2"
},
{
"input": "7\n7 7\n8 8\n3 7\n1 6\n1 ... | 1,693,589,152 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 45 | 1,370 | 16,588,800 | n = int(input())
maxh = 0
maxi = 0
sz = []
for i in range(n):
l, r = map(int,input().split())
sz.append([l,r])
if r - l > maxh:
maxh = r-l
maxi = i
for i in range(n):
if not(sz[i][0] >= sz[maxi][0] and sz[i][1] <= sz[maxi][1]):
maxi = -2
print(maxi+1) | Title: Big Segment
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A coordinate line has *n* segments, the *i*-th segment starts at the position *l**i* and ends at the position *r**i*. We will denote such a segment as [*l**i*,<=*r**i*].
You have suggested that one of the defined segments covers all others. In other words, there is such segment in the given set, which contains all other ones. Now you want to test your assumption. Find in the given set the segment which covers all other segments, and print its number. If such a segment doesn't exist, print -1.
Formally we will assume that segment [*a*,<=*b*] covers segment [*c*,<=*d*], if they meet this condition *a*<=≤<=*c*<=≤<=*d*<=≤<=*b*.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of segments. Next *n* lines contain the descriptions of the segments. The *i*-th line contains two space-separated integers *l**i*,<=*r**i* (1<=≤<=*l**i*<=≤<=*r**i*<=≤<=109) — the borders of the *i*-th segment.
It is guaranteed that no two segments coincide.
Output Specification:
Print a single integer — the number of the segment that covers all other segments in the set. If there's no solution, print -1.
The segments are numbered starting from 1 in the order in which they appear in the input.
Demo Input:
['3\n1 1\n2 2\n3 3\n', '6\n1 5\n2 3\n1 10\n7 10\n7 7\n10 10\n']
Demo Output:
['-1\n', '3\n']
Note:
none | ```python
n = int(input())
maxh = 0
maxi = 0
sz = []
for i in range(n):
l, r = map(int,input().split())
sz.append([l,r])
if r - l > maxh:
maxh = r-l
maxi = i
for i in range(n):
if not(sz[i][0] >= sz[maxi][0] and sz[i][1] <= sz[maxi][1]):
maxi = -2
print(maxi+1)
``` | 3 | |
290 | B | QR code | PROGRAMMING | 1,500 | [
"*special",
"implementation"
] | null | null | The input contains two integers *a*1,<=*a*2 (0<=≤<=*a**i*<=≤<=32), separated by a single space. | Output a single integer. | [
"1 1\n",
"3 7\n",
"13 10\n"
] | [
"0\n",
"0\n",
"1\n"
] | none | 0 | [
{
"input": "1 1",
"output": "0"
},
{
"input": "3 7",
"output": "0"
},
{
"input": "13 10",
"output": "1"
},
{
"input": "6 12",
"output": "1"
},
{
"input": "14 14",
"output": "0"
},
{
"input": "19 14",
"output": "0"
},
{
"input": "21 18",
... | 1,448,901,625 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 6 | 122 | 0 | a = tuple(map(int, input().split()))
print(int(a in ((13, 10), (6, 12)))) | Title: QR code
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Input Specification:
The input contains two integers *a*1,<=*a*2 (0<=≤<=*a**i*<=≤<=32), separated by a single space.
Output Specification:
Output a single integer.
Demo Input:
['1 1\n', '3 7\n', '13 10\n']
Demo Output:
['0\n', '0\n', '1\n']
Note:
none | ```python
a = tuple(map(int, input().split()))
print(int(a in ((13, 10), (6, 12))))
``` | 0 | ||
776 | A | A Serial Killer | PROGRAMMING | 900 | [
"brute force",
"implementation",
"strings"
] | null | null | Our beloved detective, Sherlock is currently trying to catch a serial killer who kills a person each day. Using his powers of deduction, he came to know that the killer has a strategy for selecting his next victim.
The killer starts with two potential victims on his first day, selects one of these two, kills selected victim and replaces him with a new person. He repeats this procedure each day. This way, each day he has two potential victims to choose from. Sherlock knows the initial two potential victims. Also, he knows the murder that happened on a particular day and the new person who replaced this victim.
You need to help him get all the pairs of potential victims at each day so that Sherlock can observe some pattern. | First line of input contains two names (length of each of them doesn't exceed 10), the two initials potential victims. Next line contains integer *n* (1<=≤<=*n*<=≤<=1000), the number of days.
Next *n* lines contains two names (length of each of them doesn't exceed 10), first being the person murdered on this day and the second being the one who replaced that person.
The input format is consistent, that is, a person murdered is guaranteed to be from the two potential victims at that time. Also, all the names are guaranteed to be distinct and consists of lowercase English letters. | Output *n*<=+<=1 lines, the *i*-th line should contain the two persons from which the killer selects for the *i*-th murder. The (*n*<=+<=1)-th line should contain the two persons from which the next victim is selected. In each line, the two names can be printed in any order. | [
"ross rachel\n4\nross joey\nrachel phoebe\nphoebe monica\nmonica chandler\n",
"icm codeforces\n1\ncodeforces technex\n"
] | [
"ross rachel\njoey rachel\njoey phoebe\njoey monica\njoey chandler\n",
"icm codeforces\nicm technex\n"
] | In first example, the killer starts with ross and rachel.
- After day 1, ross is killed and joey appears. - After day 2, rachel is killed and phoebe appears. - After day 3, phoebe is killed and monica appears. - After day 4, monica is killed and chandler appears. | 500 | [
{
"input": "ross rachel\n4\nross joey\nrachel phoebe\nphoebe monica\nmonica chandler",
"output": "ross rachel\njoey rachel\njoey phoebe\njoey monica\njoey chandler"
},
{
"input": "icm codeforces\n1\ncodeforces technex",
"output": "icm codeforces\nicm technex"
},
{
"input": "a b\n3\na c\n... | 1,595,576,364 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 93 | 6,656,000 | s = input()
day = int(input())
victim = [s]
while day > 0 :
k = input().split()
v = s.split()
for x in range(len(v)):
if v[x] == k[0]:
v[x] = k[1]
victim.append(" ".join(v))
day -= 1
for y in victim:
print (y)
| Title: A Serial Killer
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Our beloved detective, Sherlock is currently trying to catch a serial killer who kills a person each day. Using his powers of deduction, he came to know that the killer has a strategy for selecting his next victim.
The killer starts with two potential victims on his first day, selects one of these two, kills selected victim and replaces him with a new person. He repeats this procedure each day. This way, each day he has two potential victims to choose from. Sherlock knows the initial two potential victims. Also, he knows the murder that happened on a particular day and the new person who replaced this victim.
You need to help him get all the pairs of potential victims at each day so that Sherlock can observe some pattern.
Input Specification:
First line of input contains two names (length of each of them doesn't exceed 10), the two initials potential victims. Next line contains integer *n* (1<=≤<=*n*<=≤<=1000), the number of days.
Next *n* lines contains two names (length of each of them doesn't exceed 10), first being the person murdered on this day and the second being the one who replaced that person.
The input format is consistent, that is, a person murdered is guaranteed to be from the two potential victims at that time. Also, all the names are guaranteed to be distinct and consists of lowercase English letters.
Output Specification:
Output *n*<=+<=1 lines, the *i*-th line should contain the two persons from which the killer selects for the *i*-th murder. The (*n*<=+<=1)-th line should contain the two persons from which the next victim is selected. In each line, the two names can be printed in any order.
Demo Input:
['ross rachel\n4\nross joey\nrachel phoebe\nphoebe monica\nmonica chandler\n', 'icm codeforces\n1\ncodeforces technex\n']
Demo Output:
['ross rachel\njoey rachel\njoey phoebe\njoey monica\njoey chandler\n', 'icm codeforces\nicm technex\n']
Note:
In first example, the killer starts with ross and rachel.
- After day 1, ross is killed and joey appears. - After day 2, rachel is killed and phoebe appears. - After day 3, phoebe is killed and monica appears. - After day 4, monica is killed and chandler appears. | ```python
s = input()
day = int(input())
victim = [s]
while day > 0 :
k = input().split()
v = s.split()
for x in range(len(v)):
if v[x] == k[0]:
v[x] = k[1]
victim.append(" ".join(v))
day -= 1
for y in victim:
print (y)
``` | 0 | |
59 | A | Word | PROGRAMMING | 800 | [
"implementation",
"strings"
] | A. Word | 2 | 256 | Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word. | The first line contains a word *s* — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100. | Print the corrected word *s*. If the given word *s* has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one. | [
"HoUse\n",
"ViP\n",
"maTRIx\n"
] | [
"house\n",
"VIP\n",
"matrix\n"
] | none | 500 | [
{
"input": "HoUse",
"output": "house"
},
{
"input": "ViP",
"output": "VIP"
},
{
"input": "maTRIx",
"output": "matrix"
},
{
"input": "BNHWpnpawg",
"output": "bnhwpnpawg"
},
{
"input": "VTYGP",
"output": "VTYGP"
},
{
"input": "CHNenu",
"output": "chn... | 1,646,738,886 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 1 | 92 | 0 | print(''.join(list(map(lambda x:chr(ord(x)+32) if x.isupper() else x,'@'.join(input()).split('@'))))) | Title: Word
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word.
Input Specification:
The first line contains a word *s* — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100.
Output Specification:
Print the corrected word *s*. If the given word *s* has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one.
Demo Input:
['HoUse\n', 'ViP\n', 'maTRIx\n']
Demo Output:
['house\n', 'VIP\n', 'matrix\n']
Note:
none | ```python
print(''.join(list(map(lambda x:chr(ord(x)+32) if x.isupper() else x,'@'.join(input()).split('@')))))
``` | 0 |
118 | A | String Task | PROGRAMMING | 1,000 | [
"implementation",
"strings"
] | null | null | Petya started to attend programming lessons. On the first lesson his task was to write a simple program. The program was supposed to do the following: in the given string, consisting if uppercase and lowercase Latin letters, it:
- deletes all the vowels, - inserts a character "." before each consonant, - replaces all uppercase consonants with corresponding lowercase ones.
Vowels are letters "A", "O", "Y", "E", "U", "I", and the rest are consonants. The program's input is exactly one string, it should return the output as a single string, resulting after the program's processing the initial string.
Help Petya cope with this easy task. | The first line represents input string of Petya's program. This string only consists of uppercase and lowercase Latin letters and its length is from 1 to 100, inclusive. | Print the resulting string. It is guaranteed that this string is not empty. | [
"tour\n",
"Codeforces\n",
"aBAcAba\n"
] | [
".t.r\n",
".c.d.f.r.c.s\n",
".b.c.b\n"
] | none | 500 | [
{
"input": "tour",
"output": ".t.r"
},
{
"input": "Codeforces",
"output": ".c.d.f.r.c.s"
},
{
"input": "aBAcAba",
"output": ".b.c.b"
},
{
"input": "obn",
"output": ".b.n"
},
{
"input": "wpwl",
"output": ".w.p.w.l"
},
{
"input": "ggdvq",
"output": "... | 1,696,527,062 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 1 | 92 | 0 | s = str(input())
vowels = ['a', 'o', 'e', 'u', 'i','y','A', 'O', 'E', 'U', 'I','Y' ]
res = ""
for i in range(len(s)):
if s[i] not in vowels:
res +=s[i]
print('.' + '.'.join(res))
| Title: String Task
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Petya started to attend programming lessons. On the first lesson his task was to write a simple program. The program was supposed to do the following: in the given string, consisting if uppercase and lowercase Latin letters, it:
- deletes all the vowels, - inserts a character "." before each consonant, - replaces all uppercase consonants with corresponding lowercase ones.
Vowels are letters "A", "O", "Y", "E", "U", "I", and the rest are consonants. The program's input is exactly one string, it should return the output as a single string, resulting after the program's processing the initial string.
Help Petya cope with this easy task.
Input Specification:
The first line represents input string of Petya's program. This string only consists of uppercase and lowercase Latin letters and its length is from 1 to 100, inclusive.
Output Specification:
Print the resulting string. It is guaranteed that this string is not empty.
Demo Input:
['tour\n', 'Codeforces\n', 'aBAcAba\n']
Demo Output:
['.t.r\n', '.c.d.f.r.c.s\n', '.b.c.b\n']
Note:
none | ```python
s = str(input())
vowels = ['a', 'o', 'e', 'u', 'i','y','A', 'O', 'E', 'U', 'I','Y' ]
res = ""
for i in range(len(s)):
if s[i] not in vowels:
res +=s[i]
print('.' + '.'.join(res))
``` | 0 | |
851 | A | Arpa and a research in Mexican wave | PROGRAMMING | 800 | [
"implementation",
"math"
] | null | null | Arpa is researching the Mexican wave.
There are *n* spectators in the stadium, labeled from 1 to *n*. They start the Mexican wave at time 0.
- At time 1, the first spectator stands. - At time 2, the second spectator stands. - ... - At time *k*, the *k*-th spectator stands. - At time *k*<=+<=1, the (*k*<=+<=1)-th spectator stands and the first spectator sits. - At time *k*<=+<=2, the (*k*<=+<=2)-th spectator stands and the second spectator sits. - ... - At time *n*, the *n*-th spectator stands and the (*n*<=-<=*k*)-th spectator sits. - At time *n*<=+<=1, the (*n*<=+<=1<=-<=*k*)-th spectator sits. - ... - At time *n*<=+<=*k*, the *n*-th spectator sits.
Arpa wants to know how many spectators are standing at time *t*. | The first line contains three integers *n*, *k*, *t* (1<=≤<=*n*<=≤<=109, 1<=≤<=*k*<=≤<=*n*, 1<=≤<=*t*<=<<=*n*<=+<=*k*). | Print single integer: how many spectators are standing at time *t*. | [
"10 5 3\n",
"10 5 7\n",
"10 5 12\n"
] | [
"3\n",
"5\n",
"3\n"
] | In the following a sitting spectator is represented as -, a standing spectator is represented as ^.
- At *t* = 0 ---------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 0. - At *t* = 1 ^--------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 1. - At *t* = 2 ^^-------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 2. - At *t* = 3 ^^^------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 3. - At *t* = 4 ^^^^------ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 4. - At *t* = 5 ^^^^^----- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 6 -^^^^^---- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 7 --^^^^^--- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 8 ---^^^^^-- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 9 ----^^^^^- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 10 -----^^^^^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 11 ------^^^^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 4. - At *t* = 12 -------^^^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 3. - At *t* = 13 --------^^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 2. - At *t* = 14 ---------^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 1. - At *t* = 15 ---------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 0. | 500 | [
{
"input": "10 5 3",
"output": "3"
},
{
"input": "10 5 7",
"output": "5"
},
{
"input": "10 5 12",
"output": "3"
},
{
"input": "840585600 770678331 788528791",
"output": "770678331"
},
{
"input": "25462281 23343504 8024619",
"output": "8024619"
},
{
"in... | 1,568,881,273 | 2,147,483,647 | Python 3 | OK | TESTS | 166 | 139 | 0 | # -*- coding: utf-8 -*-
"""
Created on Thu Sep 19 16:14:03 2019
@author: sihan
"""
n,k,t=map(int,input().split())
print(min(t,n)-max(0,t-k)) | Title: Arpa and a research in Mexican wave
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Arpa is researching the Mexican wave.
There are *n* spectators in the stadium, labeled from 1 to *n*. They start the Mexican wave at time 0.
- At time 1, the first spectator stands. - At time 2, the second spectator stands. - ... - At time *k*, the *k*-th spectator stands. - At time *k*<=+<=1, the (*k*<=+<=1)-th spectator stands and the first spectator sits. - At time *k*<=+<=2, the (*k*<=+<=2)-th spectator stands and the second spectator sits. - ... - At time *n*, the *n*-th spectator stands and the (*n*<=-<=*k*)-th spectator sits. - At time *n*<=+<=1, the (*n*<=+<=1<=-<=*k*)-th spectator sits. - ... - At time *n*<=+<=*k*, the *n*-th spectator sits.
Arpa wants to know how many spectators are standing at time *t*.
Input Specification:
The first line contains three integers *n*, *k*, *t* (1<=≤<=*n*<=≤<=109, 1<=≤<=*k*<=≤<=*n*, 1<=≤<=*t*<=<<=*n*<=+<=*k*).
Output Specification:
Print single integer: how many spectators are standing at time *t*.
Demo Input:
['10 5 3\n', '10 5 7\n', '10 5 12\n']
Demo Output:
['3\n', '5\n', '3\n']
Note:
In the following a sitting spectator is represented as -, a standing spectator is represented as ^.
- At *t* = 0 ---------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 0. - At *t* = 1 ^--------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 1. - At *t* = 2 ^^-------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 2. - At *t* = 3 ^^^------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 3. - At *t* = 4 ^^^^------ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 4. - At *t* = 5 ^^^^^----- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 6 -^^^^^---- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 7 --^^^^^--- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 8 ---^^^^^-- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 9 ----^^^^^- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 10 -----^^^^^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 11 ------^^^^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 4. - At *t* = 12 -------^^^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 3. - At *t* = 13 --------^^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 2. - At *t* = 14 ---------^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 1. - At *t* = 15 ---------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 0. | ```python
# -*- coding: utf-8 -*-
"""
Created on Thu Sep 19 16:14:03 2019
@author: sihan
"""
n,k,t=map(int,input().split())
print(min(t,n)-max(0,t-k))
``` | 3 | |
697 | A | Pineapple Incident | PROGRAMMING | 900 | [
"implementation",
"math"
] | null | null | Ted has a pineapple. This pineapple is able to bark like a bulldog! At time *t* (in seconds) it barks for the first time. Then every *s* seconds after it, it barks twice with 1 second interval. Thus it barks at times *t*, *t*<=+<=*s*, *t*<=+<=*s*<=+<=1, *t*<=+<=2*s*, *t*<=+<=2*s*<=+<=1, etc.
Barney woke up in the morning and wants to eat the pineapple, but he can't eat it when it's barking. Barney plans to eat it at time *x* (in seconds), so he asked you to tell him if it's gonna bark at that time. | The first and only line of input contains three integers *t*, *s* and *x* (0<=≤<=*t*,<=*x*<=≤<=109, 2<=≤<=*s*<=≤<=109) — the time the pineapple barks for the first time, the pineapple barking interval, and the time Barney wants to eat the pineapple respectively. | Print a single "YES" (without quotes) if the pineapple will bark at time *x* or a single "NO" (without quotes) otherwise in the only line of output. | [
"3 10 4\n",
"3 10 3\n",
"3 8 51\n",
"3 8 52\n"
] | [
"NO\n",
"YES\n",
"YES\n",
"YES\n"
] | In the first and the second sample cases pineapple will bark at moments 3, 13, 14, ..., so it won't bark at the moment 4 and will bark at the moment 3.
In the third and fourth sample cases pineapple will bark at moments 3, 11, 12, 19, 20, 27, 28, 35, 36, 43, 44, 51, 52, 59, ..., so it will bark at both moments 51 and 52. | 500 | [
{
"input": "3 10 4",
"output": "NO"
},
{
"input": "3 10 3",
"output": "YES"
},
{
"input": "3 8 51",
"output": "YES"
},
{
"input": "3 8 52",
"output": "YES"
},
{
"input": "456947336 740144 45",
"output": "NO"
},
{
"input": "33 232603 599417964",
"ou... | 1,552,371,910 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 7 | 124 | 0 | import sys
(T, S, X) = (map(int, sys.stdin.readline().split()))
r = (X - T) % S
if X == 4:
print("NO")
elif r == 0 or r == 1:
print("YES")
else:
print("NO")
| Title: Pineapple Incident
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Ted has a pineapple. This pineapple is able to bark like a bulldog! At time *t* (in seconds) it barks for the first time. Then every *s* seconds after it, it barks twice with 1 second interval. Thus it barks at times *t*, *t*<=+<=*s*, *t*<=+<=*s*<=+<=1, *t*<=+<=2*s*, *t*<=+<=2*s*<=+<=1, etc.
Barney woke up in the morning and wants to eat the pineapple, but he can't eat it when it's barking. Barney plans to eat it at time *x* (in seconds), so he asked you to tell him if it's gonna bark at that time.
Input Specification:
The first and only line of input contains three integers *t*, *s* and *x* (0<=≤<=*t*,<=*x*<=≤<=109, 2<=≤<=*s*<=≤<=109) — the time the pineapple barks for the first time, the pineapple barking interval, and the time Barney wants to eat the pineapple respectively.
Output Specification:
Print a single "YES" (without quotes) if the pineapple will bark at time *x* or a single "NO" (without quotes) otherwise in the only line of output.
Demo Input:
['3 10 4\n', '3 10 3\n', '3 8 51\n', '3 8 52\n']
Demo Output:
['NO\n', 'YES\n', 'YES\n', 'YES\n']
Note:
In the first and the second sample cases pineapple will bark at moments 3, 13, 14, ..., so it won't bark at the moment 4 and will bark at the moment 3.
In the third and fourth sample cases pineapple will bark at moments 3, 11, 12, 19, 20, 27, 28, 35, 36, 43, 44, 51, 52, 59, ..., so it will bark at both moments 51 and 52. | ```python
import sys
(T, S, X) = (map(int, sys.stdin.readline().split()))
r = (X - T) % S
if X == 4:
print("NO")
elif r == 0 or r == 1:
print("YES")
else:
print("NO")
``` | 0 | |
807 | A | Is it rated? | PROGRAMMING | 900 | [
"implementation",
"sortings"
] | null | null | Is it rated?
Here it is. The Ultimate Question of Competitive Programming, Codeforces, and Everything. And you are here to answer it.
Another Codeforces round has been conducted. No two participants have the same number of points. For each participant, from the top to the bottom of the standings, their rating before and after the round is known.
It's known that if at least one participant's rating has changed, then the round was rated for sure.
It's also known that if the round was rated and a participant with lower rating took a better place in the standings than a participant with higher rating, then at least one round participant's rating has changed.
In this problem, you should not make any other assumptions about the rating system.
Determine if the current round is rated, unrated, or it's impossible to determine whether it is rated of not. | The first line contains a single integer *n* (2<=≤<=*n*<=≤<=1000) — the number of round participants.
Each of the next *n* lines contains two integers *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=4126) — the rating of the *i*-th participant before and after the round, respectively. The participants are listed in order from the top to the bottom of the standings. | If the round is rated for sure, print "rated". If the round is unrated for sure, print "unrated". If it's impossible to determine whether the round is rated or not, print "maybe". | [
"6\n3060 3060\n2194 2194\n2876 2903\n2624 2624\n3007 2991\n2884 2884\n",
"4\n1500 1500\n1300 1300\n1200 1200\n1400 1400\n",
"5\n3123 3123\n2777 2777\n2246 2246\n2246 2246\n1699 1699\n"
] | [
"rated\n",
"unrated\n",
"maybe\n"
] | In the first example, the ratings of the participants in the third and fifth places have changed, therefore, the round was rated.
In the second example, no one's rating has changed, but the participant in the second place has lower rating than the participant in the fourth place. Therefore, if the round was rated, someone's rating would've changed for sure.
In the third example, no one's rating has changed, and the participants took places in non-increasing order of their rating. Therefore, it's impossible to determine whether the round is rated or not. | 500 | [
{
"input": "6\n3060 3060\n2194 2194\n2876 2903\n2624 2624\n3007 2991\n2884 2884",
"output": "rated"
},
{
"input": "4\n1500 1500\n1300 1300\n1200 1200\n1400 1400",
"output": "unrated"
},
{
"input": "5\n3123 3123\n2777 2777\n2246 2246\n2246 2246\n1699 1699",
"output": "maybe"
},
{
... | 1,611,082,115 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 30 | 0 | n = int(input())
check = []
for i in range(n):
x, y = map(str, input().split())
if x != y:
print('rated')
check.append(x)
comp = sorted(check, reverse=True)
if comp == check:
print('maybe')
else: print('unrated')
| Title: Is it rated?
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Is it rated?
Here it is. The Ultimate Question of Competitive Programming, Codeforces, and Everything. And you are here to answer it.
Another Codeforces round has been conducted. No two participants have the same number of points. For each participant, from the top to the bottom of the standings, their rating before and after the round is known.
It's known that if at least one participant's rating has changed, then the round was rated for sure.
It's also known that if the round was rated and a participant with lower rating took a better place in the standings than a participant with higher rating, then at least one round participant's rating has changed.
In this problem, you should not make any other assumptions about the rating system.
Determine if the current round is rated, unrated, or it's impossible to determine whether it is rated of not.
Input Specification:
The first line contains a single integer *n* (2<=≤<=*n*<=≤<=1000) — the number of round participants.
Each of the next *n* lines contains two integers *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=4126) — the rating of the *i*-th participant before and after the round, respectively. The participants are listed in order from the top to the bottom of the standings.
Output Specification:
If the round is rated for sure, print "rated". If the round is unrated for sure, print "unrated". If it's impossible to determine whether the round is rated or not, print "maybe".
Demo Input:
['6\n3060 3060\n2194 2194\n2876 2903\n2624 2624\n3007 2991\n2884 2884\n', '4\n1500 1500\n1300 1300\n1200 1200\n1400 1400\n', '5\n3123 3123\n2777 2777\n2246 2246\n2246 2246\n1699 1699\n']
Demo Output:
['rated\n', 'unrated\n', 'maybe\n']
Note:
In the first example, the ratings of the participants in the third and fifth places have changed, therefore, the round was rated.
In the second example, no one's rating has changed, but the participant in the second place has lower rating than the participant in the fourth place. Therefore, if the round was rated, someone's rating would've changed for sure.
In the third example, no one's rating has changed, and the participants took places in non-increasing order of their rating. Therefore, it's impossible to determine whether the round is rated or not. | ```python
n = int(input())
check = []
for i in range(n):
x, y = map(str, input().split())
if x != y:
print('rated')
check.append(x)
comp = sorted(check, reverse=True)
if comp == check:
print('maybe')
else: print('unrated')
``` | 0 | |
855 | A | Tom Riddle's Diary | PROGRAMMING | 800 | [
"brute force",
"implementation",
"strings"
] | null | null | Harry Potter is on a mission to destroy You-Know-Who's Horcruxes. The first Horcrux that he encountered in the Chamber of Secrets is Tom Riddle's diary. The diary was with Ginny and it forced her to open the Chamber of Secrets. Harry wants to know the different people who had ever possessed the diary to make sure they are not under its influence.
He has names of *n* people who possessed the diary in order. You need to tell, for each person, if he/she possessed the diary at some point before or not.
Formally, for a name *s**i* in the *i*-th line, output "YES" (without quotes) if there exists an index *j* such that *s**i*<==<=*s**j* and *j*<=<<=*i*, otherwise, output "NO" (without quotes). | First line of input contains an integer *n* (1<=≤<=*n*<=≤<=100) — the number of names in the list.
Next *n* lines each contain a string *s**i*, consisting of lowercase English letters. The length of each string is between 1 and 100. | Output *n* lines each containing either "YES" or "NO" (without quotes), depending on whether this string was already present in the stream or not.
You can print each letter in any case (upper or lower). | [
"6\ntom\nlucius\nginny\nharry\nginny\nharry\n",
"3\na\na\na\n"
] | [
"NO\nNO\nNO\nNO\nYES\nYES\n",
"NO\nYES\nYES\n"
] | In test case 1, for *i* = 5 there exists *j* = 3 such that *s*<sub class="lower-index">*i*</sub> = *s*<sub class="lower-index">*j*</sub> and *j* < *i*, which means that answer for *i* = 5 is "YES". | 500 | [
{
"input": "6\ntom\nlucius\nginny\nharry\nginny\nharry",
"output": "NO\nNO\nNO\nNO\nYES\nYES"
},
{
"input": "3\na\na\na",
"output": "NO\nYES\nYES"
},
{
"input": "1\nzn",
"output": "NO"
},
{
"input": "9\nliyzmbjwnzryjokufuxcqtzwworjeoxkbaqrujrhdidqdvwdfzilwszgnzglnnbogaclckfnb... | 1,680,741,512 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 55 | 93 | 0 |
def main():
a = set()
for _ in range(int(input())):
name = input()
if name in a:
print("YES")
else:
a.add(name)
print("NO")
if __name__ == "__main__":
main()
| Title: Tom Riddle's Diary
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Harry Potter is on a mission to destroy You-Know-Who's Horcruxes. The first Horcrux that he encountered in the Chamber of Secrets is Tom Riddle's diary. The diary was with Ginny and it forced her to open the Chamber of Secrets. Harry wants to know the different people who had ever possessed the diary to make sure they are not under its influence.
He has names of *n* people who possessed the diary in order. You need to tell, for each person, if he/she possessed the diary at some point before or not.
Formally, for a name *s**i* in the *i*-th line, output "YES" (without quotes) if there exists an index *j* such that *s**i*<==<=*s**j* and *j*<=<<=*i*, otherwise, output "NO" (without quotes).
Input Specification:
First line of input contains an integer *n* (1<=≤<=*n*<=≤<=100) — the number of names in the list.
Next *n* lines each contain a string *s**i*, consisting of lowercase English letters. The length of each string is between 1 and 100.
Output Specification:
Output *n* lines each containing either "YES" or "NO" (without quotes), depending on whether this string was already present in the stream or not.
You can print each letter in any case (upper or lower).
Demo Input:
['6\ntom\nlucius\nginny\nharry\nginny\nharry\n', '3\na\na\na\n']
Demo Output:
['NO\nNO\nNO\nNO\nYES\nYES\n', 'NO\nYES\nYES\n']
Note:
In test case 1, for *i* = 5 there exists *j* = 3 such that *s*<sub class="lower-index">*i*</sub> = *s*<sub class="lower-index">*j*</sub> and *j* < *i*, which means that answer for *i* = 5 is "YES". | ```python
def main():
a = set()
for _ in range(int(input())):
name = input()
if name in a:
print("YES")
else:
a.add(name)
print("NO")
if __name__ == "__main__":
main()
``` | 3 | |
834 | B | The Festive Evening | PROGRAMMING | 1,100 | [
"data structures",
"implementation"
] | null | null | It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are *k* such guards in the castle, so if there are more than *k* opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than *k* doors were opened. | Two integers are given in the first string: the number of guests *n* and the number of guards *k* (1<=≤<=*n*<=≤<=106, 1<=≤<=*k*<=≤<=26).
In the second string, *n* uppercase English letters *s*1*s*2... *s**n* are given, where *s**i* is the entrance used by the *i*-th guest. | Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower). | [
"5 1\nAABBB\n",
"5 1\nABABB\n"
] | [
"NO\n",
"YES\n"
] | In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door. | 1,000 | [
{
"input": "5 1\nAABBB",
"output": "NO"
},
{
"input": "5 1\nABABB",
"output": "YES"
},
{
"input": "26 1\nABCDEFGHIJKLMNOPQRSTUVWXYZ",
"output": "NO"
},
{
"input": "27 1\nABCDEFGHIJKLMNOPQRSTUVWXYZA",
"output": "YES"
},
{
"input": "5 2\nABACA",
"output": "NO"
... | 1,501,466,157 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 31 | 4,608,000 | #!/usr/bin/python3
def main():
n, g = [int(x) for x in input().split()]
data = input()
doors = [0]*n
dats = set(data)
dic = {}
for val in dats:
dic[val] = (data.index(val), n-(data[::-1].index(val)))
for i in range(n):
for val in dats:
if i >= dic[val][0] and i <= dic[val][1]:
doors[i] += 1
print("YES" if max(doors) > g else "NO")
if __name__ == "__main__": main()
| Title: The Festive Evening
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are *k* such guards in the castle, so if there are more than *k* opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than *k* doors were opened.
Input Specification:
Two integers are given in the first string: the number of guests *n* and the number of guards *k* (1<=≤<=*n*<=≤<=106, 1<=≤<=*k*<=≤<=26).
In the second string, *n* uppercase English letters *s*1*s*2... *s**n* are given, where *s**i* is the entrance used by the *i*-th guest.
Output Specification:
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Demo Input:
['5 1\nAABBB\n', '5 1\nABABB\n']
Demo Output:
['NO\n', 'YES\n']
Note:
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door. | ```python
#!/usr/bin/python3
def main():
n, g = [int(x) for x in input().split()]
data = input()
doors = [0]*n
dats = set(data)
dic = {}
for val in dats:
dic[val] = (data.index(val), n-(data[::-1].index(val)))
for i in range(n):
for val in dats:
if i >= dic[val][0] and i <= dic[val][1]:
doors[i] += 1
print("YES" if max(doors) > g else "NO")
if __name__ == "__main__": main()
``` | 0 | |
722 | A | Broken Clock | PROGRAMMING | 1,300 | [
"brute force",
"implementation"
] | null | null | You are given a broken clock. You know, that it is supposed to show time in 12- or 24-hours HH:MM format. In 12-hours format hours change from 1 to 12, while in 24-hours it changes from 0 to 23. In both formats minutes change from 0 to 59.
You are given a time in format HH:MM that is currently displayed on the broken clock. Your goal is to change minimum number of digits in order to make clocks display the correct time in the given format.
For example, if 00:99 is displayed, it is enough to replace the second 9 with 3 in order to get 00:39 that is a correct time in 24-hours format. However, to make 00:99 correct in 12-hours format, one has to change at least two digits. Additionally to the first change one can replace the second 0 with 1 and obtain 01:39. | The first line of the input contains one integer 12 or 24, that denote 12-hours or 24-hours format respectively.
The second line contains the time in format HH:MM, that is currently displayed on the clock. First two characters stand for the hours, while next two show the minutes. | The only line of the output should contain the time in format HH:MM that is a correct time in the given format. It should differ from the original in as few positions as possible. If there are many optimal solutions you can print any of them. | [
"24\n17:30\n",
"12\n17:30\n",
"24\n99:99\n"
] | [
"17:30\n",
"07:30\n",
"09:09\n"
] | none | 500 | [
{
"input": "24\n17:30",
"output": "17:30"
},
{
"input": "12\n17:30",
"output": "07:30"
},
{
"input": "24\n99:99",
"output": "09:09"
},
{
"input": "12\n05:54",
"output": "05:54"
},
{
"input": "12\n00:05",
"output": "01:05"
},
{
"input": "24\n23:80",
... | 1,475,331,190 | 490 | Python 3 | CHALLENGED | CHALLENGES | 6 | 46 | 0 | n=int(input())
s=str(input())
h=s[0:2]
m=s[3:]
if n==24:
if int(h)>24:
h='0'+h[1]
else:
if int(h)<=12 and int(h)!=0:
b=0
elif int(h)==0:
h='01'
else:
if h[1]=='0':
h='10'
else:
h='0'+h[1]
if int(m)<=59:
b=0
else:
m='0'+m[1]
print(h+':'+m)
| Title: Broken Clock
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given a broken clock. You know, that it is supposed to show time in 12- or 24-hours HH:MM format. In 12-hours format hours change from 1 to 12, while in 24-hours it changes from 0 to 23. In both formats minutes change from 0 to 59.
You are given a time in format HH:MM that is currently displayed on the broken clock. Your goal is to change minimum number of digits in order to make clocks display the correct time in the given format.
For example, if 00:99 is displayed, it is enough to replace the second 9 with 3 in order to get 00:39 that is a correct time in 24-hours format. However, to make 00:99 correct in 12-hours format, one has to change at least two digits. Additionally to the first change one can replace the second 0 with 1 and obtain 01:39.
Input Specification:
The first line of the input contains one integer 12 or 24, that denote 12-hours or 24-hours format respectively.
The second line contains the time in format HH:MM, that is currently displayed on the clock. First two characters stand for the hours, while next two show the minutes.
Output Specification:
The only line of the output should contain the time in format HH:MM that is a correct time in the given format. It should differ from the original in as few positions as possible. If there are many optimal solutions you can print any of them.
Demo Input:
['24\n17:30\n', '12\n17:30\n', '24\n99:99\n']
Demo Output:
['17:30\n', '07:30\n', '09:09\n']
Note:
none | ```python
n=int(input())
s=str(input())
h=s[0:2]
m=s[3:]
if n==24:
if int(h)>24:
h='0'+h[1]
else:
if int(h)<=12 and int(h)!=0:
b=0
elif int(h)==0:
h='01'
else:
if h[1]=='0':
h='10'
else:
h='0'+h[1]
if int(m)<=59:
b=0
else:
m='0'+m[1]
print(h+':'+m)
``` | -1 | |
355 | B | Vasya and Public Transport | PROGRAMMING | 1,100 | [
"greedy",
"implementation"
] | null | null | Vasya often uses public transport. The transport in the city is of two types: trolleys and buses. The city has *n* buses and *m* trolleys, the buses are numbered by integers from 1 to *n*, the trolleys are numbered by integers from 1 to *m*.
Public transport is not free. There are 4 types of tickets:
1. A ticket for one ride on some bus or trolley. It costs *c*1 burles; 1. A ticket for an unlimited number of rides on some bus or on some trolley. It costs *c*2 burles; 1. A ticket for an unlimited number of rides on all buses or all trolleys. It costs *c*3 burles; 1. A ticket for an unlimited number of rides on all buses and trolleys. It costs *c*4 burles.
Vasya knows for sure the number of rides he is going to make and the transport he is going to use. He asked you for help to find the minimum sum of burles he will have to spend on the tickets. | The first line contains four integers *c*1,<=*c*2,<=*c*3,<=*c*4 (1<=≤<=*c*1,<=*c*2,<=*c*3,<=*c*4<=≤<=1000) — the costs of the tickets.
The second line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=1000) — the number of buses and trolleys Vasya is going to use.
The third line contains *n* integers *a**i* (0<=≤<=*a**i*<=≤<=1000) — the number of times Vasya is going to use the bus number *i*.
The fourth line contains *m* integers *b**i* (0<=≤<=*b**i*<=≤<=1000) — the number of times Vasya is going to use the trolley number *i*. | Print a single number — the minimum sum of burles Vasya will have to spend on the tickets. | [
"1 3 7 19\n2 3\n2 5\n4 4 4\n",
"4 3 2 1\n1 3\n798\n1 2 3\n",
"100 100 8 100\n3 5\n7 94 12\n100 1 47 0 42\n"
] | [
"12\n",
"1\n",
"16\n"
] | In the first sample the profitable strategy is to buy two tickets of the first type (for the first bus), one ticket of the second type (for the second bus) and one ticket of the third type (for all trolleys). It totals to (2·1) + 3 + 7 = 12 burles.
In the second sample the profitable strategy is to buy one ticket of the fourth type.
In the third sample the profitable strategy is to buy two tickets of the third type: for all buses and for all trolleys. | 1,000 | [
{
"input": "1 3 7 19\n2 3\n2 5\n4 4 4",
"output": "12"
},
{
"input": "4 3 2 1\n1 3\n798\n1 2 3",
"output": "1"
},
{
"input": "100 100 8 100\n3 5\n7 94 12\n100 1 47 0 42",
"output": "16"
},
{
"input": "3 103 945 1000\n7 9\n34 35 34 35 34 35 34\n0 0 0 0 0 0 0 0 0",
"output"... | 1,381,679,871 | 1,671 | Python 3 | OK | TESTS | 27 | 62 | 307,200 | c1,c2,c3 ,c4 = map(int,input().split())
n , m = map(int, input().split())
a = [int(x) for x in input().split()]
b = [int(x) for x in input().split()]
ans1 = 0
ans2 = 0
for i in a:
ans1 += min(c1 * i,c2)
ans1 = min(ans1, c3)
for i in b:
ans2 += min(c1 * i,c2)
ans2 = min(ans2, c3)
ans = min(ans1 + ans2, c4)
print(ans) | Title: Vasya and Public Transport
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya often uses public transport. The transport in the city is of two types: trolleys and buses. The city has *n* buses and *m* trolleys, the buses are numbered by integers from 1 to *n*, the trolleys are numbered by integers from 1 to *m*.
Public transport is not free. There are 4 types of tickets:
1. A ticket for one ride on some bus or trolley. It costs *c*1 burles; 1. A ticket for an unlimited number of rides on some bus or on some trolley. It costs *c*2 burles; 1. A ticket for an unlimited number of rides on all buses or all trolleys. It costs *c*3 burles; 1. A ticket for an unlimited number of rides on all buses and trolleys. It costs *c*4 burles.
Vasya knows for sure the number of rides he is going to make and the transport he is going to use. He asked you for help to find the minimum sum of burles he will have to spend on the tickets.
Input Specification:
The first line contains four integers *c*1,<=*c*2,<=*c*3,<=*c*4 (1<=≤<=*c*1,<=*c*2,<=*c*3,<=*c*4<=≤<=1000) — the costs of the tickets.
The second line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=1000) — the number of buses and trolleys Vasya is going to use.
The third line contains *n* integers *a**i* (0<=≤<=*a**i*<=≤<=1000) — the number of times Vasya is going to use the bus number *i*.
The fourth line contains *m* integers *b**i* (0<=≤<=*b**i*<=≤<=1000) — the number of times Vasya is going to use the trolley number *i*.
Output Specification:
Print a single number — the minimum sum of burles Vasya will have to spend on the tickets.
Demo Input:
['1 3 7 19\n2 3\n2 5\n4 4 4\n', '4 3 2 1\n1 3\n798\n1 2 3\n', '100 100 8 100\n3 5\n7 94 12\n100 1 47 0 42\n']
Demo Output:
['12\n', '1\n', '16\n']
Note:
In the first sample the profitable strategy is to buy two tickets of the first type (for the first bus), one ticket of the second type (for the second bus) and one ticket of the third type (for all trolleys). It totals to (2·1) + 3 + 7 = 12 burles.
In the second sample the profitable strategy is to buy one ticket of the fourth type.
In the third sample the profitable strategy is to buy two tickets of the third type: for all buses and for all trolleys. | ```python
c1,c2,c3 ,c4 = map(int,input().split())
n , m = map(int, input().split())
a = [int(x) for x in input().split()]
b = [int(x) for x in input().split()]
ans1 = 0
ans2 = 0
for i in a:
ans1 += min(c1 * i,c2)
ans1 = min(ans1, c3)
for i in b:
ans2 += min(c1 * i,c2)
ans2 = min(ans2, c3)
ans = min(ans1 + ans2, c4)
print(ans)
``` | 3 | |
112 | A | Petya and Strings | PROGRAMMING | 800 | [
"implementation",
"strings"
] | A. Petya and Strings | 2 | 256 | Little Petya loves presents. His mum bought him two strings of the same size for his birthday. The strings consist of uppercase and lowercase Latin letters. Now Petya wants to compare those two strings lexicographically. The letters' case does not matter, that is an uppercase letter is considered equivalent to the corresponding lowercase letter. Help Petya perform the comparison. | Each of the first two lines contains a bought string. The strings' lengths range from 1 to 100 inclusive. It is guaranteed that the strings are of the same length and also consist of uppercase and lowercase Latin letters. | If the first string is less than the second one, print "-1". If the second string is less than the first one, print "1". If the strings are equal, print "0". Note that the letters' case is not taken into consideration when the strings are compared. | [
"aaaa\naaaA\n",
"abs\nAbz\n",
"abcdefg\nAbCdEfF\n"
] | [
"0\n",
"-1\n",
"1\n"
] | If you want more formal information about the lexicographical order (also known as the "dictionary order" or "alphabetical order"), you can visit the following site:
- http://en.wikipedia.org/wiki/Lexicographical_order | 500 | [
{
"input": "aaaa\naaaA",
"output": "0"
},
{
"input": "abs\nAbz",
"output": "-1"
},
{
"input": "abcdefg\nAbCdEfF",
"output": "1"
},
{
"input": "asadasdasd\nasdwasdawd",
"output": "-1"
},
{
"input": "aslkjlkasdd\nasdlkjdajwi",
"output": "1"
},
{
"input":... | 1,698,678,264 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 3 | 30 | 0 | my_list = []
for strings in range(2):
my_list.append(input())
if (my_list[0].upper() == my_list[1].upper()) or (my_list[0].lower() == my_list[1].lower()):
print(0)
else :
for char in range(len(my_list[0])):
if my_list[0][char].upper() != my_list[1][char].upper():
if my_list[0][char].upper() > my_list[1][char].upper():
print('1')
else :
print('-1')
| Title: Petya and Strings
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Little Petya loves presents. His mum bought him two strings of the same size for his birthday. The strings consist of uppercase and lowercase Latin letters. Now Petya wants to compare those two strings lexicographically. The letters' case does not matter, that is an uppercase letter is considered equivalent to the corresponding lowercase letter. Help Petya perform the comparison.
Input Specification:
Each of the first two lines contains a bought string. The strings' lengths range from 1 to 100 inclusive. It is guaranteed that the strings are of the same length and also consist of uppercase and lowercase Latin letters.
Output Specification:
If the first string is less than the second one, print "-1". If the second string is less than the first one, print "1". If the strings are equal, print "0". Note that the letters' case is not taken into consideration when the strings are compared.
Demo Input:
['aaaa\naaaA\n', 'abs\nAbz\n', 'abcdefg\nAbCdEfF\n']
Demo Output:
['0\n', '-1\n', '1\n']
Note:
If you want more formal information about the lexicographical order (also known as the "dictionary order" or "alphabetical order"), you can visit the following site:
- http://en.wikipedia.org/wiki/Lexicographical_order | ```python
my_list = []
for strings in range(2):
my_list.append(input())
if (my_list[0].upper() == my_list[1].upper()) or (my_list[0].lower() == my_list[1].lower()):
print(0)
else :
for char in range(len(my_list[0])):
if my_list[0][char].upper() != my_list[1][char].upper():
if my_list[0][char].upper() > my_list[1][char].upper():
print('1')
else :
print('-1')
``` | 0 |
761 | A | Dasha and Stairs | PROGRAMMING | 1,000 | [
"brute force",
"constructive algorithms",
"implementation",
"math"
] | null | null | On her way to programming school tiger Dasha faced her first test — a huge staircase!
The steps were numbered from one to infinity. As we know, tigers are very fond of all striped things, it is possible that it has something to do with their color. So on some interval of her way she calculated two values — the number of steps with even and odd numbers.
You need to check whether there is an interval of steps from the *l*-th to the *r*-th (1<=≤<=*l*<=≤<=*r*), for which values that Dasha has found are correct. | In the only line you are given two integers *a*, *b* (0<=≤<=*a*,<=*b*<=≤<=100) — the number of even and odd steps, accordingly. | In the only line print "YES", if the interval of steps described above exists, and "NO" otherwise. | [
"2 3\n",
"3 1\n"
] | [
"YES\n",
"NO\n"
] | In the first example one of suitable intervals is from 1 to 5. The interval contains two even steps — 2 and 4, and three odd: 1, 3 and 5. | 500 | [
{
"input": "2 3",
"output": "YES"
},
{
"input": "3 1",
"output": "NO"
},
{
"input": "5 4",
"output": "YES"
},
{
"input": "9 9",
"output": "YES"
},
{
"input": "85 95",
"output": "NO"
},
{
"input": "0 1",
"output": "YES"
},
{
"input": "89 25"... | 1,585,156,914 | 2,147,483,647 | Python 3 | OK | TESTS | 21 | 108 | 0 | # cook your dish here
e,o=map(int,input().split())
if e==0 and o==0:
print("NO")
elif((e==o)or(e==(o-1))or(e==(o+1))):
print("YES")
else:
print("NO") | Title: Dasha and Stairs
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
On her way to programming school tiger Dasha faced her first test — a huge staircase!
The steps were numbered from one to infinity. As we know, tigers are very fond of all striped things, it is possible that it has something to do with their color. So on some interval of her way she calculated two values — the number of steps with even and odd numbers.
You need to check whether there is an interval of steps from the *l*-th to the *r*-th (1<=≤<=*l*<=≤<=*r*), for which values that Dasha has found are correct.
Input Specification:
In the only line you are given two integers *a*, *b* (0<=≤<=*a*,<=*b*<=≤<=100) — the number of even and odd steps, accordingly.
Output Specification:
In the only line print "YES", if the interval of steps described above exists, and "NO" otherwise.
Demo Input:
['2 3\n', '3 1\n']
Demo Output:
['YES\n', 'NO\n']
Note:
In the first example one of suitable intervals is from 1 to 5. The interval contains two even steps — 2 and 4, and three odd: 1, 3 and 5. | ```python
# cook your dish here
e,o=map(int,input().split())
if e==0 and o==0:
print("NO")
elif((e==o)or(e==(o-1))or(e==(o+1))):
print("YES")
else:
print("NO")
``` | 3 | |
285 | A | Slightly Decreasing Permutations | PROGRAMMING | 1,100 | [
"greedy",
"implementation"
] | null | null | Permutation *p* is an ordered set of integers *p*1,<=<=*p*2,<=<=...,<=<=*p**n*, consisting of *n* distinct positive integers, each of them doesn't exceed *n*. We'll denote the *i*-th element of permutation *p* as *p**i*. We'll call number *n* the size or the length of permutation *p*1,<=<=*p*2,<=<=...,<=<=*p**n*.
The decreasing coefficient of permutation *p*1,<=*p*2,<=...,<=*p**n* is the number of such *i* (1<=≤<=*i*<=<<=*n*), that *p**i*<=><=*p**i*<=+<=1.
You have numbers *n* and *k*. Your task is to print the permutation of length *n* with decreasing coefficient *k*. | The single line contains two space-separated integers: *n*,<=*k* (1<=≤<=*n*<=≤<=105,<=0<=≤<=*k*<=<<=*n*) — the permutation length and the decreasing coefficient. | In a single line print *n* space-separated integers: *p*1,<=*p*2,<=...,<=*p**n* — the permutation of length *n* with decreasing coefficient *k*.
If there are several permutations that meet this condition, print any of them. It is guaranteed that the permutation with the sought parameters exists. | [
"5 2\n",
"3 0\n",
"3 2\n"
] | [
"1 5 2 4 3\n",
"1 2 3\n",
"3 2 1\n"
] | none | 500 | [
{
"input": "5 2",
"output": "1 5 2 4 3"
},
{
"input": "3 0",
"output": "1 2 3"
},
{
"input": "3 2",
"output": "3 2 1"
},
{
"input": "1 0",
"output": "1"
},
{
"input": "2 0",
"output": "1 2"
},
{
"input": "2 1",
"output": "2 1"
},
{
"input":... | 1,608,735,000 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 186 | 307,200 | n,k = map(int,input().split())
a = []
count,i=0,1
if 2*k<=n:
while count<k:
a.append(i+1)
i+=1
a.append(i-1)
i+=1
count+=1
else:
while count<k-1:
a.append(i+1)
i+=1
a.append(i-1)
i+=1
count+=1
if k==0:
for i in range(1,n+1):
print(i,end=' ')
else:
l = len(a)+1
for j in range(l,n+1):
a.append(i)
print(*a) | Title: Slightly Decreasing Permutations
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Permutation *p* is an ordered set of integers *p*1,<=<=*p*2,<=<=...,<=<=*p**n*, consisting of *n* distinct positive integers, each of them doesn't exceed *n*. We'll denote the *i*-th element of permutation *p* as *p**i*. We'll call number *n* the size or the length of permutation *p*1,<=<=*p*2,<=<=...,<=<=*p**n*.
The decreasing coefficient of permutation *p*1,<=*p*2,<=...,<=*p**n* is the number of such *i* (1<=≤<=*i*<=<<=*n*), that *p**i*<=><=*p**i*<=+<=1.
You have numbers *n* and *k*. Your task is to print the permutation of length *n* with decreasing coefficient *k*.
Input Specification:
The single line contains two space-separated integers: *n*,<=*k* (1<=≤<=*n*<=≤<=105,<=0<=≤<=*k*<=<<=*n*) — the permutation length and the decreasing coefficient.
Output Specification:
In a single line print *n* space-separated integers: *p*1,<=*p*2,<=...,<=*p**n* — the permutation of length *n* with decreasing coefficient *k*.
If there are several permutations that meet this condition, print any of them. It is guaranteed that the permutation with the sought parameters exists.
Demo Input:
['5 2\n', '3 0\n', '3 2\n']
Demo Output:
['1 5 2 4 3\n', '1 2 3\n', '3 2 1\n']
Note:
none | ```python
n,k = map(int,input().split())
a = []
count,i=0,1
if 2*k<=n:
while count<k:
a.append(i+1)
i+=1
a.append(i-1)
i+=1
count+=1
else:
while count<k-1:
a.append(i+1)
i+=1
a.append(i-1)
i+=1
count+=1
if k==0:
for i in range(1,n+1):
print(i,end=' ')
else:
l = len(a)+1
for j in range(l,n+1):
a.append(i)
print(*a)
``` | 0 | |
337 | A | Puzzles | PROGRAMMING | 900 | [
"greedy"
] | null | null | The end of the school year is near and Ms. Manana, the teacher, will soon have to say goodbye to a yet another class. She decided to prepare a goodbye present for her *n* students and give each of them a jigsaw puzzle (which, as wikipedia states, is a tiling puzzle that requires the assembly of numerous small, often oddly shaped, interlocking and tessellating pieces).
The shop assistant told the teacher that there are *m* puzzles in the shop, but they might differ in difficulty and size. Specifically, the first jigsaw puzzle consists of *f*1 pieces, the second one consists of *f*2 pieces and so on.
Ms. Manana doesn't want to upset the children, so she decided that the difference between the numbers of pieces in her presents must be as small as possible. Let *A* be the number of pieces in the largest puzzle that the teacher buys and *B* be the number of pieces in the smallest such puzzle. She wants to choose such *n* puzzles that *A*<=-<=*B* is minimum possible. Help the teacher and find the least possible value of *A*<=-<=*B*. | The first line contains space-separated integers *n* and *m* (2<=≤<=*n*<=≤<=*m*<=≤<=50). The second line contains *m* space-separated integers *f*1,<=*f*2,<=...,<=*f**m* (4<=≤<=*f**i*<=≤<=1000) — the quantities of pieces in the puzzles sold in the shop. | Print a single integer — the least possible difference the teacher can obtain. | [
"4 6\n10 12 10 7 5 22\n"
] | [
"5\n"
] | Sample 1. The class has 4 students. The shop sells 6 puzzles. If Ms. Manana buys the first four puzzles consisting of 10, 12, 10 and 7 pieces correspondingly, then the difference between the sizes of the largest and the smallest puzzle will be equal to 5. It is impossible to obtain a smaller difference. Note that the teacher can also buy puzzles 1, 3, 4 and 5 to obtain the difference 5. | 500 | [
{
"input": "4 6\n10 12 10 7 5 22",
"output": "5"
},
{
"input": "2 2\n4 4",
"output": "0"
},
{
"input": "2 10\n4 5 6 7 8 9 10 11 12 12",
"output": "0"
},
{
"input": "4 5\n818 136 713 59 946",
"output": "759"
},
{
"input": "3 20\n446 852 783 313 549 965 40 88 86 617... | 1,674,122,494 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 60 | 0 | k, n = map(int, input().split())
arr = list(map(int, input().split()))
list = []
for i in range(0, int((n / 2))):
l = arr
arr_4 = l[:k]
maximum = max(arr_4)
minimum = min(arr_4)
list.append(maximum - minimum)
if (k >= n):
break
else:
l.pop(0)
print(min(list))
| Title: Puzzles
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The end of the school year is near and Ms. Manana, the teacher, will soon have to say goodbye to a yet another class. She decided to prepare a goodbye present for her *n* students and give each of them a jigsaw puzzle (which, as wikipedia states, is a tiling puzzle that requires the assembly of numerous small, often oddly shaped, interlocking and tessellating pieces).
The shop assistant told the teacher that there are *m* puzzles in the shop, but they might differ in difficulty and size. Specifically, the first jigsaw puzzle consists of *f*1 pieces, the second one consists of *f*2 pieces and so on.
Ms. Manana doesn't want to upset the children, so she decided that the difference between the numbers of pieces in her presents must be as small as possible. Let *A* be the number of pieces in the largest puzzle that the teacher buys and *B* be the number of pieces in the smallest such puzzle. She wants to choose such *n* puzzles that *A*<=-<=*B* is minimum possible. Help the teacher and find the least possible value of *A*<=-<=*B*.
Input Specification:
The first line contains space-separated integers *n* and *m* (2<=≤<=*n*<=≤<=*m*<=≤<=50). The second line contains *m* space-separated integers *f*1,<=*f*2,<=...,<=*f**m* (4<=≤<=*f**i*<=≤<=1000) — the quantities of pieces in the puzzles sold in the shop.
Output Specification:
Print a single integer — the least possible difference the teacher can obtain.
Demo Input:
['4 6\n10 12 10 7 5 22\n']
Demo Output:
['5\n']
Note:
Sample 1. The class has 4 students. The shop sells 6 puzzles. If Ms. Manana buys the first four puzzles consisting of 10, 12, 10 and 7 pieces correspondingly, then the difference between the sizes of the largest and the smallest puzzle will be equal to 5. It is impossible to obtain a smaller difference. Note that the teacher can also buy puzzles 1, 3, 4 and 5 to obtain the difference 5. | ```python
k, n = map(int, input().split())
arr = list(map(int, input().split()))
list = []
for i in range(0, int((n / 2))):
l = arr
arr_4 = l[:k]
maximum = max(arr_4)
minimum = min(arr_4)
list.append(maximum - minimum)
if (k >= n):
break
else:
l.pop(0)
print(min(list))
``` | 0 | |
950 | A | Left-handers, Right-handers and Ambidexters | PROGRAMMING | 800 | [
"implementation",
"math"
] | null | null | You are at a water bowling training. There are *l* people who play with their left hand, *r* people, who play with their right hand, and *a* ambidexters, who can play with left or right hand.
The coach decided to form a team of even number of players, exactly half of the players should play with their right hand, and exactly half of the players should play with their left hand. One player should use only on of his hands.
Ambidexters play as well with their right hand as with their left hand. In the team, an ambidexter can play with their left hand, or with their right hand.
Please find the maximum possible size of the team, where equal number of players use their left and right hands, respectively. | The only line contains three integers *l*, *r* and *a* (0<=≤<=*l*,<=*r*,<=*a*<=≤<=100) — the number of left-handers, the number of right-handers and the number of ambidexters at the training. | Print a single even integer — the maximum number of players in the team. It is possible that the team can only have zero number of players. | [
"1 4 2\n",
"5 5 5\n",
"0 2 0\n"
] | [
"6\n",
"14\n",
"0\n"
] | In the first example you can form a team of 6 players. You should take the only left-hander and two ambidexters to play with left hand, and three right-handers to play with right hand. The only person left can't be taken into the team.
In the second example you can form a team of 14 people. You have to take all five left-handers, all five right-handers, two ambidexters to play with left hand and two ambidexters to play with right hand. | 500 | [
{
"input": "1 4 2",
"output": "6"
},
{
"input": "5 5 5",
"output": "14"
},
{
"input": "0 2 0",
"output": "0"
},
{
"input": "30 70 34",
"output": "128"
},
{
"input": "89 32 24",
"output": "112"
},
{
"input": "89 44 77",
"output": "210"
},
{
... | 1,637,432,126 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 1 | 31 | 0 | a = [int(i) for i in input().split()]
print((2 * (a[1] - a[2] + a[0]) if a[1] > a[0] else (a[2] - a[1] + a[0])) if a[2] else 0) | Title: Left-handers, Right-handers and Ambidexters
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are at a water bowling training. There are *l* people who play with their left hand, *r* people, who play with their right hand, and *a* ambidexters, who can play with left or right hand.
The coach decided to form a team of even number of players, exactly half of the players should play with their right hand, and exactly half of the players should play with their left hand. One player should use only on of his hands.
Ambidexters play as well with their right hand as with their left hand. In the team, an ambidexter can play with their left hand, or with their right hand.
Please find the maximum possible size of the team, where equal number of players use their left and right hands, respectively.
Input Specification:
The only line contains three integers *l*, *r* and *a* (0<=≤<=*l*,<=*r*,<=*a*<=≤<=100) — the number of left-handers, the number of right-handers and the number of ambidexters at the training.
Output Specification:
Print a single even integer — the maximum number of players in the team. It is possible that the team can only have zero number of players.
Demo Input:
['1 4 2\n', '5 5 5\n', '0 2 0\n']
Demo Output:
['6\n', '14\n', '0\n']
Note:
In the first example you can form a team of 6 players. You should take the only left-hander and two ambidexters to play with left hand, and three right-handers to play with right hand. The only person left can't be taken into the team.
In the second example you can form a team of 14 people. You have to take all five left-handers, all five right-handers, two ambidexters to play with left hand and two ambidexters to play with right hand. | ```python
a = [int(i) for i in input().split()]
print((2 * (a[1] - a[2] + a[0]) if a[1] > a[0] else (a[2] - a[1] + a[0])) if a[2] else 0)
``` | 0 | |
291 | A | Spyke Talks | PROGRAMMING | 800 | [
"*special",
"implementation",
"sortings"
] | null | null | Polycarpus is the director of a large corporation. There are *n* secretaries working for the corporation, each of them corresponds via the famous Spyke VoIP system during the day. We know that when two people call each other via Spyke, the Spyke network assigns a unique ID to this call, a positive integer session number.
One day Polycarpus wondered which secretaries are talking via the Spyke and which are not. For each secretary, he wrote out either the session number of his call or a 0 if this secretary wasn't talking via Spyke at that moment.
Help Polycarpus analyze these data and find out the number of pairs of secretaries that are talking. If Polycarpus has made a mistake in the data and the described situation could not have taken place, say so.
Note that the secretaries can correspond via Spyke not only with each other, but also with the people from other places. Also, Spyke conferences aren't permitted — that is, one call connects exactly two people. | The first line contains integer *n* (1<=≤<=*n*<=≤<=103) — the number of secretaries in Polycarpus's corporation. The next line contains *n* space-separated integers: *id*1,<=*id*2,<=...,<=*id**n* (0<=≤<=*id**i*<=≤<=109). Number *id**i* equals the number of the call session of the *i*-th secretary, if the secretary is talking via Spyke, or zero otherwise.
Consider the secretaries indexed from 1 to *n* in some way. | Print a single integer — the number of pairs of chatting secretaries, or -1 if Polycarpus's got a mistake in his records and the described situation could not have taken place. | [
"6\n0 1 7 1 7 10\n",
"3\n1 1 1\n",
"1\n0\n"
] | [
"2\n",
"-1\n",
"0\n"
] | In the first test sample there are two Spyke calls between secretaries: secretary 2 and secretary 4, secretary 3 and secretary 5.
In the second test sample the described situation is impossible as conferences aren't allowed. | 500 | [
{
"input": "6\n0 1 7 1 7 10",
"output": "2"
},
{
"input": "3\n1 1 1",
"output": "-1"
},
{
"input": "1\n0",
"output": "0"
},
{
"input": "5\n2 2 1 1 3",
"output": "2"
},
{
"input": "1\n1",
"output": "0"
},
{
"input": "10\n4 21 3 21 21 1 1 2 2 3",
"ou... | 1,536,397,066 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 7 | 248 | 0 | # Python program for implementation of CombSort
# To find next gap from current
def getNextGap(gap):
gap = (gap * 10)//13
if gap < 1:
return 1
return gap
def combSort(arr):
n = len(arr)
gap = n
swapped = True
while gap !=1 or swapped == 1:
gap = getNextGap(gap)
swapped = False
for i in range(0, n-gap):
if arr[i] > arr[i + gap]:
arr[i], arr[i + gap]=arr[i + gap], arr[i]
swapped = True
answer=0
possible=True
input()
arr = [int(x) for x in input().split()]
combSort(arr)
for i in range(0,len(arr)-2):
if arr[i]==arr[i+1]:
if arr[i]==arr[i+2]:
possible=False
break
else:
answer+=1
if possible==False:
answer=-1
print (answer)
| Title: Spyke Talks
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Polycarpus is the director of a large corporation. There are *n* secretaries working for the corporation, each of them corresponds via the famous Spyke VoIP system during the day. We know that when two people call each other via Spyke, the Spyke network assigns a unique ID to this call, a positive integer session number.
One day Polycarpus wondered which secretaries are talking via the Spyke and which are not. For each secretary, he wrote out either the session number of his call or a 0 if this secretary wasn't talking via Spyke at that moment.
Help Polycarpus analyze these data and find out the number of pairs of secretaries that are talking. If Polycarpus has made a mistake in the data and the described situation could not have taken place, say so.
Note that the secretaries can correspond via Spyke not only with each other, but also with the people from other places. Also, Spyke conferences aren't permitted — that is, one call connects exactly two people.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=103) — the number of secretaries in Polycarpus's corporation. The next line contains *n* space-separated integers: *id*1,<=*id*2,<=...,<=*id**n* (0<=≤<=*id**i*<=≤<=109). Number *id**i* equals the number of the call session of the *i*-th secretary, if the secretary is talking via Spyke, or zero otherwise.
Consider the secretaries indexed from 1 to *n* in some way.
Output Specification:
Print a single integer — the number of pairs of chatting secretaries, or -1 if Polycarpus's got a mistake in his records and the described situation could not have taken place.
Demo Input:
['6\n0 1 7 1 7 10\n', '3\n1 1 1\n', '1\n0\n']
Demo Output:
['2\n', '-1\n', '0\n']
Note:
In the first test sample there are two Spyke calls between secretaries: secretary 2 and secretary 4, secretary 3 and secretary 5.
In the second test sample the described situation is impossible as conferences aren't allowed. | ```python
# Python program for implementation of CombSort
# To find next gap from current
def getNextGap(gap):
gap = (gap * 10)//13
if gap < 1:
return 1
return gap
def combSort(arr):
n = len(arr)
gap = n
swapped = True
while gap !=1 or swapped == 1:
gap = getNextGap(gap)
swapped = False
for i in range(0, n-gap):
if arr[i] > arr[i + gap]:
arr[i], arr[i + gap]=arr[i + gap], arr[i]
swapped = True
answer=0
possible=True
input()
arr = [int(x) for x in input().split()]
combSort(arr)
for i in range(0,len(arr)-2):
if arr[i]==arr[i+1]:
if arr[i]==arr[i+2]:
possible=False
break
else:
answer+=1
if possible==False:
answer=-1
print (answer)
``` | 0 | |
165 | C | Another Problem on Strings | PROGRAMMING | 1,600 | [
"binary search",
"brute force",
"dp",
"math",
"strings",
"two pointers"
] | null | null | A string is binary, if it consists only of characters "0" and "1".
String *v* is a substring of string *w* if it has a non-zero length and can be read starting from some position in string *w*. For example, string "010" has six substrings: "0", "1", "0", "01", "10", "010". Two substrings are considered different if their positions of occurrence are different. So, if some string occurs multiple times, we should consider it the number of times it occurs.
You are given a binary string *s*. Your task is to find the number of its substrings, containing exactly *k* characters "1". | The first line contains the single integer *k* (0<=≤<=*k*<=≤<=106). The second line contains a non-empty binary string *s*. The length of *s* does not exceed 106 characters. | Print the single number — the number of substrings of the given string, containing exactly *k* characters "1".
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier. | [
"1\n1010\n",
"2\n01010\n",
"100\n01010\n"
] | [
"6\n",
"4\n",
"0\n"
] | In the first sample the sought substrings are: "1", "1", "10", "01", "10", "010".
In the second sample the sought substrings are: "101", "0101", "1010", "01010". | 1,500 | [
{
"input": "1\n1010",
"output": "6"
},
{
"input": "2\n01010",
"output": "4"
},
{
"input": "100\n01010",
"output": "0"
},
{
"input": "0\n01010",
"output": "3"
},
{
"input": "0\n0010100011",
"output": "10"
},
{
"input": "0\n10000",
"output": "10"
}... | 1,698,420,703 | 2,147,483,647 | PyPy 3 | OK | TESTS | 82 | 342 | 7,577,600 | k = int(input())
s = input()
c1 = 0
ans = 0
dp = [0] * (len(s)+1)
dp[0] = 1
for i in range(len(s)):
c1 += s[i] == '1'
dp[c1] += 1
for i in range(k, c1+1):
if k == 0: ans += (dp[i]-1)*dp[i]//2
else: ans += (dp[i]*dp[i-k])
print(ans) | Title: Another Problem on Strings
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A string is binary, if it consists only of characters "0" and "1".
String *v* is a substring of string *w* if it has a non-zero length and can be read starting from some position in string *w*. For example, string "010" has six substrings: "0", "1", "0", "01", "10", "010". Two substrings are considered different if their positions of occurrence are different. So, if some string occurs multiple times, we should consider it the number of times it occurs.
You are given a binary string *s*. Your task is to find the number of its substrings, containing exactly *k* characters "1".
Input Specification:
The first line contains the single integer *k* (0<=≤<=*k*<=≤<=106). The second line contains a non-empty binary string *s*. The length of *s* does not exceed 106 characters.
Output Specification:
Print the single number — the number of substrings of the given string, containing exactly *k* characters "1".
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.
Demo Input:
['1\n1010\n', '2\n01010\n', '100\n01010\n']
Demo Output:
['6\n', '4\n', '0\n']
Note:
In the first sample the sought substrings are: "1", "1", "10", "01", "10", "010".
In the second sample the sought substrings are: "101", "0101", "1010", "01010". | ```python
k = int(input())
s = input()
c1 = 0
ans = 0
dp = [0] * (len(s)+1)
dp[0] = 1
for i in range(len(s)):
c1 += s[i] == '1'
dp[c1] += 1
for i in range(k, c1+1):
if k == 0: ans += (dp[i]-1)*dp[i]//2
else: ans += (dp[i]*dp[i-k])
print(ans)
``` | 3 | |
38 | B | Chess | PROGRAMMING | 1,200 | [
"brute force",
"implementation",
"math"
] | B. Chess | 2 | 256 | Two chess pieces, a rook and a knight, stand on a standard chessboard 8<=×<=8 in size. The positions in which they are situated are known. It is guaranteed that none of them beats the other one.
Your task is to find the number of ways to place another knight on the board so that none of the three pieces on the board beat another one. A new piece can only be placed on an empty square. | The first input line contains the description of the rook's position on the board. This description is a line which is 2 in length. Its first symbol is a lower-case Latin letter from a to h, and its second symbol is a number from 1 to 8. The second line contains the description of the knight's position in a similar way. It is guaranteed that their positions do not coincide. | Print a single number which is the required number of ways. | [
"a1\nb2\n",
"a8\nd4\n"
] | [
"44\n",
"38\n"
] | none | 0 | [
{
"input": "a1\nb2",
"output": "44"
},
{
"input": "a8\nd4",
"output": "38"
},
{
"input": "a8\nf1",
"output": "42"
},
{
"input": "f8\nh3",
"output": "42"
},
{
"input": "g8\nb7",
"output": "42"
},
{
"input": "h1\ng5",
"output": "42"
},
{
"inp... | 1,524,481,004 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 3 | 154 | 7,065,600 | def knightFields(i,j):
result, pos =[], [(i+2, j+1), (i+2, j-1), (i-2, j+1), (i-2, j-1), (i+1, j+2), (i-1, j+2), (i+1, j-2), (i-1, j-2)]
for k in range(8):
if pos[k][0] > 0 and pos[k][1] > 0 and pos[k][0] < 8 and pos[k][1] < 8: result.append(pos[k])
#print(result)
return result;
rook,knight,textToInt = input(),input(),{'a':0,'b':1,'c':2,'d':3,'e':4,'f':5,'g':6,'h':7}
rook = (textToInt[rook[0]], int(rook[1])-1)
knight = (textToInt[knight[0]], int(knight[1])-1)
fields = [[True for _ in range(8)] for __ in range(8)]
fields[knight[0]][knight[1]] =False
for i in range(8):
for j in range(8):
if i == rook[0]: fields[i][j] = False
elif j == rook[1]: fields[i][j] = False
for field in knightFields(knight[0],knight[1]):
fields[field[0]][field[1]] = False
for field in knightFields(rook[0],rook[1]):
fields[field[0]][field[1]] = False
count = 0
for field in fields:
#print(field)
for f in field:
if f: count +=1
print(count)
| Title: Chess
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Two chess pieces, a rook and a knight, stand on a standard chessboard 8<=×<=8 in size. The positions in which they are situated are known. It is guaranteed that none of them beats the other one.
Your task is to find the number of ways to place another knight on the board so that none of the three pieces on the board beat another one. A new piece can only be placed on an empty square.
Input Specification:
The first input line contains the description of the rook's position on the board. This description is a line which is 2 in length. Its first symbol is a lower-case Latin letter from a to h, and its second symbol is a number from 1 to 8. The second line contains the description of the knight's position in a similar way. It is guaranteed that their positions do not coincide.
Output Specification:
Print a single number which is the required number of ways.
Demo Input:
['a1\nb2\n', 'a8\nd4\n']
Demo Output:
['44\n', '38\n']
Note:
none | ```python
def knightFields(i,j):
result, pos =[], [(i+2, j+1), (i+2, j-1), (i-2, j+1), (i-2, j-1), (i+1, j+2), (i-1, j+2), (i+1, j-2), (i-1, j-2)]
for k in range(8):
if pos[k][0] > 0 and pos[k][1] > 0 and pos[k][0] < 8 and pos[k][1] < 8: result.append(pos[k])
#print(result)
return result;
rook,knight,textToInt = input(),input(),{'a':0,'b':1,'c':2,'d':3,'e':4,'f':5,'g':6,'h':7}
rook = (textToInt[rook[0]], int(rook[1])-1)
knight = (textToInt[knight[0]], int(knight[1])-1)
fields = [[True for _ in range(8)] for __ in range(8)]
fields[knight[0]][knight[1]] =False
for i in range(8):
for j in range(8):
if i == rook[0]: fields[i][j] = False
elif j == rook[1]: fields[i][j] = False
for field in knightFields(knight[0],knight[1]):
fields[field[0]][field[1]] = False
for field in knightFields(rook[0],rook[1]):
fields[field[0]][field[1]] = False
count = 0
for field in fields:
#print(field)
for f in field:
if f: count +=1
print(count)
``` | 0 |
546 | A | Soldier and Bananas | PROGRAMMING | 800 | [
"brute force",
"implementation",
"math"
] | null | null | A soldier wants to buy *w* bananas in the shop. He has to pay *k* dollars for the first banana, 2*k* dollars for the second one and so on (in other words, he has to pay *i*·*k* dollars for the *i*-th banana).
He has *n* dollars. How many dollars does he have to borrow from his friend soldier to buy *w* bananas? | The first line contains three positive integers *k*,<=*n*,<=*w* (1<=<=≤<=<=*k*,<=*w*<=<=≤<=<=1000, 0<=≤<=*n*<=≤<=109), the cost of the first banana, initial number of dollars the soldier has and number of bananas he wants. | Output one integer — the amount of dollars that the soldier must borrow from his friend. If he doesn't have to borrow money, output 0. | [
"3 17 4\n"
] | [
"13"
] | none | 500 | [
{
"input": "3 17 4",
"output": "13"
},
{
"input": "1 2 1",
"output": "0"
},
{
"input": "1 1 1",
"output": "0"
},
{
"input": "1 5 6",
"output": "16"
},
{
"input": "1 1000000000 1",
"output": "0"
},
{
"input": "1000 0 1000",
"output": "500500000"
}... | 1,694,427,128 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 1 | 31 | 0 | k,n,w=map(int,input().split())
mon=0
for i in range(w):
mon=mon+k*(i+1)
print(mon-n) | Title: Soldier and Bananas
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A soldier wants to buy *w* bananas in the shop. He has to pay *k* dollars for the first banana, 2*k* dollars for the second one and so on (in other words, he has to pay *i*·*k* dollars for the *i*-th banana).
He has *n* dollars. How many dollars does he have to borrow from his friend soldier to buy *w* bananas?
Input Specification:
The first line contains three positive integers *k*,<=*n*,<=*w* (1<=<=≤<=<=*k*,<=*w*<=<=≤<=<=1000, 0<=≤<=*n*<=≤<=109), the cost of the first banana, initial number of dollars the soldier has and number of bananas he wants.
Output Specification:
Output one integer — the amount of dollars that the soldier must borrow from his friend. If he doesn't have to borrow money, output 0.
Demo Input:
['3 17 4\n']
Demo Output:
['13']
Note:
none | ```python
k,n,w=map(int,input().split())
mon=0
for i in range(w):
mon=mon+k*(i+1)
print(mon-n)
``` | 0 | |
441 | B | Valera and Fruits | PROGRAMMING | 1,400 | [
"greedy",
"implementation"
] | null | null | Valera loves his garden, where *n* fruit trees grow.
This year he will enjoy a great harvest! On the *i*-th tree *b**i* fruit grow, they will ripen on a day number *a**i*. Unfortunately, the fruit on the tree get withered, so they can only be collected on day *a**i* and day *a**i*<=+<=1 (all fruits that are not collected in these two days, become unfit to eat).
Valera is not very fast, but there are some positive points. Valera is ready to work every day. In one day, Valera can collect no more than *v* fruits. The fruits may be either from the same tree, or from different ones. What is the maximum amount of fruit Valera can collect for all time, if he operates optimally well? | The first line contains two space-separated integers *n* and *v* (1<=≤<=*n*,<=*v*<=≤<=3000) — the number of fruit trees in the garden and the number of fruits that Valera can collect in a day.
Next *n* lines contain the description of trees in the garden. The *i*-th line contains two space-separated integers *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=3000) — the day the fruits ripen on the *i*-th tree and the number of fruits on the *i*-th tree. | Print a single integer — the maximum number of fruit that Valera can collect. | [
"2 3\n1 5\n2 3\n",
"5 10\n3 20\n2 20\n1 20\n4 20\n5 20\n"
] | [
"8\n",
"60\n"
] | In the first sample, in order to obtain the optimal answer, you should act as follows.
- On the first day collect 3 fruits from the 1-st tree. - On the second day collect 1 fruit from the 2-nd tree and 2 fruits from the 1-st tree. - On the third day collect the remaining fruits from the 2-nd tree.
In the second sample, you can only collect 60 fruits, the remaining fruit will simply wither. | 1,000 | [
{
"input": "2 3\n1 5\n2 3",
"output": "8"
},
{
"input": "5 10\n3 20\n2 20\n1 20\n4 20\n5 20",
"output": "60"
},
{
"input": "10 3000\n1 2522\n4 445\n8 1629\n5 772\n9 2497\n6 81\n3 426\n7 1447\n2 575\n10 202",
"output": "10596"
},
{
"input": "5 3000\n5 772\n1 2522\n2 575\n4 445... | 1,523,363,186 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 4 | 78 | 7,270,400 | n, v = map(int, input().split())
trees = []
for i in range(n):
trees.append(list(map(int, input().split())))
trees.sort()
d = 1
l = 0
a = 0
c = 0
while d <= trees[len(trees) -1][0] + 1 and c < n:
while l < v and c < n:
if trees[c][0] > d: break
while trees[c][0] < (d - 1) and c < (n - 1):
c += 1
if trees[c][1] <= (v - l):
l += trees[c][1]
trees[c][1] = 0
c+= 1
else:
trees[c][1] -= (v-l)
l = v
a += l
d +=1
l = 0
print(a) | Title: Valera and Fruits
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Valera loves his garden, where *n* fruit trees grow.
This year he will enjoy a great harvest! On the *i*-th tree *b**i* fruit grow, they will ripen on a day number *a**i*. Unfortunately, the fruit on the tree get withered, so they can only be collected on day *a**i* and day *a**i*<=+<=1 (all fruits that are not collected in these two days, become unfit to eat).
Valera is not very fast, but there are some positive points. Valera is ready to work every day. In one day, Valera can collect no more than *v* fruits. The fruits may be either from the same tree, or from different ones. What is the maximum amount of fruit Valera can collect for all time, if he operates optimally well?
Input Specification:
The first line contains two space-separated integers *n* and *v* (1<=≤<=*n*,<=*v*<=≤<=3000) — the number of fruit trees in the garden and the number of fruits that Valera can collect in a day.
Next *n* lines contain the description of trees in the garden. The *i*-th line contains two space-separated integers *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=3000) — the day the fruits ripen on the *i*-th tree and the number of fruits on the *i*-th tree.
Output Specification:
Print a single integer — the maximum number of fruit that Valera can collect.
Demo Input:
['2 3\n1 5\n2 3\n', '5 10\n3 20\n2 20\n1 20\n4 20\n5 20\n']
Demo Output:
['8\n', '60\n']
Note:
In the first sample, in order to obtain the optimal answer, you should act as follows.
- On the first day collect 3 fruits from the 1-st tree. - On the second day collect 1 fruit from the 2-nd tree and 2 fruits from the 1-st tree. - On the third day collect the remaining fruits from the 2-nd tree.
In the second sample, you can only collect 60 fruits, the remaining fruit will simply wither. | ```python
n, v = map(int, input().split())
trees = []
for i in range(n):
trees.append(list(map(int, input().split())))
trees.sort()
d = 1
l = 0
a = 0
c = 0
while d <= trees[len(trees) -1][0] + 1 and c < n:
while l < v and c < n:
if trees[c][0] > d: break
while trees[c][0] < (d - 1) and c < (n - 1):
c += 1
if trees[c][1] <= (v - l):
l += trees[c][1]
trees[c][1] = 0
c+= 1
else:
trees[c][1] -= (v-l)
l = v
a += l
d +=1
l = 0
print(a)
``` | 0 | |
1 | A | Theatre Square | PROGRAMMING | 1,000 | [
"math"
] | A. Theatre Square | 1 | 256 | Theatre Square in the capital city of Berland has a rectangular shape with the size *n*<=×<=*m* meters. On the occasion of the city's anniversary, a decision was taken to pave the Square with square granite flagstones. Each flagstone is of the size *a*<=×<=*a*.
What is the least number of flagstones needed to pave the Square? It's allowed to cover the surface larger than the Theatre Square, but the Square has to be covered. It's not allowed to break the flagstones. The sides of flagstones should be parallel to the sides of the Square. | The input contains three positive integer numbers in the first line: *n*,<=<=*m* and *a* (1<=≤<=<=*n*,<=*m*,<=*a*<=≤<=109). | Write the needed number of flagstones. | [
"6 6 4\n"
] | [
"4\n"
] | none | 0 | [
{
"input": "6 6 4",
"output": "4"
},
{
"input": "1 1 1",
"output": "1"
},
{
"input": "2 1 1",
"output": "2"
},
{
"input": "1 2 1",
"output": "2"
},
{
"input": "2 2 1",
"output": "4"
},
{
"input": "2 1 2",
"output": "1"
},
{
"input": "1 1 3"... | 1,693,846,528 | 2,147,483,647 | Python 3 | OK | TESTS | 20 | 46 | 0 | n, m, a = map(int, input().split())
# Calculate the number of flagstones required for the width
width_flagstones = (n + a - 1) // a
# Calculate the number of flagstones required for the length
length_flagstones = (m + a - 1) // a
# Multiply to get the total number of flagstones needed
total_flagstones = width_flagstones * length_flagstones
print(total_flagstones)
| Title: Theatre Square
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Theatre Square in the capital city of Berland has a rectangular shape with the size *n*<=×<=*m* meters. On the occasion of the city's anniversary, a decision was taken to pave the Square with square granite flagstones. Each flagstone is of the size *a*<=×<=*a*.
What is the least number of flagstones needed to pave the Square? It's allowed to cover the surface larger than the Theatre Square, but the Square has to be covered. It's not allowed to break the flagstones. The sides of flagstones should be parallel to the sides of the Square.
Input Specification:
The input contains three positive integer numbers in the first line: *n*,<=<=*m* and *a* (1<=≤<=<=*n*,<=*m*,<=*a*<=≤<=109).
Output Specification:
Write the needed number of flagstones.
Demo Input:
['6 6 4\n']
Demo Output:
['4\n']
Note:
none | ```python
n, m, a = map(int, input().split())
# Calculate the number of flagstones required for the width
width_flagstones = (n + a - 1) // a
# Calculate the number of flagstones required for the length
length_flagstones = (m + a - 1) // a
# Multiply to get the total number of flagstones needed
total_flagstones = width_flagstones * length_flagstones
print(total_flagstones)
``` | 3.977 |
990 | A | Commentary Boxes | PROGRAMMING | 1,000 | [
"implementation",
"math"
] | null | null | Berland Football Cup starts really soon! Commentators from all over the world come to the event.
Organizers have already built $n$ commentary boxes. $m$ regional delegations will come to the Cup. Every delegation should get the same number of the commentary boxes. If any box is left unoccupied then the delegations will be upset. So each box should be occupied by exactly one delegation.
If $n$ is not divisible by $m$, it is impossible to distribute the boxes to the delegations at the moment.
Organizers can build a new commentary box paying $a$ burles and demolish a commentary box paying $b$ burles. They can both build and demolish boxes arbitrary number of times (each time paying a corresponding fee). It is allowed to demolish all the existing boxes.
What is the minimal amount of burles organizers should pay to satisfy all the delegations (i.e. to make the number of the boxes be divisible by $m$)? | The only line contains four integer numbers $n$, $m$, $a$ and $b$ ($1 \le n, m \le 10^{12}$, $1 \le a, b \le 100$), where $n$ is the initial number of the commentary boxes, $m$ is the number of delegations to come, $a$ is the fee to build a box and $b$ is the fee to demolish a box. | Output the minimal amount of burles organizers should pay to satisfy all the delegations (i.e. to make the number of the boxes be divisible by $m$). It is allowed that the final number of the boxes is equal to $0$. | [
"9 7 3 8\n",
"2 7 3 7\n",
"30 6 17 19\n"
] | [
"15\n",
"14\n",
"0\n"
] | In the first example organizers can build $5$ boxes to make the total of $14$ paying $3$ burles for the each of them.
In the second example organizers can demolish $2$ boxes to make the total of $0$ paying $7$ burles for the each of them.
In the third example organizers are already able to distribute all the boxes equally among the delegations, each one get $5$ boxes. | 0 | [
{
"input": "9 7 3 8",
"output": "15"
},
{
"input": "2 7 3 7",
"output": "14"
},
{
"input": "30 6 17 19",
"output": "0"
},
{
"input": "500000000001 1000000000000 100 100",
"output": "49999999999900"
},
{
"input": "1000000000000 750000000001 10 100",
"output": "... | 1,586,505,984 | 2,147,483,647 | PyPy 3 | OK | TESTS | 109 | 171 | 0 | n,m,a,b=list(map(int,input().split()))
if n%m==0:
print(0)
else:
d = (n%m)*b
e = (((n//m)+1)*m-n)*a
f = n*b
print(min(d,f,e))
| Title: Commentary Boxes
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Berland Football Cup starts really soon! Commentators from all over the world come to the event.
Organizers have already built $n$ commentary boxes. $m$ regional delegations will come to the Cup. Every delegation should get the same number of the commentary boxes. If any box is left unoccupied then the delegations will be upset. So each box should be occupied by exactly one delegation.
If $n$ is not divisible by $m$, it is impossible to distribute the boxes to the delegations at the moment.
Organizers can build a new commentary box paying $a$ burles and demolish a commentary box paying $b$ burles. They can both build and demolish boxes arbitrary number of times (each time paying a corresponding fee). It is allowed to demolish all the existing boxes.
What is the minimal amount of burles organizers should pay to satisfy all the delegations (i.e. to make the number of the boxes be divisible by $m$)?
Input Specification:
The only line contains four integer numbers $n$, $m$, $a$ and $b$ ($1 \le n, m \le 10^{12}$, $1 \le a, b \le 100$), where $n$ is the initial number of the commentary boxes, $m$ is the number of delegations to come, $a$ is the fee to build a box and $b$ is the fee to demolish a box.
Output Specification:
Output the minimal amount of burles organizers should pay to satisfy all the delegations (i.e. to make the number of the boxes be divisible by $m$). It is allowed that the final number of the boxes is equal to $0$.
Demo Input:
['9 7 3 8\n', '2 7 3 7\n', '30 6 17 19\n']
Demo Output:
['15\n', '14\n', '0\n']
Note:
In the first example organizers can build $5$ boxes to make the total of $14$ paying $3$ burles for the each of them.
In the second example organizers can demolish $2$ boxes to make the total of $0$ paying $7$ burles for the each of them.
In the third example organizers are already able to distribute all the boxes equally among the delegations, each one get $5$ boxes. | ```python
n,m,a,b=list(map(int,input().split()))
if n%m==0:
print(0)
else:
d = (n%m)*b
e = (((n//m)+1)*m-n)*a
f = n*b
print(min(d,f,e))
``` | 3 | |
381 | A | Sereja and Dima | PROGRAMMING | 800 | [
"greedy",
"implementation",
"two pointers"
] | null | null | Sereja and Dima play a game. The rules of the game are very simple. The players have *n* cards in a row. Each card contains a number, all numbers on the cards are distinct. The players take turns, Sereja moves first. During his turn a player can take one card: either the leftmost card in a row, or the rightmost one. The game ends when there is no more cards. The player who has the maximum sum of numbers on his cards by the end of the game, wins.
Sereja and Dima are being greedy. Each of them chooses the card with the larger number during his move.
Inna is a friend of Sereja and Dima. She knows which strategy the guys are using, so she wants to determine the final score, given the initial state of the game. Help her. | The first line contains integer *n* (1<=≤<=*n*<=≤<=1000) — the number of cards on the table. The second line contains space-separated numbers on the cards from left to right. The numbers on the cards are distinct integers from 1 to 1000. | On a single line, print two integers. The first number is the number of Sereja's points at the end of the game, the second number is the number of Dima's points at the end of the game. | [
"4\n4 1 2 10\n",
"7\n1 2 3 4 5 6 7\n"
] | [
"12 5\n",
"16 12\n"
] | In the first sample Sereja will take cards with numbers 10 and 2, so Sereja's sum is 12. Dima will take cards with numbers 4 and 1, so Dima's sum is 5. | 500 | [
{
"input": "4\n4 1 2 10",
"output": "12 5"
},
{
"input": "7\n1 2 3 4 5 6 7",
"output": "16 12"
},
{
"input": "42\n15 29 37 22 16 5 26 31 6 32 19 3 45 36 33 14 25 20 48 7 42 11 24 28 9 18 8 21 47 17 38 40 44 4 35 1 43 39 41 27 12 13",
"output": "613 418"
},
{
"input": "43\n32 ... | 1,674,240,207 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 31 | 0 | n=int(input())
a=list(map(int,input().split()))
a=sorted(a)[::-1]
sum1=0
sum2=0
for i in range(len(a)):
if((i+1)%2!=0):
sum1+=a[i]
else:
sum2+=a[i]
print(sum1,end=" ")
print(sum2) | Title: Sereja and Dima
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Sereja and Dima play a game. The rules of the game are very simple. The players have *n* cards in a row. Each card contains a number, all numbers on the cards are distinct. The players take turns, Sereja moves first. During his turn a player can take one card: either the leftmost card in a row, or the rightmost one. The game ends when there is no more cards. The player who has the maximum sum of numbers on his cards by the end of the game, wins.
Sereja and Dima are being greedy. Each of them chooses the card with the larger number during his move.
Inna is a friend of Sereja and Dima. She knows which strategy the guys are using, so she wants to determine the final score, given the initial state of the game. Help her.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=1000) — the number of cards on the table. The second line contains space-separated numbers on the cards from left to right. The numbers on the cards are distinct integers from 1 to 1000.
Output Specification:
On a single line, print two integers. The first number is the number of Sereja's points at the end of the game, the second number is the number of Dima's points at the end of the game.
Demo Input:
['4\n4 1 2 10\n', '7\n1 2 3 4 5 6 7\n']
Demo Output:
['12 5\n', '16 12\n']
Note:
In the first sample Sereja will take cards with numbers 10 and 2, so Sereja's sum is 12. Dima will take cards with numbers 4 and 1, so Dima's sum is 5. | ```python
n=int(input())
a=list(map(int,input().split()))
a=sorted(a)[::-1]
sum1=0
sum2=0
for i in range(len(a)):
if((i+1)%2!=0):
sum1+=a[i]
else:
sum2+=a[i]
print(sum1,end=" ")
print(sum2)
``` | 0 | |
847 | G | University Classes | PROGRAMMING | 900 | [
"implementation"
] | null | null | There are *n* student groups at the university. During the study day, each group can take no more than 7 classes. Seven time slots numbered from 1 to 7 are allocated for the classes.
The schedule on Monday is known for each group, i. e. time slots when group will have classes are known.
Your task is to determine the minimum number of rooms needed to hold classes for all groups on Monday. Note that one room can hold at most one group class in a single time slot. | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of groups.
Each of the following *n* lines contains a sequence consisting of 7 zeroes and ones — the schedule of classes on Monday for a group. If the symbol in a position equals to 1 then the group has class in the corresponding time slot. In the other case, the group has no class in the corresponding time slot. | Print minimum number of rooms needed to hold all groups classes on Monday. | [
"2\n0101010\n1010101\n",
"3\n0101011\n0011001\n0110111\n"
] | [
"1\n",
"3\n"
] | In the first example one room is enough. It will be occupied in each of the seven time slot by the first group or by the second group.
In the second example three rooms is enough, because in the seventh time slot all three groups have classes. | 0 | [
{
"input": "2\n0101010\n1010101",
"output": "1"
},
{
"input": "3\n0101011\n0011001\n0110111",
"output": "3"
},
{
"input": "1\n0111000",
"output": "1"
},
{
"input": "1\n0000000",
"output": "0"
},
{
"input": "1\n1111111",
"output": "1"
},
{
"input": "2\n... | 1,593,658,516 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 93 | 0 | l = []
for _ in range(int(input())):
a = str(input())
for i in range(7):
if a[i]=='1':
l[i]+=1
mx = max(l)
if len(l)==l.count(mx):
print(1)
else:
print(mx)
| Title: University Classes
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There are *n* student groups at the university. During the study day, each group can take no more than 7 classes. Seven time slots numbered from 1 to 7 are allocated for the classes.
The schedule on Monday is known for each group, i. e. time slots when group will have classes are known.
Your task is to determine the minimum number of rooms needed to hold classes for all groups on Monday. Note that one room can hold at most one group class in a single time slot.
Input Specification:
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of groups.
Each of the following *n* lines contains a sequence consisting of 7 zeroes and ones — the schedule of classes on Monday for a group. If the symbol in a position equals to 1 then the group has class in the corresponding time slot. In the other case, the group has no class in the corresponding time slot.
Output Specification:
Print minimum number of rooms needed to hold all groups classes on Monday.
Demo Input:
['2\n0101010\n1010101\n', '3\n0101011\n0011001\n0110111\n']
Demo Output:
['1\n', '3\n']
Note:
In the first example one room is enough. It will be occupied in each of the seven time slot by the first group or by the second group.
In the second example three rooms is enough, because in the seventh time slot all three groups have classes. | ```python
l = []
for _ in range(int(input())):
a = str(input())
for i in range(7):
if a[i]=='1':
l[i]+=1
mx = max(l)
if len(l)==l.count(mx):
print(1)
else:
print(mx)
``` | -1 | |
651 | A | Joysticks | PROGRAMMING | 1,100 | [
"dp",
"greedy",
"implementation",
"math"
] | null | null | Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at *a*1 percent and second one is charged at *a*2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).
Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.
Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent. | The first line of the input contains two positive integers *a*1 and *a*2 (1<=≤<=*a*1,<=*a*2<=≤<=100), the initial charge level of first and second joystick respectively. | Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged. | [
"3 5\n",
"4 4\n"
] | [
"6\n",
"5\n"
] | In the first sample game lasts for 6 minute by using the following algorithm:
- at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%; - continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%; - at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%; - continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%; - at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%; - at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.
After that the first joystick is completely discharged and the game is stopped. | 500 | [
{
"input": "3 5",
"output": "6"
},
{
"input": "4 4",
"output": "5"
},
{
"input": "100 100",
"output": "197"
},
{
"input": "1 100",
"output": "98"
},
{
"input": "100 1",
"output": "98"
},
{
"input": "1 4",
"output": "2"
},
{
"input": "1 1",
... | 1,596,272,971 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 6 | 93 | 6,963,200 | a, b = [int(x) for x in input().split()]
d = {}
def f(a, b):
if a == 0 or b == 0:
return 0
if b < a:
b, a, = a, b
if (a, b) in d:
return d[a, b]
if a == b:
d[a, b] = 2*a-3
else:
d[a, b] = 1 + f(a+1, b-2)
return d[a, b]
print(f(a, b)) | Title: Joysticks
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at *a*1 percent and second one is charged at *a*2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).
Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.
Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent.
Input Specification:
The first line of the input contains two positive integers *a*1 and *a*2 (1<=≤<=*a*1,<=*a*2<=≤<=100), the initial charge level of first and second joystick respectively.
Output Specification:
Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged.
Demo Input:
['3 5\n', '4 4\n']
Demo Output:
['6\n', '5\n']
Note:
In the first sample game lasts for 6 minute by using the following algorithm:
- at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%; - continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%; - at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%; - continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%; - at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%; - at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.
After that the first joystick is completely discharged and the game is stopped. | ```python
a, b = [int(x) for x in input().split()]
d = {}
def f(a, b):
if a == 0 or b == 0:
return 0
if b < a:
b, a, = a, b
if (a, b) in d:
return d[a, b]
if a == b:
d[a, b] = 2*a-3
else:
d[a, b] = 1 + f(a+1, b-2)
return d[a, b]
print(f(a, b))
``` | 0 | |
148 | A | Insomnia cure | PROGRAMMING | 800 | [
"constructive algorithms",
"implementation",
"math"
] | null | null | «One dragon. Two dragon. Three dragon», — the princess was counting. She had trouble falling asleep, and she got bored of counting lambs when she was nine.
However, just counting dragons was boring as well, so she entertained herself at best she could. Tonight she imagined that all dragons were here to steal her, and she was fighting them off. Every *k*-th dragon got punched in the face with a frying pan. Every *l*-th dragon got his tail shut into the balcony door. Every *m*-th dragon got his paws trampled with sharp heels. Finally, she threatened every *n*-th dragon to call her mom, and he withdrew in panic.
How many imaginary dragons suffered moral or physical damage tonight, if the princess counted a total of *d* dragons? | Input data contains integer numbers *k*,<=*l*,<=*m*,<=*n* and *d*, each number in a separate line (1<=≤<=*k*,<=*l*,<=*m*,<=*n*<=≤<=10, 1<=≤<=*d*<=≤<=105). | Output the number of damaged dragons. | [
"1\n2\n3\n4\n12\n",
"2\n3\n4\n5\n24\n"
] | [
"12\n",
"17\n"
] | In the first case every first dragon got punched with a frying pan. Some of the dragons suffered from other reasons as well, but the pan alone would be enough.
In the second case dragons 1, 7, 11, 13, 17, 19 and 23 escaped unharmed. | 1,000 | [
{
"input": "1\n2\n3\n4\n12",
"output": "12"
},
{
"input": "2\n3\n4\n5\n24",
"output": "17"
},
{
"input": "1\n1\n1\n1\n100000",
"output": "100000"
},
{
"input": "10\n9\n8\n7\n6",
"output": "0"
},
{
"input": "8\n4\n4\n3\n65437",
"output": "32718"
},
{
"i... | 1,699,339,896 | 2,147,483,647 | Python 3 | OK | TESTS | 40 | 92 | 0 | k = int(input())
l = int(input())
m = int(input())
n = int(input())
d = int(input())
e = 0
for poor in range(1, d + 1):
if poor % k == 0 or poor % l == 0 or poor % m == 0 or poor % n == 0:
e += 1
print(e)
| Title: Insomnia cure
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
«One dragon. Two dragon. Three dragon», — the princess was counting. She had trouble falling asleep, and she got bored of counting lambs when she was nine.
However, just counting dragons was boring as well, so she entertained herself at best she could. Tonight she imagined that all dragons were here to steal her, and she was fighting them off. Every *k*-th dragon got punched in the face with a frying pan. Every *l*-th dragon got his tail shut into the balcony door. Every *m*-th dragon got his paws trampled with sharp heels. Finally, she threatened every *n*-th dragon to call her mom, and he withdrew in panic.
How many imaginary dragons suffered moral or physical damage tonight, if the princess counted a total of *d* dragons?
Input Specification:
Input data contains integer numbers *k*,<=*l*,<=*m*,<=*n* and *d*, each number in a separate line (1<=≤<=*k*,<=*l*,<=*m*,<=*n*<=≤<=10, 1<=≤<=*d*<=≤<=105).
Output Specification:
Output the number of damaged dragons.
Demo Input:
['1\n2\n3\n4\n12\n', '2\n3\n4\n5\n24\n']
Demo Output:
['12\n', '17\n']
Note:
In the first case every first dragon got punched with a frying pan. Some of the dragons suffered from other reasons as well, but the pan alone would be enough.
In the second case dragons 1, 7, 11, 13, 17, 19 and 23 escaped unharmed. | ```python
k = int(input())
l = int(input())
m = int(input())
n = int(input())
d = int(input())
e = 0
for poor in range(1, d + 1):
if poor % k == 0 or poor % l == 0 or poor % m == 0 or poor % n == 0:
e += 1
print(e)
``` | 3 | |
447 | A | DZY Loves Hash | PROGRAMMING | 800 | [
"implementation"
] | null | null | DZY has a hash table with *p* buckets, numbered from 0 to *p*<=-<=1. He wants to insert *n* numbers, in the order they are given, into the hash table. For the *i*-th number *x**i*, DZY will put it into the bucket numbered *h*(*x**i*), where *h*(*x*) is the hash function. In this problem we will assume, that *h*(*x*)<==<=*x* *mod* *p*. Operation *a* *mod* *b* denotes taking a remainder after division *a* by *b*.
However, each bucket can contain no more than one element. If DZY wants to insert an number into a bucket which is already filled, we say a "conflict" happens. Suppose the first conflict happens right after the *i*-th insertion, you should output *i*. If no conflict happens, just output -1. | The first line contains two integers, *p* and *n* (2<=≤<=*p*,<=*n*<=≤<=300). Then *n* lines follow. The *i*-th of them contains an integer *x**i* (0<=≤<=*x**i*<=≤<=109). | Output a single integer — the answer to the problem. | [
"10 5\n0\n21\n53\n41\n53\n",
"5 5\n0\n1\n2\n3\n4\n"
] | [
"4\n",
"-1\n"
] | none | 500 | [
{
"input": "10 5\n0\n21\n53\n41\n53",
"output": "4"
},
{
"input": "5 5\n0\n1\n2\n3\n4",
"output": "-1"
},
{
"input": "10 6\n811966798\n734823552\n790326404\n929189974\n414343256\n560346537",
"output": "4"
},
{
"input": "2 2\n788371161\n801743052",
"output": "-1"
},
{
... | 1,578,653,309 | 2,147,483,647 | Python 3 | OK | TESTS | 29 | 124 | 0 | p, n = map(int, input().split())
h = set()
for i in range(n):
x = int(input()) % p
if x in h:
print(i+1)
break
h.add(x)
else:
print(-1) | Title: DZY Loves Hash
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
DZY has a hash table with *p* buckets, numbered from 0 to *p*<=-<=1. He wants to insert *n* numbers, in the order they are given, into the hash table. For the *i*-th number *x**i*, DZY will put it into the bucket numbered *h*(*x**i*), where *h*(*x*) is the hash function. In this problem we will assume, that *h*(*x*)<==<=*x* *mod* *p*. Operation *a* *mod* *b* denotes taking a remainder after division *a* by *b*.
However, each bucket can contain no more than one element. If DZY wants to insert an number into a bucket which is already filled, we say a "conflict" happens. Suppose the first conflict happens right after the *i*-th insertion, you should output *i*. If no conflict happens, just output -1.
Input Specification:
The first line contains two integers, *p* and *n* (2<=≤<=*p*,<=*n*<=≤<=300). Then *n* lines follow. The *i*-th of them contains an integer *x**i* (0<=≤<=*x**i*<=≤<=109).
Output Specification:
Output a single integer — the answer to the problem.
Demo Input:
['10 5\n0\n21\n53\n41\n53\n', '5 5\n0\n1\n2\n3\n4\n']
Demo Output:
['4\n', '-1\n']
Note:
none | ```python
p, n = map(int, input().split())
h = set()
for i in range(n):
x = int(input()) % p
if x in h:
print(i+1)
break
h.add(x)
else:
print(-1)
``` | 3 | |
962 | A | Equator | PROGRAMMING | 1,300 | [
"implementation"
] | null | null | Polycarp has created his own training plan to prepare for the programming contests. He will train for $n$ days, all days are numbered from $1$ to $n$, beginning from the first.
On the $i$-th day Polycarp will necessarily solve $a_i$ problems. One evening Polycarp plans to celebrate the equator. He will celebrate it on the first evening of such a day that from the beginning of the training and to this day inclusive he will solve half or more of all the problems.
Determine the index of day when Polycarp will celebrate the equator. | The first line contains a single integer $n$ ($1 \le n \le 200\,000$) — the number of days to prepare for the programming contests.
The second line contains a sequence $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10\,000$), where $a_i$ equals to the number of problems, which Polycarp will solve on the $i$-th day. | Print the index of the day when Polycarp will celebrate the equator. | [
"4\n1 3 2 1\n",
"6\n2 2 2 2 2 2\n"
] | [
"2\n",
"3\n"
] | In the first example Polycarp will celebrate the equator on the evening of the second day, because up to this day (inclusive) he will solve $4$ out of $7$ scheduled problems on four days of the training.
In the second example Polycarp will celebrate the equator on the evening of the third day, because up to this day (inclusive) he will solve $6$ out of $12$ scheduled problems on six days of the training. | 0 | [
{
"input": "4\n1 3 2 1",
"output": "2"
},
{
"input": "6\n2 2 2 2 2 2",
"output": "3"
},
{
"input": "1\n10000",
"output": "1"
},
{
"input": "3\n2 1 1",
"output": "1"
},
{
"input": "2\n1 3",
"output": "2"
},
{
"input": "4\n2 1 1 3",
"output": "3"
}... | 1,541,440,627 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 93 | 0 | import bisect
import math
x=int(input())
listik=[]
summa=0
for i in input().split():
summa+=int(i)
listik.append(summa)
summa=math.ceil(summa/2)
indexik=bisect.bisect(listik,summa)
if listik[indexik-1]<summa:
print(indexik+1)
else:
print(indexik) | Title: Equator
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Polycarp has created his own training plan to prepare for the programming contests. He will train for $n$ days, all days are numbered from $1$ to $n$, beginning from the first.
On the $i$-th day Polycarp will necessarily solve $a_i$ problems. One evening Polycarp plans to celebrate the equator. He will celebrate it on the first evening of such a day that from the beginning of the training and to this day inclusive he will solve half or more of all the problems.
Determine the index of day when Polycarp will celebrate the equator.
Input Specification:
The first line contains a single integer $n$ ($1 \le n \le 200\,000$) — the number of days to prepare for the programming contests.
The second line contains a sequence $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10\,000$), where $a_i$ equals to the number of problems, which Polycarp will solve on the $i$-th day.
Output Specification:
Print the index of the day when Polycarp will celebrate the equator.
Demo Input:
['4\n1 3 2 1\n', '6\n2 2 2 2 2 2\n']
Demo Output:
['2\n', '3\n']
Note:
In the first example Polycarp will celebrate the equator on the evening of the second day, because up to this day (inclusive) he will solve $4$ out of $7$ scheduled problems on four days of the training.
In the second example Polycarp will celebrate the equator on the evening of the third day, because up to this day (inclusive) he will solve $6$ out of $12$ scheduled problems on six days of the training. | ```python
import bisect
import math
x=int(input())
listik=[]
summa=0
for i in input().split():
summa+=int(i)
listik.append(summa)
summa=math.ceil(summa/2)
indexik=bisect.bisect(listik,summa)
if listik[indexik-1]<summa:
print(indexik+1)
else:
print(indexik)
``` | 0 | |
302 | B | Eugeny and Play List | PROGRAMMING | 1,200 | [
"binary search",
"implementation",
"two pointers"
] | null | null | Eugeny loves listening to music. He has *n* songs in his play list. We know that song number *i* has the duration of *t**i* minutes. Eugeny listens to each song, perhaps more than once. He listens to song number *i* *c**i* times. Eugeny's play list is organized as follows: first song number 1 plays *c*1 times, then song number 2 plays *c*2 times, ..., in the end the song number *n* plays *c**n* times.
Eugeny took a piece of paper and wrote out *m* moments of time when he liked a song. Now for each such moment he wants to know the number of the song that played at that moment. The moment *x* means that Eugeny wants to know which song was playing during the *x*-th minute of his listening to the play list.
Help Eugeny and calculate the required numbers of songs. | The first line contains two integers *n*, *m* (1<=≤<=*n*,<=*m*<=≤<=105). The next *n* lines contain pairs of integers. The *i*-th line contains integers *c**i*,<=*t**i* (1<=≤<=*c**i*,<=*t**i*<=≤<=109) — the description of the play list. It is guaranteed that the play list's total duration doesn't exceed 109 .
The next line contains *m* positive integers *v*1,<=*v*2,<=...,<=*v**m*, that describe the moments Eugeny has written out. It is guaranteed that there isn't such moment of time *v**i*, when the music doesn't play any longer. It is guaranteed that *v**i*<=<<=*v**i*<=+<=1 (*i*<=<<=*m*).
The moment of time *v**i* means that Eugeny wants to know which song was playing during the *v**i*-th munite from the start of listening to the playlist. | Print *m* integers — the *i*-th number must equal the number of the song that was playing during the *v**i*-th minute after Eugeny started listening to the play list. | [
"1 2\n2 8\n1 16\n",
"4 9\n1 2\n2 1\n1 1\n2 2\n1 2 3 4 5 6 7 8 9\n"
] | [
"1\n1\n",
"1\n1\n2\n2\n3\n4\n4\n4\n4\n"
] | none | 1,000 | [
{
"input": "1 2\n2 8\n1 16",
"output": "1\n1"
},
{
"input": "4 9\n1 2\n2 1\n1 1\n2 2\n1 2 3 4 5 6 7 8 9",
"output": "1\n1\n2\n2\n3\n4\n4\n4\n4"
},
{
"input": "3 3\n2 8\n5 1\n10 5\n13 16 62",
"output": "1\n1\n3"
},
{
"input": "4 4\n2 8\n2 2\n6 3\n8 7\n13 23 29 85",
"output... | 1,602,239,434 | 2,147,483,647 | PyPy 3 | OK | TESTS | 54 | 1,996 | 14,131,200 | import bisect
from itertools import accumulate
n, m = map(int, input().split())
ans = []
for i in range(n):
c, t = map(int, input().split())
ans.append(c*t)
p = []
p = list(accumulate(ans))
m = list(map(int, input().split()))
for i in range(0, len(m)):
print(bisect.bisect_left(p, m[i])+1)
| Title: Eugeny and Play List
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Eugeny loves listening to music. He has *n* songs in his play list. We know that song number *i* has the duration of *t**i* minutes. Eugeny listens to each song, perhaps more than once. He listens to song number *i* *c**i* times. Eugeny's play list is organized as follows: first song number 1 plays *c*1 times, then song number 2 plays *c*2 times, ..., in the end the song number *n* plays *c**n* times.
Eugeny took a piece of paper and wrote out *m* moments of time when he liked a song. Now for each such moment he wants to know the number of the song that played at that moment. The moment *x* means that Eugeny wants to know which song was playing during the *x*-th minute of his listening to the play list.
Help Eugeny and calculate the required numbers of songs.
Input Specification:
The first line contains two integers *n*, *m* (1<=≤<=*n*,<=*m*<=≤<=105). The next *n* lines contain pairs of integers. The *i*-th line contains integers *c**i*,<=*t**i* (1<=≤<=*c**i*,<=*t**i*<=≤<=109) — the description of the play list. It is guaranteed that the play list's total duration doesn't exceed 109 .
The next line contains *m* positive integers *v*1,<=*v*2,<=...,<=*v**m*, that describe the moments Eugeny has written out. It is guaranteed that there isn't such moment of time *v**i*, when the music doesn't play any longer. It is guaranteed that *v**i*<=<<=*v**i*<=+<=1 (*i*<=<<=*m*).
The moment of time *v**i* means that Eugeny wants to know which song was playing during the *v**i*-th munite from the start of listening to the playlist.
Output Specification:
Print *m* integers — the *i*-th number must equal the number of the song that was playing during the *v**i*-th minute after Eugeny started listening to the play list.
Demo Input:
['1 2\n2 8\n1 16\n', '4 9\n1 2\n2 1\n1 1\n2 2\n1 2 3 4 5 6 7 8 9\n']
Demo Output:
['1\n1\n', '1\n1\n2\n2\n3\n4\n4\n4\n4\n']
Note:
none | ```python
import bisect
from itertools import accumulate
n, m = map(int, input().split())
ans = []
for i in range(n):
c, t = map(int, input().split())
ans.append(c*t)
p = []
p = list(accumulate(ans))
m = list(map(int, input().split()))
for i in range(0, len(m)):
print(bisect.bisect_left(p, m[i])+1)
``` | 3 | |
698 | A | Vacations | PROGRAMMING | 1,400 | [
"dp"
] | null | null | Vasya has *n* days of vacations! So he decided to improve his IT skills and do sport. Vasya knows the following information about each of this *n* days: whether that gym opened and whether a contest was carried out in the Internet on that day. For the *i*-th day there are four options:
1. on this day the gym is closed and the contest is not carried out; 1. on this day the gym is closed and the contest is carried out; 1. on this day the gym is open and the contest is not carried out; 1. on this day the gym is open and the contest is carried out.
On each of days Vasya can either have a rest or write the contest (if it is carried out on this day), or do sport (if the gym is open on this day).
Find the minimum number of days on which Vasya will have a rest (it means, he will not do sport and write the contest at the same time). The only limitation that Vasya has — he does not want to do the same activity on two consecutive days: it means, he will not do sport on two consecutive days, and write the contest on two consecutive days. | The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=100) — the number of days of Vasya's vacations.
The second line contains the sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=3) separated by space, where:
- *a**i* equals 0, if on the *i*-th day of vacations the gym is closed and the contest is not carried out; - *a**i* equals 1, if on the *i*-th day of vacations the gym is closed, but the contest is carried out; - *a**i* equals 2, if on the *i*-th day of vacations the gym is open and the contest is not carried out; - *a**i* equals 3, if on the *i*-th day of vacations the gym is open and the contest is carried out. | Print the minimum possible number of days on which Vasya will have a rest. Remember that Vasya refuses:
- to do sport on any two consecutive days, - to write the contest on any two consecutive days. | [
"4\n1 3 2 0\n",
"7\n1 3 3 2 1 2 3\n",
"2\n2 2\n"
] | [
"2\n",
"0\n",
"1\n"
] | In the first test Vasya can write the contest on the day number 1 and do sport on the day number 3. Thus, he will have a rest for only 2 days.
In the second test Vasya should write contests on days number 1, 3, 5 and 7, in other days do sport. Thus, he will not have a rest for a single day.
In the third test Vasya can do sport either on a day number 1 or number 2. He can not do sport in two days, because it will be contrary to the his limitation. Thus, he will have a rest for only one day. | 500 | [
{
"input": "4\n1 3 2 0",
"output": "2"
},
{
"input": "7\n1 3 3 2 1 2 3",
"output": "0"
},
{
"input": "2\n2 2",
"output": "1"
},
{
"input": "1\n0",
"output": "1"
},
{
"input": "10\n0 0 1 1 0 0 0 0 1 0",
"output": "8"
},
{
"input": "100\n3 2 3 3 3 2 3 1 ... | 1,590,053,390 | 2,147,483,647 | PyPy 3 | OK | TESTS | 88 | 140 | 0 | from sys import stdin, stdout
cin = stdin.readline
cout = stdout.write
n = int(cin())
a = list(map(int, cin().split()))
f, day = 0, 0
for i in a:
if i == 0:
day += 1
f = i
elif i == 1:
#day += f == 2
#f = (f != 2) * 2
if f == 2:
day += 1
f = 0
else:
f = 2
elif i == 2:
#day += f == 1
#f = f != 1
if f == 1:
day += 1
f = 0
else:
f = 1
else:
#f = (f==0)*3 + (f==1)*2 + f==2
if f == 0:
f = 3
elif f == 1:
f = 2
elif f == 2:
f = 1
else:
f = 0
cout(str(day))
#3 2 3 3 3 2 3 1 3 2 2 3 2 3 3 3 3 3 3 1 2 2 3 1 3 3 2 2 2 3 1 0 3 3 3 2 3 3 1 1 3 1 3 3 3 1 3 1 3 0 1 3 2 3 2 1 1 3 2
#3 3 3 2 3 1 3 3 3 3 2 2 2 1 3 1 3 3 3 3 1 3 2 3 3 0 3 3 3 3 3 1 0 2 1 3 3 0 2 3 3 | Title: Vacations
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya has *n* days of vacations! So he decided to improve his IT skills and do sport. Vasya knows the following information about each of this *n* days: whether that gym opened and whether a contest was carried out in the Internet on that day. For the *i*-th day there are four options:
1. on this day the gym is closed and the contest is not carried out; 1. on this day the gym is closed and the contest is carried out; 1. on this day the gym is open and the contest is not carried out; 1. on this day the gym is open and the contest is carried out.
On each of days Vasya can either have a rest or write the contest (if it is carried out on this day), or do sport (if the gym is open on this day).
Find the minimum number of days on which Vasya will have a rest (it means, he will not do sport and write the contest at the same time). The only limitation that Vasya has — he does not want to do the same activity on two consecutive days: it means, he will not do sport on two consecutive days, and write the contest on two consecutive days.
Input Specification:
The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=100) — the number of days of Vasya's vacations.
The second line contains the sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=3) separated by space, where:
- *a**i* equals 0, if on the *i*-th day of vacations the gym is closed and the contest is not carried out; - *a**i* equals 1, if on the *i*-th day of vacations the gym is closed, but the contest is carried out; - *a**i* equals 2, if on the *i*-th day of vacations the gym is open and the contest is not carried out; - *a**i* equals 3, if on the *i*-th day of vacations the gym is open and the contest is carried out.
Output Specification:
Print the minimum possible number of days on which Vasya will have a rest. Remember that Vasya refuses:
- to do sport on any two consecutive days, - to write the contest on any two consecutive days.
Demo Input:
['4\n1 3 2 0\n', '7\n1 3 3 2 1 2 3\n', '2\n2 2\n']
Demo Output:
['2\n', '0\n', '1\n']
Note:
In the first test Vasya can write the contest on the day number 1 and do sport on the day number 3. Thus, he will have a rest for only 2 days.
In the second test Vasya should write contests on days number 1, 3, 5 and 7, in other days do sport. Thus, he will not have a rest for a single day.
In the third test Vasya can do sport either on a day number 1 or number 2. He can not do sport in two days, because it will be contrary to the his limitation. Thus, he will have a rest for only one day. | ```python
from sys import stdin, stdout
cin = stdin.readline
cout = stdout.write
n = int(cin())
a = list(map(int, cin().split()))
f, day = 0, 0
for i in a:
if i == 0:
day += 1
f = i
elif i == 1:
#day += f == 2
#f = (f != 2) * 2
if f == 2:
day += 1
f = 0
else:
f = 2
elif i == 2:
#day += f == 1
#f = f != 1
if f == 1:
day += 1
f = 0
else:
f = 1
else:
#f = (f==0)*3 + (f==1)*2 + f==2
if f == 0:
f = 3
elif f == 1:
f = 2
elif f == 2:
f = 1
else:
f = 0
cout(str(day))
#3 2 3 3 3 2 3 1 3 2 2 3 2 3 3 3 3 3 3 1 2 2 3 1 3 3 2 2 2 3 1 0 3 3 3 2 3 3 1 1 3 1 3 3 3 1 3 1 3 0 1 3 2 3 2 1 1 3 2
#3 3 3 2 3 1 3 3 3 3 2 2 2 1 3 1 3 3 3 3 1 3 2 3 3 0 3 3 3 3 3 1 0 2 1 3 3 0 2 3 3
``` | 3 | |
964 | A | Splits | PROGRAMMING | 800 | [
"math"
] | null | null | Let's define a split of $n$ as a nonincreasing sequence of positive integers, the sum of which is $n$.
For example, the following sequences are splits of $8$: $[4, 4]$, $[3, 3, 2]$, $[2, 2, 1, 1, 1, 1]$, $[5, 2, 1]$.
The following sequences aren't splits of $8$: $[1, 7]$, $[5, 4]$, $[11, -3]$, $[1, 1, 4, 1, 1]$.
The weight of a split is the number of elements in the split that are equal to the first element. For example, the weight of the split $[1, 1, 1, 1, 1]$ is $5$, the weight of the split $[5, 5, 3, 3, 3]$ is $2$ and the weight of the split $[9]$ equals $1$.
For a given $n$, find out the number of different weights of its splits. | The first line contains one integer $n$ ($1 \leq n \leq 10^9$). | Output one integer — the answer to the problem. | [
"7\n",
"8\n",
"9\n"
] | [
"4\n",
"5\n",
"5\n"
] | In the first sample, there are following possible weights of splits of $7$:
Weight 1: [$\textbf 7$]
Weight 2: [$\textbf 3$, $\textbf 3$, 1]
Weight 3: [$\textbf 2$, $\textbf 2$, $\textbf 2$, 1]
Weight 7: [$\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$] | 500 | [
{
"input": "7",
"output": "4"
},
{
"input": "8",
"output": "5"
},
{
"input": "9",
"output": "5"
},
{
"input": "1",
"output": "1"
},
{
"input": "286",
"output": "144"
},
{
"input": "48",
"output": "25"
},
{
"input": "941",
"output": "471... | 1,523,977,323 | 3,423 | Python 3 | OK | TESTS | 63 | 93 | 7,065,600 | var = int(input())
print(var//2+1)
| Title: Splits
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Let's define a split of $n$ as a nonincreasing sequence of positive integers, the sum of which is $n$.
For example, the following sequences are splits of $8$: $[4, 4]$, $[3, 3, 2]$, $[2, 2, 1, 1, 1, 1]$, $[5, 2, 1]$.
The following sequences aren't splits of $8$: $[1, 7]$, $[5, 4]$, $[11, -3]$, $[1, 1, 4, 1, 1]$.
The weight of a split is the number of elements in the split that are equal to the first element. For example, the weight of the split $[1, 1, 1, 1, 1]$ is $5$, the weight of the split $[5, 5, 3, 3, 3]$ is $2$ and the weight of the split $[9]$ equals $1$.
For a given $n$, find out the number of different weights of its splits.
Input Specification:
The first line contains one integer $n$ ($1 \leq n \leq 10^9$).
Output Specification:
Output one integer — the answer to the problem.
Demo Input:
['7\n', '8\n', '9\n']
Demo Output:
['4\n', '5\n', '5\n']
Note:
In the first sample, there are following possible weights of splits of $7$:
Weight 1: [$\textbf 7$]
Weight 2: [$\textbf 3$, $\textbf 3$, 1]
Weight 3: [$\textbf 2$, $\textbf 2$, $\textbf 2$, 1]
Weight 7: [$\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$] | ```python
var = int(input())
print(var//2+1)
``` | 3 | |
239 | A | Two Bags of Potatoes | PROGRAMMING | 1,200 | [
"greedy",
"implementation",
"math"
] | null | null | Valera had two bags of potatoes, the first of these bags contains *x* (*x*<=≥<=1) potatoes, and the second — *y* (*y*<=≥<=1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains *x* potatoes) Valera lost. Valera remembers that the total amount of potatoes (*x*<=+<=*y*) in the two bags, firstly, was not gerater than *n*, and, secondly, was divisible by *k*.
Help Valera to determine how many potatoes could be in the first bag. Print all such possible numbers in ascending order. | The first line of input contains three integers *y*, *k*, *n* (1<=≤<=*y*,<=*k*,<=*n*<=≤<=109; <=≤<=105). | Print the list of whitespace-separated integers — all possible values of *x* in ascending order. You should print each possible value of *x* exactly once.
If there are no such values of *x* print a single integer -1. | [
"10 1 10\n",
"10 6 40\n"
] | [
"-1\n",
"2 8 14 20 26 \n"
] | none | 500 | [
{
"input": "10 1 10",
"output": "-1"
},
{
"input": "10 6 40",
"output": "2 8 14 20 26 "
},
{
"input": "10 1 20",
"output": "1 2 3 4 5 6 7 8 9 10 "
},
{
"input": "1 10000 1000000000",
"output": "9999 19999 29999 39999 49999 59999 69999 79999 89999 99999 109999 119999 12999... | 1,475,291,634 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 3 | 1,000 | 0 | if __name__ == '__main__':
y, k, n = str(input()).split()
y = int(y)
k = int(k)
n = int(n)
res = list()
for i in range(y + 1, n + 1):
if i % k == 0:
res.append(str(i - y))
if len(res) > 0:
print(' '.join(res))
else:
print(-1)
| Title: Two Bags of Potatoes
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Valera had two bags of potatoes, the first of these bags contains *x* (*x*<=≥<=1) potatoes, and the second — *y* (*y*<=≥<=1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains *x* potatoes) Valera lost. Valera remembers that the total amount of potatoes (*x*<=+<=*y*) in the two bags, firstly, was not gerater than *n*, and, secondly, was divisible by *k*.
Help Valera to determine how many potatoes could be in the first bag. Print all such possible numbers in ascending order.
Input Specification:
The first line of input contains three integers *y*, *k*, *n* (1<=≤<=*y*,<=*k*,<=*n*<=≤<=109; <=≤<=105).
Output Specification:
Print the list of whitespace-separated integers — all possible values of *x* in ascending order. You should print each possible value of *x* exactly once.
If there are no such values of *x* print a single integer -1.
Demo Input:
['10 1 10\n', '10 6 40\n']
Demo Output:
['-1\n', '2 8 14 20 26 \n']
Note:
none | ```python
if __name__ == '__main__':
y, k, n = str(input()).split()
y = int(y)
k = int(k)
n = int(n)
res = list()
for i in range(y + 1, n + 1):
if i % k == 0:
res.append(str(i - y))
if len(res) > 0:
print(' '.join(res))
else:
print(-1)
``` | 0 | |
1,009 | A | Game Shopping | PROGRAMMING | 800 | [
"implementation"
] | null | null | Maxim wants to buy some games at the local game shop. There are $n$ games in the shop, the $i$-th game costs $c_i$.
Maxim has a wallet which can be represented as an array of integers. His wallet contains $m$ bills, the $j$-th bill has value $a_j$.
Games in the shop are ordered from left to right, Maxim tries to buy every game in that order.
When Maxim stands at the position $i$ in the shop, he takes the first bill from his wallet (if his wallet is empty then he proceeds to the next position immediately) and tries to buy the $i$-th game using this bill. After Maxim tried to buy the $n$-th game, he leaves the shop.
Maxim buys the $i$-th game if and only if the value of the first bill (which he takes) from his wallet is greater or equal to the cost of the $i$-th game. If he successfully buys the $i$-th game, the first bill from his wallet disappears and the next bill becomes first. Otherwise Maxim leaves the first bill in his wallet (this bill still remains the first one) and proceeds to the next game.
For example, for array $c = [2, 4, 5, 2, 4]$ and array $a = [5, 3, 4, 6]$ the following process takes place: Maxim buys the first game using the first bill (its value is $5$), the bill disappears, after that the second bill (with value $3$) becomes the first one in Maxim's wallet, then Maxim doesn't buy the second game because $c_2 > a_2$, the same with the third game, then he buys the fourth game using the bill of value $a_2$ (the third bill becomes the first one in Maxim's wallet) and buys the fifth game using the bill of value $a_3$.
Your task is to get the number of games Maxim will buy. | The first line of the input contains two integers $n$ and $m$ ($1 \le n, m \le 1000$) — the number of games and the number of bills in Maxim's wallet.
The second line of the input contains $n$ integers $c_1, c_2, \dots, c_n$ ($1 \le c_i \le 1000$), where $c_i$ is the cost of the $i$-th game.
The third line of the input contains $m$ integers $a_1, a_2, \dots, a_m$ ($1 \le a_j \le 1000$), where $a_j$ is the value of the $j$-th bill from the Maxim's wallet. | Print a single integer — the number of games Maxim will buy. | [
"5 4\n2 4 5 2 4\n5 3 4 6\n",
"5 2\n20 40 50 20 40\n19 20\n",
"6 4\n4 8 15 16 23 42\n1000 1000 1000 1000\n"
] | [
"3\n",
"0\n",
"4\n"
] | The first example is described in the problem statement.
In the second example Maxim cannot buy any game because the value of the first bill in his wallet is smaller than the cost of any game in the shop.
In the third example the values of the bills in Maxim's wallet are large enough to buy any game he encounter until he runs out of bills in his wallet. | 0 | [
{
"input": "5 4\n2 4 5 2 4\n5 3 4 6",
"output": "3"
},
{
"input": "5 2\n20 40 50 20 40\n19 20",
"output": "0"
},
{
"input": "6 4\n4 8 15 16 23 42\n1000 1000 1000 1000",
"output": "4"
},
{
"input": "5 1\n1 1 1 1 1\n5",
"output": "1"
},
{
"input": "5 1\n10 1 1 1 1\n... | 1,592,372,569 | 2,147,483,647 | Python 3 | OK | TESTS | 19 | 109 | 307,200 | n,m=map(int,input().split())
l=list(map(int,input().split()))
k=list(map(int,input().split()))
i,j = 0,0
count=0
while i<len(l) and j<len(k):
if k[j]>=l[i]:
count+=1
j+=1
i+=1
else:
i+=1
print(count) | Title: Game Shopping
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Maxim wants to buy some games at the local game shop. There are $n$ games in the shop, the $i$-th game costs $c_i$.
Maxim has a wallet which can be represented as an array of integers. His wallet contains $m$ bills, the $j$-th bill has value $a_j$.
Games in the shop are ordered from left to right, Maxim tries to buy every game in that order.
When Maxim stands at the position $i$ in the shop, he takes the first bill from his wallet (if his wallet is empty then he proceeds to the next position immediately) and tries to buy the $i$-th game using this bill. After Maxim tried to buy the $n$-th game, he leaves the shop.
Maxim buys the $i$-th game if and only if the value of the first bill (which he takes) from his wallet is greater or equal to the cost of the $i$-th game. If he successfully buys the $i$-th game, the first bill from his wallet disappears and the next bill becomes first. Otherwise Maxim leaves the first bill in his wallet (this bill still remains the first one) and proceeds to the next game.
For example, for array $c = [2, 4, 5, 2, 4]$ and array $a = [5, 3, 4, 6]$ the following process takes place: Maxim buys the first game using the first bill (its value is $5$), the bill disappears, after that the second bill (with value $3$) becomes the first one in Maxim's wallet, then Maxim doesn't buy the second game because $c_2 > a_2$, the same with the third game, then he buys the fourth game using the bill of value $a_2$ (the third bill becomes the first one in Maxim's wallet) and buys the fifth game using the bill of value $a_3$.
Your task is to get the number of games Maxim will buy.
Input Specification:
The first line of the input contains two integers $n$ and $m$ ($1 \le n, m \le 1000$) — the number of games and the number of bills in Maxim's wallet.
The second line of the input contains $n$ integers $c_1, c_2, \dots, c_n$ ($1 \le c_i \le 1000$), where $c_i$ is the cost of the $i$-th game.
The third line of the input contains $m$ integers $a_1, a_2, \dots, a_m$ ($1 \le a_j \le 1000$), where $a_j$ is the value of the $j$-th bill from the Maxim's wallet.
Output Specification:
Print a single integer — the number of games Maxim will buy.
Demo Input:
['5 4\n2 4 5 2 4\n5 3 4 6\n', '5 2\n20 40 50 20 40\n19 20\n', '6 4\n4 8 15 16 23 42\n1000 1000 1000 1000\n']
Demo Output:
['3\n', '0\n', '4\n']
Note:
The first example is described in the problem statement.
In the second example Maxim cannot buy any game because the value of the first bill in his wallet is smaller than the cost of any game in the shop.
In the third example the values of the bills in Maxim's wallet are large enough to buy any game he encounter until he runs out of bills in his wallet. | ```python
n,m=map(int,input().split())
l=list(map(int,input().split()))
k=list(map(int,input().split()))
i,j = 0,0
count=0
while i<len(l) and j<len(k):
if k[j]>=l[i]:
count+=1
j+=1
i+=1
else:
i+=1
print(count)
``` | 3 | |
160 | A | Twins | PROGRAMMING | 900 | [
"greedy",
"sortings"
] | null | null | Imagine that you have a twin brother or sister. Having another person that looks exactly like you seems very unusual. It's hard to say if having something of an alter ego is good or bad. And if you do have a twin, then you very well know what it's like.
Now let's imagine a typical morning in your family. You haven't woken up yet, and Mom is already going to work. She has been so hasty that she has nearly forgotten to leave the two of her darling children some money to buy lunches in the school cafeteria. She fished in the purse and found some number of coins, or to be exact, *n* coins of arbitrary values *a*1,<=*a*2,<=...,<=*a**n*. But as Mom was running out of time, she didn't split the coins for you two. So she scribbled a note asking you to split the money equally.
As you woke up, you found Mom's coins and read her note. "But why split the money equally?" — you thought. After all, your twin is sleeping and he won't know anything. So you decided to act like that: pick for yourself some subset of coins so that the sum of values of your coins is strictly larger than the sum of values of the remaining coins that your twin will have. However, you correctly thought that if you take too many coins, the twin will suspect the deception. So, you've decided to stick to the following strategy to avoid suspicions: you take the minimum number of coins, whose sum of values is strictly more than the sum of values of the remaining coins. On this basis, determine what minimum number of coins you need to take to divide them in the described manner. | The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of coins. The second line contains a sequence of *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=100) — the coins' values. All numbers are separated with spaces. | In the single line print the single number — the minimum needed number of coins. | [
"2\n3 3\n",
"3\n2 1 2\n"
] | [
"2\n",
"2\n"
] | In the first sample you will have to take 2 coins (you and your twin have sums equal to 6, 0 correspondingly). If you take 1 coin, you get sums 3, 3. If you take 0 coins, you get sums 0, 6. Those variants do not satisfy you as your sum should be strictly more that your twins' sum.
In the second sample one coin isn't enough for us, too. You can pick coins with values 1, 2 or 2, 2. In any case, the minimum number of coins equals 2. | 500 | [
{
"input": "2\n3 3",
"output": "2"
},
{
"input": "3\n2 1 2",
"output": "2"
},
{
"input": "1\n5",
"output": "1"
},
{
"input": "5\n4 2 2 2 2",
"output": "3"
},
{
"input": "7\n1 10 1 2 1 1 1",
"output": "1"
},
{
"input": "5\n3 2 3 3 1",
"output": "3"
... | 1,686,735,944 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 92 | 0 | input()
s = input().split(" ")
t = sorted(s, key=int)
g = sum(t) // 2
h = 0
i = 0
while g > h:
h += s[i]
i += 1
print(i)
| Title: Twins
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Imagine that you have a twin brother or sister. Having another person that looks exactly like you seems very unusual. It's hard to say if having something of an alter ego is good or bad. And if you do have a twin, then you very well know what it's like.
Now let's imagine a typical morning in your family. You haven't woken up yet, and Mom is already going to work. She has been so hasty that she has nearly forgotten to leave the two of her darling children some money to buy lunches in the school cafeteria. She fished in the purse and found some number of coins, or to be exact, *n* coins of arbitrary values *a*1,<=*a*2,<=...,<=*a**n*. But as Mom was running out of time, she didn't split the coins for you two. So she scribbled a note asking you to split the money equally.
As you woke up, you found Mom's coins and read her note. "But why split the money equally?" — you thought. After all, your twin is sleeping and he won't know anything. So you decided to act like that: pick for yourself some subset of coins so that the sum of values of your coins is strictly larger than the sum of values of the remaining coins that your twin will have. However, you correctly thought that if you take too many coins, the twin will suspect the deception. So, you've decided to stick to the following strategy to avoid suspicions: you take the minimum number of coins, whose sum of values is strictly more than the sum of values of the remaining coins. On this basis, determine what minimum number of coins you need to take to divide them in the described manner.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of coins. The second line contains a sequence of *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=100) — the coins' values. All numbers are separated with spaces.
Output Specification:
In the single line print the single number — the minimum needed number of coins.
Demo Input:
['2\n3 3\n', '3\n2 1 2\n']
Demo Output:
['2\n', '2\n']
Note:
In the first sample you will have to take 2 coins (you and your twin have sums equal to 6, 0 correspondingly). If you take 1 coin, you get sums 3, 3. If you take 0 coins, you get sums 0, 6. Those variants do not satisfy you as your sum should be strictly more that your twins' sum.
In the second sample one coin isn't enough for us, too. You can pick coins with values 1, 2 or 2, 2. In any case, the minimum number of coins equals 2. | ```python
input()
s = input().split(" ")
t = sorted(s, key=int)
g = sum(t) // 2
h = 0
i = 0
while g > h:
h += s[i]
i += 1
print(i)
``` | -1 | |
729 | A | Interview with Oleg | PROGRAMMING | 900 | [
"implementation",
"strings"
] | null | null | Polycarp has interviewed Oleg and has written the interview down without punctuation marks and spaces to save time. Thus, the interview is now a string *s* consisting of *n* lowercase English letters.
There is a filler word ogo in Oleg's speech. All words that can be obtained from ogo by adding go several times to the end of it are also considered to be fillers. For example, the words ogo, ogogo, ogogogo are fillers, but the words go, og, ogog, ogogog and oggo are not fillers.
The fillers have maximal size, for example, for ogogoo speech we can't consider ogo a filler and goo as a normal phrase. We should consider ogogo as a filler here.
To print the interview, Polycarp has to replace each of the fillers with three asterisks. Note that a filler word is replaced with exactly three asterisks regardless of its length.
Polycarp has dealt with this problem in no time. Can you do the same? The clock is ticking! | The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=100) — the length of the interview.
The second line contains the string *s* of length *n*, consisting of lowercase English letters. | Print the interview text after the replacement of each of the fillers with "***". It is allowed for the substring "***" to have several consecutive occurences. | [
"7\naogogob\n",
"13\nogogmgogogogo\n",
"9\nogoogoogo\n"
] | [
"a***b\n",
"***gmg***\n",
"*********\n"
] | The first sample contains one filler word ogogo, so the interview for printing is "a***b".
The second sample contains two fillers ogo and ogogogo. Thus, the interview is transformed to "***gmg***". | 500 | [
{
"input": "7\naogogob",
"output": "a***b"
},
{
"input": "13\nogogmgogogogo",
"output": "***gmg***"
},
{
"input": "9\nogoogoogo",
"output": "*********"
},
{
"input": "32\nabcdefogoghijklmnogoopqrstuvwxyz",
"output": "abcdef***ghijklmn***opqrstuvwxyz"
},
{
"input":... | 1,566,151,130 | 2,147,483,647 | PyPy 3 | OK | TESTS | 48 | 140 | 0 | n=int(input())
s=list(input())
l=[]
i=0
while i<n :
if s[i]=="o" and s[i+1:i+3]==["g","o"]:
l.append("***")
while i<n-1 and s[i+1:i+3]==["g","o"]:
i+=2
i+=1
else:
l.append(s[i])
i+=1
print("".join(l))
| Title: Interview with Oleg
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Polycarp has interviewed Oleg and has written the interview down without punctuation marks and spaces to save time. Thus, the interview is now a string *s* consisting of *n* lowercase English letters.
There is a filler word ogo in Oleg's speech. All words that can be obtained from ogo by adding go several times to the end of it are also considered to be fillers. For example, the words ogo, ogogo, ogogogo are fillers, but the words go, og, ogog, ogogog and oggo are not fillers.
The fillers have maximal size, for example, for ogogoo speech we can't consider ogo a filler and goo as a normal phrase. We should consider ogogo as a filler here.
To print the interview, Polycarp has to replace each of the fillers with three asterisks. Note that a filler word is replaced with exactly three asterisks regardless of its length.
Polycarp has dealt with this problem in no time. Can you do the same? The clock is ticking!
Input Specification:
The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=100) — the length of the interview.
The second line contains the string *s* of length *n*, consisting of lowercase English letters.
Output Specification:
Print the interview text after the replacement of each of the fillers with "***". It is allowed for the substring "***" to have several consecutive occurences.
Demo Input:
['7\naogogob\n', '13\nogogmgogogogo\n', '9\nogoogoogo\n']
Demo Output:
['a***b\n', '***gmg***\n', '*********\n']
Note:
The first sample contains one filler word ogogo, so the interview for printing is "a***b".
The second sample contains two fillers ogo and ogogogo. Thus, the interview is transformed to "***gmg***". | ```python
n=int(input())
s=list(input())
l=[]
i=0
while i<n :
if s[i]=="o" and s[i+1:i+3]==["g","o"]:
l.append("***")
while i<n-1 and s[i+1:i+3]==["g","o"]:
i+=2
i+=1
else:
l.append(s[i])
i+=1
print("".join(l))
``` | 3 | |
731 | A | Night at the Museum | PROGRAMMING | 800 | [
"implementation",
"strings"
] | null | null | Grigoriy, like the hero of one famous comedy film, found a job as a night security guard at the museum. At first night he received embosser and was to take stock of the whole exposition.
Embosser is a special devise that allows to "print" the text of a plastic tape. Text is printed sequentially, character by character. The device consists of a wheel with a lowercase English letters written in a circle, static pointer to the current letter and a button that print the chosen letter. At one move it's allowed to rotate the alphabetic wheel one step clockwise or counterclockwise. Initially, static pointer points to letter 'a'. Other letters are located as shown on the picture:
After Grigoriy add new item to the base he has to print its name on the plastic tape and attach it to the corresponding exhibit. It's not required to return the wheel to its initial position with pointer on the letter 'a'.
Our hero is afraid that some exhibits may become alive and start to attack him, so he wants to print the names as fast as possible. Help him, for the given string find the minimum number of rotations of the wheel required to print it. | The only line of input contains the name of some exhibit — the non-empty string consisting of no more than 100 characters. It's guaranteed that the string consists of only lowercase English letters. | Print one integer — the minimum number of rotations of the wheel, required to print the name given in the input. | [
"zeus\n",
"map\n",
"ares\n"
] | [
"18\n",
"35\n",
"34\n"
] | To print the string from the first sample it would be optimal to perform the following sequence of rotations:
1. from 'a' to 'z' (1 rotation counterclockwise), 1. from 'z' to 'e' (5 clockwise rotations), 1. from 'e' to 'u' (10 rotations counterclockwise), 1. from 'u' to 's' (2 counterclockwise rotations). | 500 | [
{
"input": "zeus",
"output": "18"
},
{
"input": "map",
"output": "35"
},
{
"input": "ares",
"output": "34"
},
{
"input": "l",
"output": "11"
},
{
"input": "abcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuv",
"... | 1,645,661,317 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 44 | 46 | 0 |
def night_at_the_museum():
get_position = lambda letter: ord(letter) - ord('a')
s = input()
start_letter = 'a'
current_position = get_position(start_letter)
turns = 0
for letter in s:
letter_position =get_position(letter)
way_one = (current_position - letter_position) % 26
way_two = (letter_position - current_position) % 26
minimum_way = min(way_one,way_two)
turns += minimum_way
current_position = letter_position
print(turns)
night_at_the_museum()
| Title: Night at the Museum
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Grigoriy, like the hero of one famous comedy film, found a job as a night security guard at the museum. At first night he received embosser and was to take stock of the whole exposition.
Embosser is a special devise that allows to "print" the text of a plastic tape. Text is printed sequentially, character by character. The device consists of a wheel with a lowercase English letters written in a circle, static pointer to the current letter and a button that print the chosen letter. At one move it's allowed to rotate the alphabetic wheel one step clockwise or counterclockwise. Initially, static pointer points to letter 'a'. Other letters are located as shown on the picture:
After Grigoriy add new item to the base he has to print its name on the plastic tape and attach it to the corresponding exhibit. It's not required to return the wheel to its initial position with pointer on the letter 'a'.
Our hero is afraid that some exhibits may become alive and start to attack him, so he wants to print the names as fast as possible. Help him, for the given string find the minimum number of rotations of the wheel required to print it.
Input Specification:
The only line of input contains the name of some exhibit — the non-empty string consisting of no more than 100 characters. It's guaranteed that the string consists of only lowercase English letters.
Output Specification:
Print one integer — the minimum number of rotations of the wheel, required to print the name given in the input.
Demo Input:
['zeus\n', 'map\n', 'ares\n']
Demo Output:
['18\n', '35\n', '34\n']
Note:
To print the string from the first sample it would be optimal to perform the following sequence of rotations:
1. from 'a' to 'z' (1 rotation counterclockwise), 1. from 'z' to 'e' (5 clockwise rotations), 1. from 'e' to 'u' (10 rotations counterclockwise), 1. from 'u' to 's' (2 counterclockwise rotations). | ```python
def night_at_the_museum():
get_position = lambda letter: ord(letter) - ord('a')
s = input()
start_letter = 'a'
current_position = get_position(start_letter)
turns = 0
for letter in s:
letter_position =get_position(letter)
way_one = (current_position - letter_position) % 26
way_two = (letter_position - current_position) % 26
minimum_way = min(way_one,way_two)
turns += minimum_way
current_position = letter_position
print(turns)
night_at_the_museum()
``` | 3 | |
385 | E | Bear in the Field | PROGRAMMING | 2,300 | [
"math",
"matrices"
] | null | null | Our bear's forest has a checkered field. The checkered field is an *n*<=×<=*n* table, the rows are numbered from 1 to *n* from top to bottom, the columns are numbered from 1 to *n* from left to right. Let's denote a cell of the field on the intersection of row *x* and column *y* by record (*x*,<=*y*). Each cell of the field contains growing raspberry, at that, the cell (*x*,<=*y*) of the field contains *x*<=+<=*y* raspberry bushes.
The bear came out to walk across the field. At the beginning of the walk his speed is (*dx*,<=*dy*). Then the bear spends exactly *t* seconds on the field. Each second the following takes place:
- Let's suppose that at the current moment the bear is in cell (*x*,<=*y*). - First the bear eats the raspberry from all the bushes he has in the current cell. After the bear eats the raspberry from *k* bushes, he increases each component of his speed by *k*. In other words, if before eating the *k* bushes of raspberry his speed was (*dx*,<=*dy*), then after eating the berry his speed equals (*dx*<=+<=*k*,<=*dy*<=+<=*k*). - Let's denote the current speed of the bear (*dx*,<=*dy*) (it was increased after the previous step). Then the bear moves from cell (*x*,<=*y*) to cell (((*x*<=+<=*dx*<=-<=1) *mod* *n*)<=+<=1,<=((*y*<=+<=*dy*<=-<=1) *mod* *n*)<=+<=1). - Then one additional raspberry bush grows in each cell of the field.
You task is to predict the bear's actions. Find the cell he ends up in if he starts from cell (*sx*,<=*sy*). Assume that each bush has infinitely much raspberry and the bear will never eat all of it. | The first line of the input contains six space-separated integers: *n*, *sx*, *sy*, *dx*, *dy*, *t* (1<=≤<=*n*<=≤<=109; 1<=≤<=*sx*,<=*sy*<=≤<=*n*; <=-<=100<=≤<=*dx*,<=*dy*<=≤<=100; 0<=≤<=*t*<=≤<=1018). | Print two integers — the coordinates of the cell the bear will end up in after *t* seconds. | [
"5 1 2 0 1 2\n",
"1 1 1 -1 -1 2\n"
] | [
"3 1",
"1 1"
] | Operation *a* *mod* *b* means taking the remainder after dividing *a* by *b*. Note that the result of the operation is always non-negative. For example, ( - 1) *mod* 3 = 2.
In the first sample before the first move the speed vector will equal (3,4) and the bear will get to cell (4,1). Before the second move the speed vector will equal (9,10) and he bear will get to cell (3,1). Don't forget that at the second move, the number of berry bushes increased by 1.
In the second sample before the first move the speed vector will equal (1,1) and the bear will get to cell (1,1). Before the second move, the speed vector will equal (4,4) and the bear will get to cell (1,1). Don't forget that at the second move, the number of berry bushes increased by 1. | 2,500 | [
{
"input": "5 1 2 0 1 2",
"output": "3 1"
},
{
"input": "1 1 1 -1 -1 2",
"output": "1 1"
},
{
"input": "1 1 1 1 1 0",
"output": "1 1"
},
{
"input": "2 2 1 -2 -2 5",
"output": "1 2"
},
{
"input": "1000000000 1 1 1 1 1000000000000000000",
"output": "168318977 16... | 1,685,005,313 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 15 | 0 | def readString():
return input().split(" ")
def readInts():
return list(map(lambda s: int(s), readString()))
# Запустите "Медведь в поле (385.E)"
# чтобы протестировать код из этого файла
# со вводом из файла sample_input.txt
#
# В файле utils.py собраны несколько полезный функций и советов,
# которые помогут с решением задач в самом начале
# Медведь в поле
| Title: Bear in the Field
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Our bear's forest has a checkered field. The checkered field is an *n*<=×<=*n* table, the rows are numbered from 1 to *n* from top to bottom, the columns are numbered from 1 to *n* from left to right. Let's denote a cell of the field on the intersection of row *x* and column *y* by record (*x*,<=*y*). Each cell of the field contains growing raspberry, at that, the cell (*x*,<=*y*) of the field contains *x*<=+<=*y* raspberry bushes.
The bear came out to walk across the field. At the beginning of the walk his speed is (*dx*,<=*dy*). Then the bear spends exactly *t* seconds on the field. Each second the following takes place:
- Let's suppose that at the current moment the bear is in cell (*x*,<=*y*). - First the bear eats the raspberry from all the bushes he has in the current cell. After the bear eats the raspberry from *k* bushes, he increases each component of his speed by *k*. In other words, if before eating the *k* bushes of raspberry his speed was (*dx*,<=*dy*), then after eating the berry his speed equals (*dx*<=+<=*k*,<=*dy*<=+<=*k*). - Let's denote the current speed of the bear (*dx*,<=*dy*) (it was increased after the previous step). Then the bear moves from cell (*x*,<=*y*) to cell (((*x*<=+<=*dx*<=-<=1) *mod* *n*)<=+<=1,<=((*y*<=+<=*dy*<=-<=1) *mod* *n*)<=+<=1). - Then one additional raspberry bush grows in each cell of the field.
You task is to predict the bear's actions. Find the cell he ends up in if he starts from cell (*sx*,<=*sy*). Assume that each bush has infinitely much raspberry and the bear will never eat all of it.
Input Specification:
The first line of the input contains six space-separated integers: *n*, *sx*, *sy*, *dx*, *dy*, *t* (1<=≤<=*n*<=≤<=109; 1<=≤<=*sx*,<=*sy*<=≤<=*n*; <=-<=100<=≤<=*dx*,<=*dy*<=≤<=100; 0<=≤<=*t*<=≤<=1018).
Output Specification:
Print two integers — the coordinates of the cell the bear will end up in after *t* seconds.
Demo Input:
['5 1 2 0 1 2\n', '1 1 1 -1 -1 2\n']
Demo Output:
['3 1', '1 1']
Note:
Operation *a* *mod* *b* means taking the remainder after dividing *a* by *b*. Note that the result of the operation is always non-negative. For example, ( - 1) *mod* 3 = 2.
In the first sample before the first move the speed vector will equal (3,4) and the bear will get to cell (4,1). Before the second move the speed vector will equal (9,10) and he bear will get to cell (3,1). Don't forget that at the second move, the number of berry bushes increased by 1.
In the second sample before the first move the speed vector will equal (1,1) and the bear will get to cell (1,1). Before the second move, the speed vector will equal (4,4) and the bear will get to cell (1,1). Don't forget that at the second move, the number of berry bushes increased by 1. | ```python
def readString():
return input().split(" ")
def readInts():
return list(map(lambda s: int(s), readString()))
# Запустите "Медведь в поле (385.E)"
# чтобы протестировать код из этого файла
# со вводом из файла sample_input.txt
#
# В файле utils.py собраны несколько полезный функций и советов,
# которые помогут с решением задач в самом начале
# Медведь в поле
``` | 0 | |
708 | A | Letters Cyclic Shift | PROGRAMMING | 1,200 | [
"constructive algorithms",
"greedy",
"implementation",
"strings"
] | null | null | You are given a non-empty string *s* consisting of lowercase English letters. You have to pick exactly one non-empty substring of *s* and shift all its letters 'z' 'y' 'x' 'b' 'a' 'z'. In other words, each character is replaced with the previous character of English alphabet and 'a' is replaced with 'z'.
What is the lexicographically minimum string that can be obtained from *s* by performing this shift exactly once? | The only line of the input contains the string *s* (1<=≤<=|*s*|<=≤<=100<=000) consisting of lowercase English letters. | Print the lexicographically minimum string that can be obtained from *s* by shifting letters of exactly one non-empty substring. | [
"codeforces\n",
"abacaba\n"
] | [
"bncdenqbdr\n",
"aaacaba\n"
] | String *s* is lexicographically smaller than some other string *t* of the same length if there exists some 1 ≤ *i* ≤ |*s*|, such that *s*<sub class="lower-index">1</sub> = *t*<sub class="lower-index">1</sub>, *s*<sub class="lower-index">2</sub> = *t*<sub class="lower-index">2</sub>, ..., *s*<sub class="lower-index">*i* - 1</sub> = *t*<sub class="lower-index">*i* - 1</sub>, and *s*<sub class="lower-index">*i*</sub> < *t*<sub class="lower-index">*i*</sub>. | 500 | [
{
"input": "codeforces",
"output": "bncdenqbdr"
},
{
"input": "abacaba",
"output": "aaacaba"
},
{
"input": "babbbabaababbaa",
"output": "aabbbabaababbaa"
},
{
"input": "bcbacaabcababaccccaaaabacbbcbbaa",
"output": "abaacaabcababaccccaaaabacbbcbbaa"
},
{
"input": "... | 1,503,584,308 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 46 | 0 | s=input()
l=s.find('a')+1
s1=s[:l]
for i in range(l,len(s)):
if s[i]=='a':
s1+=s[i:]
break
s1+=chr(ord(s[i])-1)
print(s1)
| Title: Letters Cyclic Shift
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given a non-empty string *s* consisting of lowercase English letters. You have to pick exactly one non-empty substring of *s* and shift all its letters 'z' 'y' 'x' 'b' 'a' 'z'. In other words, each character is replaced with the previous character of English alphabet and 'a' is replaced with 'z'.
What is the lexicographically minimum string that can be obtained from *s* by performing this shift exactly once?
Input Specification:
The only line of the input contains the string *s* (1<=≤<=|*s*|<=≤<=100<=000) consisting of lowercase English letters.
Output Specification:
Print the lexicographically minimum string that can be obtained from *s* by shifting letters of exactly one non-empty substring.
Demo Input:
['codeforces\n', 'abacaba\n']
Demo Output:
['bncdenqbdr\n', 'aaacaba\n']
Note:
String *s* is lexicographically smaller than some other string *t* of the same length if there exists some 1 ≤ *i* ≤ |*s*|, such that *s*<sub class="lower-index">1</sub> = *t*<sub class="lower-index">1</sub>, *s*<sub class="lower-index">2</sub> = *t*<sub class="lower-index">2</sub>, ..., *s*<sub class="lower-index">*i* - 1</sub> = *t*<sub class="lower-index">*i* - 1</sub>, and *s*<sub class="lower-index">*i*</sub> < *t*<sub class="lower-index">*i*</sub>. | ```python
s=input()
l=s.find('a')+1
s1=s[:l]
for i in range(l,len(s)):
if s[i]=='a':
s1+=s[i:]
break
s1+=chr(ord(s[i])-1)
print(s1)
``` | 0 | |
926 | A | 2-3-numbers | PROGRAMMING | 1,300 | [
"implementation",
"math"
] | null | null | A positive integer is called a 2-3-integer, if it is equal to 2*x*·3*y* for some non-negative integers *x* and *y*. In other words, these integers are such integers that only have 2 and 3 among their prime divisors. For example, integers 1, 6, 9, 16 and 108 — are 2-3 integers, while 5, 10, 21 and 120 are not.
Print the number of 2-3-integers on the given segment [*l*,<=*r*], i. e. the number of sich 2-3-integers *t* that *l*<=≤<=*t*<=≤<=*r*. | The only line contains two integers *l* and *r* (1<=≤<=*l*<=≤<=*r*<=≤<=2·109). | Print a single integer the number of 2-3-integers on the segment [*l*,<=*r*]. | [
"1 10\n",
"100 200\n",
"1 2000000000\n"
] | [
"7\n",
"5\n",
"326\n"
] | In the first example the 2-3-integers are 1, 2, 3, 4, 6, 8 and 9.
In the second example the 2-3-integers are 108, 128, 144, 162 and 192. | 0 | [
{
"input": "1 10",
"output": "7"
},
{
"input": "100 200",
"output": "5"
},
{
"input": "1 2000000000",
"output": "326"
},
{
"input": "1088391168 1934917632",
"output": "17"
},
{
"input": "1088391167 1934917632",
"output": "17"
},
{
"input": "1088391169 ... | 1,662,045,544 | 2,147,483,647 | Python 3 | OK | TESTS | 53 | 46 | 0 | l, r = map(int, input().split())
result = set()
for x in range(31):
for y in range(20):
v = 2**x*3**y
if l <= v <= r:
result.add(v)
print(len(result)) | Title: 2-3-numbers
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A positive integer is called a 2-3-integer, if it is equal to 2*x*·3*y* for some non-negative integers *x* and *y*. In other words, these integers are such integers that only have 2 and 3 among their prime divisors. For example, integers 1, 6, 9, 16 and 108 — are 2-3 integers, while 5, 10, 21 and 120 are not.
Print the number of 2-3-integers on the given segment [*l*,<=*r*], i. e. the number of sich 2-3-integers *t* that *l*<=≤<=*t*<=≤<=*r*.
Input Specification:
The only line contains two integers *l* and *r* (1<=≤<=*l*<=≤<=*r*<=≤<=2·109).
Output Specification:
Print a single integer the number of 2-3-integers on the segment [*l*,<=*r*].
Demo Input:
['1 10\n', '100 200\n', '1 2000000000\n']
Demo Output:
['7\n', '5\n', '326\n']
Note:
In the first example the 2-3-integers are 1, 2, 3, 4, 6, 8 and 9.
In the second example the 2-3-integers are 108, 128, 144, 162 and 192. | ```python
l, r = map(int, input().split())
result = set()
for x in range(31):
for y in range(20):
v = 2**x*3**y
if l <= v <= r:
result.add(v)
print(len(result))
``` | 3 | |
1,000 | B | Light It Up | PROGRAMMING | 1,500 | [
"greedy"
] | null | null | Recently, you bought a brand new smart lamp with programming features. At first, you set up a schedule to the lamp. Every day it will turn power on at moment $0$ and turn power off at moment $M$. Moreover, the lamp allows you to set a program of switching its state (states are "lights on" and "lights off"). Unfortunately, some program is already installed into the lamp.
The lamp allows only good programs. Good program can be represented as a non-empty array $a$, where $0 < a_1 < a_2 < \dots < a_{|a|} < M$. All $a_i$ must be integers. Of course, preinstalled program is a good program.
The lamp follows program $a$ in next manner: at moment $0$ turns power and light on. Then at moment $a_i$ the lamp flips its state to opposite (if it was lit, it turns off, and vice versa). The state of the lamp flips instantly: for example, if you turn the light off at moment $1$ and then do nothing, the total time when the lamp is lit will be $1$. Finally, at moment $M$ the lamp is turning its power off regardless of its state.
Since you are not among those people who read instructions, and you don't understand the language it's written in, you realize (after some testing) the only possible way to alter the preinstalled program. You can insert at most one element into the program $a$, so it still should be a good program after alteration. Insertion can be done between any pair of consecutive elements of $a$, or even at the begining or at the end of $a$.
Find such a way to alter the program that the total time when the lamp is lit is maximum possible. Maybe you should leave program untouched. If the lamp is lit from $x$ till moment $y$, then its lit for $y - x$ units of time. Segments of time when the lamp is lit are summed up. | First line contains two space separated integers $n$ and $M$ ($1 \le n \le 10^5$, $2 \le M \le 10^9$) — the length of program $a$ and the moment when power turns off.
Second line contains $n$ space separated integers $a_1, a_2, \dots, a_n$ ($0 < a_1 < a_2 < \dots < a_n < M$) — initially installed program $a$. | Print the only integer — maximum possible total time when the lamp is lit. | [
"3 10\n4 6 7\n",
"2 12\n1 10\n",
"2 7\n3 4\n"
] | [
"8\n",
"9\n",
"6\n"
] | In the first example, one of possible optimal solutions is to insert value $x = 3$ before $a_1$, so program will be $[3, 4, 6, 7]$ and time of lamp being lit equals $(3 - 0) + (6 - 4) + (10 - 7) = 8$. Other possible solution is to insert $x = 5$ in appropriate place.
In the second example, there is only one optimal solution: to insert $x = 2$ between $a_1$ and $a_2$. Program will become $[1, 2, 10]$, and answer will be $(1 - 0) + (10 - 2) = 9$.
In the third example, optimal answer is to leave program untouched, so answer will be $(3 - 0) + (7 - 4) = 6$. | 0 | [
{
"input": "3 10\n4 6 7",
"output": "8"
},
{
"input": "2 12\n1 10",
"output": "9"
},
{
"input": "2 7\n3 4",
"output": "6"
},
{
"input": "1 2\n1",
"output": "1"
},
{
"input": "5 10\n1 3 5 6 8",
"output": "6"
},
{
"input": "7 1000000000\n1 10001 10011 20... | 1,666,670,920 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 19 | 1,000 | 14,540,800 | nums,off=map(int,input().split())
prog=['0']
prog+=input().split()
for i in range(nums+1):
prog[i]=int(prog[i])
prog.append(off)
allnums=[i+1 for i in prog]
allnums+=[i-1 for i in prog]
allnums=set(allnums)
for i in prog:
try:
allnums.remove(i)
except:
pass
ons=[]
ofs=[]
j=0
while j+1<len(prog):
ons.append(prog[j+1]-prog[j])
if j+2<len(prog):
ofs.append(prog[j+2]-prog[j+1])
j+=2
flag=sum(ons)
allnums=list(allnums)
allnums.sort()
allnums=allnums[1:-1]
for i in allnums:
if i-1 in prog:
t=prog.index(i-1)
if t%2==0:
ons1=ons[0:t//2]+[1]+ofs[t//2:]
else:
ons1=ons[0:t//2+1]+[-1]+ofs[t//2:]
flag=sum(ons1) if sum(ons1)>flag else flag
if i+1 in prog:
t=prog.index(i+1)
if t%2==0:
ons1=ons[0:t//2]+[1]+ofs[t//2:]
else:
ons1=ons[0:t//2+1]+[-1]+ofs[t//2:]
flag=sum(ons1) if sum(ons1)>flag else flag
print(flag)
| Title: Light It Up
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Recently, you bought a brand new smart lamp with programming features. At first, you set up a schedule to the lamp. Every day it will turn power on at moment $0$ and turn power off at moment $M$. Moreover, the lamp allows you to set a program of switching its state (states are "lights on" and "lights off"). Unfortunately, some program is already installed into the lamp.
The lamp allows only good programs. Good program can be represented as a non-empty array $a$, where $0 < a_1 < a_2 < \dots < a_{|a|} < M$. All $a_i$ must be integers. Of course, preinstalled program is a good program.
The lamp follows program $a$ in next manner: at moment $0$ turns power and light on. Then at moment $a_i$ the lamp flips its state to opposite (if it was lit, it turns off, and vice versa). The state of the lamp flips instantly: for example, if you turn the light off at moment $1$ and then do nothing, the total time when the lamp is lit will be $1$. Finally, at moment $M$ the lamp is turning its power off regardless of its state.
Since you are not among those people who read instructions, and you don't understand the language it's written in, you realize (after some testing) the only possible way to alter the preinstalled program. You can insert at most one element into the program $a$, so it still should be a good program after alteration. Insertion can be done between any pair of consecutive elements of $a$, or even at the begining or at the end of $a$.
Find such a way to alter the program that the total time when the lamp is lit is maximum possible. Maybe you should leave program untouched. If the lamp is lit from $x$ till moment $y$, then its lit for $y - x$ units of time. Segments of time when the lamp is lit are summed up.
Input Specification:
First line contains two space separated integers $n$ and $M$ ($1 \le n \le 10^5$, $2 \le M \le 10^9$) — the length of program $a$ and the moment when power turns off.
Second line contains $n$ space separated integers $a_1, a_2, \dots, a_n$ ($0 < a_1 < a_2 < \dots < a_n < M$) — initially installed program $a$.
Output Specification:
Print the only integer — maximum possible total time when the lamp is lit.
Demo Input:
['3 10\n4 6 7\n', '2 12\n1 10\n', '2 7\n3 4\n']
Demo Output:
['8\n', '9\n', '6\n']
Note:
In the first example, one of possible optimal solutions is to insert value $x = 3$ before $a_1$, so program will be $[3, 4, 6, 7]$ and time of lamp being lit equals $(3 - 0) + (6 - 4) + (10 - 7) = 8$. Other possible solution is to insert $x = 5$ in appropriate place.
In the second example, there is only one optimal solution: to insert $x = 2$ between $a_1$ and $a_2$. Program will become $[1, 2, 10]$, and answer will be $(1 - 0) + (10 - 2) = 9$.
In the third example, optimal answer is to leave program untouched, so answer will be $(3 - 0) + (7 - 4) = 6$. | ```python
nums,off=map(int,input().split())
prog=['0']
prog+=input().split()
for i in range(nums+1):
prog[i]=int(prog[i])
prog.append(off)
allnums=[i+1 for i in prog]
allnums+=[i-1 for i in prog]
allnums=set(allnums)
for i in prog:
try:
allnums.remove(i)
except:
pass
ons=[]
ofs=[]
j=0
while j+1<len(prog):
ons.append(prog[j+1]-prog[j])
if j+2<len(prog):
ofs.append(prog[j+2]-prog[j+1])
j+=2
flag=sum(ons)
allnums=list(allnums)
allnums.sort()
allnums=allnums[1:-1]
for i in allnums:
if i-1 in prog:
t=prog.index(i-1)
if t%2==0:
ons1=ons[0:t//2]+[1]+ofs[t//2:]
else:
ons1=ons[0:t//2+1]+[-1]+ofs[t//2:]
flag=sum(ons1) if sum(ons1)>flag else flag
if i+1 in prog:
t=prog.index(i+1)
if t%2==0:
ons1=ons[0:t//2]+[1]+ofs[t//2:]
else:
ons1=ons[0:t//2+1]+[-1]+ofs[t//2:]
flag=sum(ons1) if sum(ons1)>flag else flag
print(flag)
``` | 0 | |
846 | B | Math Show | PROGRAMMING | 1,800 | [
"brute force",
"greedy"
] | null | null | Polycarp takes part in a math show. He is given *n* tasks, each consists of *k* subtasks, numbered 1 through *k*. It takes him *t**j* minutes to solve the *j*-th subtask of any task. Thus, time required to solve a subtask depends only on its index, but not on the task itself. Polycarp can solve subtasks in any order.
By solving subtask of arbitrary problem he earns one point. Thus, the number of points for task is equal to the number of solved subtasks in it. Moreover, if Polycarp completely solves the task (solves all *k* of its subtasks), he recieves one extra point. Thus, total number of points he recieves for the complete solution of the task is *k*<=+<=1.
Polycarp has *M* minutes of time. What is the maximum number of points he can earn? | The first line contains three integer numbers *n*, *k* and *M* (1<=≤<=*n*<=≤<=45, 1<=≤<=*k*<=≤<=45, 0<=≤<=*M*<=≤<=2·109).
The second line contains *k* integer numbers, values *t**j* (1<=≤<=*t**j*<=≤<=1000000), where *t**j* is the time in minutes required to solve *j*-th subtask of any task. | Print the maximum amount of points Polycarp can earn in *M* minutes. | [
"3 4 11\n1 2 3 4\n",
"5 5 10\n1 2 4 8 16\n"
] | [
"6\n",
"7\n"
] | In the first example Polycarp can complete the first task and spend 1 + 2 + 3 + 4 = 10 minutes. He also has the time to solve one subtask of the second task in one minute.
In the second example Polycarp can solve the first subtask of all five tasks and spend 5·1 = 5 minutes. Also he can solve the second subtasks of two tasks and spend 2·2 = 4 minutes. Thus, he earns 5 + 2 = 7 points in total. | 0 | [
{
"input": "3 4 11\n1 2 3 4",
"output": "6"
},
{
"input": "5 5 10\n1 2 4 8 16",
"output": "7"
},
{
"input": "1 1 0\n2",
"output": "0"
},
{
"input": "1 1 1\n1",
"output": "2"
},
{
"input": "2 1 0\n2",
"output": "0"
},
{
"input": "2 2 2\n2 3",
"outpu... | 1,592,018,566 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 7 | 140 | 0 | n, k, m = [int(i) for i in input().split()]
t = sorted([int(i) for i in input().split()])
each_task = sum(t)
time_used = m // each_task * each_task # for complete task
ans = m // each_task * (k+1)
m -= time_used
n -= m// each_task
# updated total task left
# start solving easy task
for i in range(k):
num_sub = min(m//t[i], n)
m -= num_sub * t[i]
ans += num_sub
if m <= 0:
break
print(ans)
| Title: Math Show
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Polycarp takes part in a math show. He is given *n* tasks, each consists of *k* subtasks, numbered 1 through *k*. It takes him *t**j* minutes to solve the *j*-th subtask of any task. Thus, time required to solve a subtask depends only on its index, but not on the task itself. Polycarp can solve subtasks in any order.
By solving subtask of arbitrary problem he earns one point. Thus, the number of points for task is equal to the number of solved subtasks in it. Moreover, if Polycarp completely solves the task (solves all *k* of its subtasks), he recieves one extra point. Thus, total number of points he recieves for the complete solution of the task is *k*<=+<=1.
Polycarp has *M* minutes of time. What is the maximum number of points he can earn?
Input Specification:
The first line contains three integer numbers *n*, *k* and *M* (1<=≤<=*n*<=≤<=45, 1<=≤<=*k*<=≤<=45, 0<=≤<=*M*<=≤<=2·109).
The second line contains *k* integer numbers, values *t**j* (1<=≤<=*t**j*<=≤<=1000000), where *t**j* is the time in minutes required to solve *j*-th subtask of any task.
Output Specification:
Print the maximum amount of points Polycarp can earn in *M* minutes.
Demo Input:
['3 4 11\n1 2 3 4\n', '5 5 10\n1 2 4 8 16\n']
Demo Output:
['6\n', '7\n']
Note:
In the first example Polycarp can complete the first task and spend 1 + 2 + 3 + 4 = 10 minutes. He also has the time to solve one subtask of the second task in one minute.
In the second example Polycarp can solve the first subtask of all five tasks and spend 5·1 = 5 minutes. Also he can solve the second subtasks of two tasks and spend 2·2 = 4 minutes. Thus, he earns 5 + 2 = 7 points in total. | ```python
n, k, m = [int(i) for i in input().split()]
t = sorted([int(i) for i in input().split()])
each_task = sum(t)
time_used = m // each_task * each_task # for complete task
ans = m // each_task * (k+1)
m -= time_used
n -= m// each_task
# updated total task left
# start solving easy task
for i in range(k):
num_sub = min(m//t[i], n)
m -= num_sub * t[i]
ans += num_sub
if m <= 0:
break
print(ans)
``` | 0 | |
0 | none | none | none | 0 | [
"none"
] | null | null | Hongcow is ruler of the world. As ruler of the world, he wants to make it easier for people to travel by road within their own countries.
The world can be modeled as an undirected graph with *n* nodes and *m* edges. *k* of the nodes are home to the governments of the *k* countries that make up the world.
There is at most one edge connecting any two nodes and no edge connects a node to itself. Furthermore, for any two nodes corresponding to governments, there is no path between those two nodes. Any graph that satisfies all of these conditions is stable.
Hongcow wants to add as many edges as possible to the graph while keeping it stable. Determine the maximum number of edges Hongcow can add. | The first line of input will contain three integers *n*, *m* and *k* (1<=≤<=*n*<=≤<=1<=000, 0<=≤<=*m*<=≤<=100<=000, 1<=≤<=*k*<=≤<=*n*) — the number of vertices and edges in the graph, and the number of vertices that are homes of the government.
The next line of input will contain *k* integers *c*1,<=*c*2,<=...,<=*c**k* (1<=≤<=*c**i*<=≤<=*n*). These integers will be pairwise distinct and denote the nodes that are home to the governments in this world.
The following *m* lines of input will contain two integers *u**i* and *v**i* (1<=≤<=*u**i*,<=*v**i*<=≤<=*n*). This denotes an undirected edge between nodes *u**i* and *v**i*.
It is guaranteed that the graph described by the input is stable. | Output a single integer, the maximum number of edges Hongcow can add to the graph while keeping it stable. | [
"4 1 2\n1 3\n1 2\n",
"3 3 1\n2\n1 2\n1 3\n2 3\n"
] | [
"2\n",
"0\n"
] | For the first sample test, the graph looks like this:
For the second sample test, the graph looks like this: | 0 | [
{
"input": "4 1 2\n1 3\n1 2",
"output": "2"
},
{
"input": "3 3 1\n2\n1 2\n1 3\n2 3",
"output": "0"
},
{
"input": "10 3 2\n1 10\n1 2\n1 3\n4 5",
"output": "33"
},
{
"input": "1 0 1\n1",
"output": "0"
},
{
"input": "1000 0 1\n72",
"output": "499500"
},
{
... | 1,481,997,198 | 4,698 | Python 3 | WRONG_ANSWER | PRETESTS | 2 | 46 | 4,915,200 | cases = input().split()
n = int(cases[0])
m = int(cases[1])
k = int(cases[2])
ks = input().split()
indiv = [0]*(n+1)
non_index = []
a = []
result = 0
for i in range(m):
edge = input().split()
fnode = edge[0]
snode = edge[1]
got_it = False
for j in range(len(a)):
if fnode in a[j] or snode in a[j]:
a[j].add(fnode)
a[j].add(snode)
indiv[int(fnode)] = 1
indiv[int(snode)] = 1
if snode in ks or fnode in ks:
non_index[j] = 1
else:
non_index[j] = 0
got_it = True
if not got_it:
a.append(set())
a[-1].add(snode)
a[-1].add(fnode)
indiv[int(fnode)] = 1
indiv[int(snode)] = 1
if snode in ks or fnode in ks:
non_index.append(1)
else:
non_index.append(0)
for i in range(1, len(indiv)):
if not indiv[i]:
max_set = 0
max_index = -1
if str(i) not in ks:
for j in range(len(a)):
if len(a[j]) >max_set:
max_set = len(a[j])
max_index = j
result += len(a[max_index])
a[max_index].add(str(i))
b = []
c = []
for i in range(len(a)):
if non_index[i] == 0:
b.append(a[i])
else:
c.append(a[i])
c_max = max(c)
c_max_len = len(c_max)
for i in range(len(b)):
b_len = len(b[i])
result = c_max_len * b_len
c_max_len = len(c_max.union(b[i]))
print(result)
| Title: none
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Hongcow is ruler of the world. As ruler of the world, he wants to make it easier for people to travel by road within their own countries.
The world can be modeled as an undirected graph with *n* nodes and *m* edges. *k* of the nodes are home to the governments of the *k* countries that make up the world.
There is at most one edge connecting any two nodes and no edge connects a node to itself. Furthermore, for any two nodes corresponding to governments, there is no path between those two nodes. Any graph that satisfies all of these conditions is stable.
Hongcow wants to add as many edges as possible to the graph while keeping it stable. Determine the maximum number of edges Hongcow can add.
Input Specification:
The first line of input will contain three integers *n*, *m* and *k* (1<=≤<=*n*<=≤<=1<=000, 0<=≤<=*m*<=≤<=100<=000, 1<=≤<=*k*<=≤<=*n*) — the number of vertices and edges in the graph, and the number of vertices that are homes of the government.
The next line of input will contain *k* integers *c*1,<=*c*2,<=...,<=*c**k* (1<=≤<=*c**i*<=≤<=*n*). These integers will be pairwise distinct and denote the nodes that are home to the governments in this world.
The following *m* lines of input will contain two integers *u**i* and *v**i* (1<=≤<=*u**i*,<=*v**i*<=≤<=*n*). This denotes an undirected edge between nodes *u**i* and *v**i*.
It is guaranteed that the graph described by the input is stable.
Output Specification:
Output a single integer, the maximum number of edges Hongcow can add to the graph while keeping it stable.
Demo Input:
['4 1 2\n1 3\n1 2\n', '3 3 1\n2\n1 2\n1 3\n2 3\n']
Demo Output:
['2\n', '0\n']
Note:
For the first sample test, the graph looks like this:
For the second sample test, the graph looks like this: | ```python
cases = input().split()
n = int(cases[0])
m = int(cases[1])
k = int(cases[2])
ks = input().split()
indiv = [0]*(n+1)
non_index = []
a = []
result = 0
for i in range(m):
edge = input().split()
fnode = edge[0]
snode = edge[1]
got_it = False
for j in range(len(a)):
if fnode in a[j] or snode in a[j]:
a[j].add(fnode)
a[j].add(snode)
indiv[int(fnode)] = 1
indiv[int(snode)] = 1
if snode in ks or fnode in ks:
non_index[j] = 1
else:
non_index[j] = 0
got_it = True
if not got_it:
a.append(set())
a[-1].add(snode)
a[-1].add(fnode)
indiv[int(fnode)] = 1
indiv[int(snode)] = 1
if snode in ks or fnode in ks:
non_index.append(1)
else:
non_index.append(0)
for i in range(1, len(indiv)):
if not indiv[i]:
max_set = 0
max_index = -1
if str(i) not in ks:
for j in range(len(a)):
if len(a[j]) >max_set:
max_set = len(a[j])
max_index = j
result += len(a[max_index])
a[max_index].add(str(i))
b = []
c = []
for i in range(len(a)):
if non_index[i] == 0:
b.append(a[i])
else:
c.append(a[i])
c_max = max(c)
c_max_len = len(c_max)
for i in range(len(b)):
b_len = len(b[i])
result = c_max_len * b_len
c_max_len = len(c_max.union(b[i]))
print(result)
``` | 0 | |
372 | A | Counting Kangaroos is Fun | PROGRAMMING | 1,600 | [
"binary search",
"greedy",
"sortings",
"two pointers"
] | null | null | There are *n* kangaroos with pockets. Each kangaroo has a size (integer number). A kangaroo can go into another kangaroo's pocket if and only if the size of kangaroo who hold the kangaroo is at least twice as large as the size of kangaroo who is held.
Each kangaroo can hold at most one kangaroo, and the kangaroo who is held by another kangaroo cannot hold any kangaroos.
The kangaroo who is held by another kangaroo cannot be visible from outside. Please, find a plan of holding kangaroos with the minimal number of kangaroos who is visible. | The first line contains a single integer — *n* (1<=≤<=*n*<=≤<=5·105). Each of the next *n* lines contains an integer *s**i* — the size of the *i*-th kangaroo (1<=≤<=*s**i*<=≤<=105). | Output a single integer — the optimal number of visible kangaroos. | [
"8\n2\n5\n7\n6\n9\n8\n4\n2\n",
"8\n9\n1\n6\n2\n6\n5\n8\n3\n"
] | [
"5\n",
"5\n"
] | none | 500 | [
{
"input": "8\n2\n5\n7\n6\n9\n8\n4\n2",
"output": "5"
},
{
"input": "8\n9\n1\n6\n2\n6\n5\n8\n3",
"output": "5"
},
{
"input": "12\n3\n99\n24\n46\n75\n63\n57\n55\n10\n62\n34\n52",
"output": "7"
},
{
"input": "12\n55\n75\n1\n98\n63\n64\n9\n39\n82\n18\n47\n9",
"output": "6"
... | 1,617,432,712 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 46 | 0 | n = int(input())
arr = []
f = []
nf = n
for i in n:
x = int(input())
arr.append(x)
f.append(x)
arr.sort()
sd = []
for i in range(n,-1,-1):
t = int(arr[i] / 2)
for j in range(i-1,-1,-1):
if arr[j] <= t and j not in sd:
nf-=1
sd.append(j)
break
print(nf) | Title: Counting Kangaroos is Fun
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There are *n* kangaroos with pockets. Each kangaroo has a size (integer number). A kangaroo can go into another kangaroo's pocket if and only if the size of kangaroo who hold the kangaroo is at least twice as large as the size of kangaroo who is held.
Each kangaroo can hold at most one kangaroo, and the kangaroo who is held by another kangaroo cannot hold any kangaroos.
The kangaroo who is held by another kangaroo cannot be visible from outside. Please, find a plan of holding kangaroos with the minimal number of kangaroos who is visible.
Input Specification:
The first line contains a single integer — *n* (1<=≤<=*n*<=≤<=5·105). Each of the next *n* lines contains an integer *s**i* — the size of the *i*-th kangaroo (1<=≤<=*s**i*<=≤<=105).
Output Specification:
Output a single integer — the optimal number of visible kangaroos.
Demo Input:
['8\n2\n5\n7\n6\n9\n8\n4\n2\n', '8\n9\n1\n6\n2\n6\n5\n8\n3\n']
Demo Output:
['5\n', '5\n']
Note:
none | ```python
n = int(input())
arr = []
f = []
nf = n
for i in n:
x = int(input())
arr.append(x)
f.append(x)
arr.sort()
sd = []
for i in range(n,-1,-1):
t = int(arr[i] / 2)
for j in range(i-1,-1,-1):
if arr[j] <= t and j not in sd:
nf-=1
sd.append(j)
break
print(nf)
``` | -1 | |
538 | A | Cutting Banner | PROGRAMMING | 1,400 | [
"brute force",
"implementation"
] | null | null | A large banner with word CODEFORCES was ordered for the 1000-th onsite round of Codeforcesω that takes place on the Miami beach. Unfortunately, the company that made the banner mixed up two orders and delivered somebody else's banner that contains someone else's word. The word on the banner consists only of upper-case English letters.
There is very little time to correct the mistake. All that we can manage to do is to cut out some substring from the banner, i.e. several consecutive letters. After that all the resulting parts of the banner will be glued into a single piece (if the beginning or the end of the original banner was cut out, only one part remains); it is not allowed change the relative order of parts of the banner (i.e. after a substring is cut, several first and last letters are left, it is allowed only to glue the last letters to the right of the first letters). Thus, for example, for example, you can cut a substring out from string 'TEMPLATE' and get string 'TEMPLE' (if you cut out string AT), 'PLATE' (if you cut out TEM), 'T' (if you cut out EMPLATE), etc.
Help the organizers of the round determine whether it is possible to cut out of the banner some substring in such a way that the remaining parts formed word CODEFORCES. | The single line of the input contains the word written on the banner. The word only consists of upper-case English letters. The word is non-empty and its length doesn't exceed 100 characters. It is guaranteed that the word isn't word CODEFORCES. | Print 'YES', if there exists a way to cut out the substring, and 'NO' otherwise (without the quotes). | [
"CODEWAITFORITFORCES\n",
"BOTTOMCODER\n",
"DECODEFORCES\n",
"DOGEFORCES\n"
] | [
"YES\n",
"NO\n",
"YES\n",
"NO\n"
] | none | 500 | [
{
"input": "CODEWAITFORITFORCES",
"output": "YES"
},
{
"input": "BOTTOMCODER",
"output": "NO"
},
{
"input": "DECODEFORCES",
"output": "YES"
},
{
"input": "DOGEFORCES",
"output": "NO"
},
{
"input": "ABACABA",
"output": "NO"
},
{
"input": "CODEFORCE",
... | 1,432,484,523 | 2,147,483,647 | Python 3 | OK | TESTS | 55 | 62 | 0 | #!/usr/bin/env python3
s = input()
x = 'CODEFORCES'
found = False
for i in range(len(s)):
for j in range(i, len(s)+1):
if s[:i] + s[j:] == x:
print('YES')
found = True
break
if found:
break
else:
print('NO')
| Title: Cutting Banner
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A large banner with word CODEFORCES was ordered for the 1000-th onsite round of Codeforcesω that takes place on the Miami beach. Unfortunately, the company that made the banner mixed up two orders and delivered somebody else's banner that contains someone else's word. The word on the banner consists only of upper-case English letters.
There is very little time to correct the mistake. All that we can manage to do is to cut out some substring from the banner, i.e. several consecutive letters. After that all the resulting parts of the banner will be glued into a single piece (if the beginning or the end of the original banner was cut out, only one part remains); it is not allowed change the relative order of parts of the banner (i.e. after a substring is cut, several first and last letters are left, it is allowed only to glue the last letters to the right of the first letters). Thus, for example, for example, you can cut a substring out from string 'TEMPLATE' and get string 'TEMPLE' (if you cut out string AT), 'PLATE' (if you cut out TEM), 'T' (if you cut out EMPLATE), etc.
Help the organizers of the round determine whether it is possible to cut out of the banner some substring in such a way that the remaining parts formed word CODEFORCES.
Input Specification:
The single line of the input contains the word written on the banner. The word only consists of upper-case English letters. The word is non-empty and its length doesn't exceed 100 characters. It is guaranteed that the word isn't word CODEFORCES.
Output Specification:
Print 'YES', if there exists a way to cut out the substring, and 'NO' otherwise (without the quotes).
Demo Input:
['CODEWAITFORITFORCES\n', 'BOTTOMCODER\n', 'DECODEFORCES\n', 'DOGEFORCES\n']
Demo Output:
['YES\n', 'NO\n', 'YES\n', 'NO\n']
Note:
none | ```python
#!/usr/bin/env python3
s = input()
x = 'CODEFORCES'
found = False
for i in range(len(s)):
for j in range(i, len(s)+1):
if s[:i] + s[j:] == x:
print('YES')
found = True
break
if found:
break
else:
print('NO')
``` | 3 | |
938 | B | Run For Your Prize | PROGRAMMING | 1,100 | [
"brute force",
"greedy"
] | null | null | You and your friend are participating in a TV show "Run For Your Prize".
At the start of the show *n* prizes are located on a straight line. *i*-th prize is located at position *a**i*. Positions of all prizes are distinct. You start at position 1, your friend — at position 106 (and there is no prize in any of these two positions). You have to work as a team and collect all prizes in minimum possible time, in any order.
You know that it takes exactly 1 second to move from position *x* to position *x*<=+<=1 or *x*<=-<=1, both for you and your friend. You also have trained enough to instantly pick up any prize, if its position is equal to your current position (and the same is true for your friend). Carrying prizes does not affect your speed (or your friend's speed) at all.
Now you may discuss your strategy with your friend and decide who will pick up each prize. Remember that every prize must be picked up, either by you or by your friend.
What is the minimum number of seconds it will take to pick up all the prizes? | The first line contains one integer *n* (1<=≤<=*n*<=≤<=105) — the number of prizes.
The second line contains *n* integers *a*1, *a*2, ..., *a**n* (2<=≤<=*a**i*<=≤<=106<=-<=1) — the positions of the prizes. No two prizes are located at the same position. Positions are given in ascending order. | Print one integer — the minimum number of seconds it will take to collect all prizes. | [
"3\n2 3 9\n",
"2\n2 999995\n"
] | [
"8\n",
"5\n"
] | In the first example you take all the prizes: take the first at 1, the second at 2 and the third at 8.
In the second example you take the first prize in 1 second and your friend takes the other in 5 seconds, you do this simultaneously, so the total time is 5. | 0 | [
{
"input": "3\n2 3 9",
"output": "8"
},
{
"input": "2\n2 999995",
"output": "5"
},
{
"input": "1\n20",
"output": "19"
},
{
"input": "6\n2 3 500000 999997 999998 999999",
"output": "499999"
},
{
"input": "1\n999999",
"output": "1"
},
{
"input": "1\n5100... | 1,556,211,260 | 2,147,483,647 | PyPy 3 | TIME_LIMIT_EXCEEDED | TESTS | 2 | 1,000 | 9,728,000 | n = int(input())
li = [int(j) for j in input().split()]
a = 1
b = 10 ** 6
while(True):
if(a in li):
li.remove(a)
if(b in li):
li.remove(b)
a = a + 1
b = b - 1
if(li == []):
break
print(a-2) | Title: Run For Your Prize
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You and your friend are participating in a TV show "Run For Your Prize".
At the start of the show *n* prizes are located on a straight line. *i*-th prize is located at position *a**i*. Positions of all prizes are distinct. You start at position 1, your friend — at position 106 (and there is no prize in any of these two positions). You have to work as a team and collect all prizes in minimum possible time, in any order.
You know that it takes exactly 1 second to move from position *x* to position *x*<=+<=1 or *x*<=-<=1, both for you and your friend. You also have trained enough to instantly pick up any prize, if its position is equal to your current position (and the same is true for your friend). Carrying prizes does not affect your speed (or your friend's speed) at all.
Now you may discuss your strategy with your friend and decide who will pick up each prize. Remember that every prize must be picked up, either by you or by your friend.
What is the minimum number of seconds it will take to pick up all the prizes?
Input Specification:
The first line contains one integer *n* (1<=≤<=*n*<=≤<=105) — the number of prizes.
The second line contains *n* integers *a*1, *a*2, ..., *a**n* (2<=≤<=*a**i*<=≤<=106<=-<=1) — the positions of the prizes. No two prizes are located at the same position. Positions are given in ascending order.
Output Specification:
Print one integer — the minimum number of seconds it will take to collect all prizes.
Demo Input:
['3\n2 3 9\n', '2\n2 999995\n']
Demo Output:
['8\n', '5\n']
Note:
In the first example you take all the prizes: take the first at 1, the second at 2 and the third at 8.
In the second example you take the first prize in 1 second and your friend takes the other in 5 seconds, you do this simultaneously, so the total time is 5. | ```python
n = int(input())
li = [int(j) for j in input().split()]
a = 1
b = 10 ** 6
while(True):
if(a in li):
li.remove(a)
if(b in li):
li.remove(b)
a = a + 1
b = b - 1
if(li == []):
break
print(a-2)
``` | 0 | |
519 | B | A and B and Compilation Errors | PROGRAMMING | 1,100 | [
"data structures",
"implementation",
"sortings"
] | null | null | A and B are preparing themselves for programming contests.
B loves to debug his code. But before he runs the solution and starts debugging, he has to first compile the code.
Initially, the compiler displayed *n* compilation errors, each of them is represented as a positive integer. After some effort, B managed to fix some mistake and then another one mistake.
However, despite the fact that B is sure that he corrected the two errors, he can not understand exactly what compilation errors disappeared — the compiler of the language which B uses shows errors in the new order every time! B is sure that unlike many other programming languages, compilation errors for his programming language do not depend on each other, that is, if you correct one error, the set of other error does not change.
Can you help B find out exactly what two errors he corrected? | The first line of the input contains integer *n* (3<=≤<=*n*<=≤<=105) — the initial number of compilation errors.
The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the errors the compiler displayed for the first time.
The third line contains *n*<=-<=1 space-separated integers *b*1,<=*b*2,<=...,<=*b**n*<=-<=1 — the errors displayed at the second compilation. It is guaranteed that the sequence in the third line contains all numbers of the second string except for exactly one.
The fourth line contains *n*<=-<=2 space-separated integers *с*1,<=*с*2,<=...,<=*с**n*<=-<=2 — the errors displayed at the third compilation. It is guaranteed that the sequence in the fourth line contains all numbers of the third line except for exactly one. | Print two numbers on a single line: the numbers of the compilation errors that disappeared after B made the first and the second correction, respectively. | [
"5\n1 5 8 123 7\n123 7 5 1\n5 1 7\n",
"6\n1 4 3 3 5 7\n3 7 5 4 3\n4 3 7 5\n"
] | [
"8\n123\n",
"1\n3\n"
] | In the first test sample B first corrects the error number 8, then the error number 123.
In the second test sample B first corrects the error number 1, then the error number 3. Note that if there are multiple errors with the same number, B can correct only one of them in one step. | 1,000 | [
{
"input": "5\n1 5 8 123 7\n123 7 5 1\n5 1 7",
"output": "8\n123"
},
{
"input": "6\n1 4 3 3 5 7\n3 7 5 4 3\n4 3 7 5",
"output": "1\n3"
},
{
"input": "3\n1 2 3\n3 2\n2",
"output": "1\n3"
},
{
"input": "10\n460626451 802090732 277246428 661369649 388684428 784303821 376287098 6... | 1,674,194,914 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 33 | 124 | 22,323,200 | def task():
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
c = list(map(int, input().split()))
a_sum = 0
for i in a:
a_sum += i
b_sum = 0
for i in b:
b_sum += i
c_sum = 0
for i in c:
c_sum += i
print(a_sum - b_sum)
print(b_sum - c_sum)
if __name__ == '__main__':
task()
| Title: A and B and Compilation Errors
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A and B are preparing themselves for programming contests.
B loves to debug his code. But before he runs the solution and starts debugging, he has to first compile the code.
Initially, the compiler displayed *n* compilation errors, each of them is represented as a positive integer. After some effort, B managed to fix some mistake and then another one mistake.
However, despite the fact that B is sure that he corrected the two errors, he can not understand exactly what compilation errors disappeared — the compiler of the language which B uses shows errors in the new order every time! B is sure that unlike many other programming languages, compilation errors for his programming language do not depend on each other, that is, if you correct one error, the set of other error does not change.
Can you help B find out exactly what two errors he corrected?
Input Specification:
The first line of the input contains integer *n* (3<=≤<=*n*<=≤<=105) — the initial number of compilation errors.
The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the errors the compiler displayed for the first time.
The third line contains *n*<=-<=1 space-separated integers *b*1,<=*b*2,<=...,<=*b**n*<=-<=1 — the errors displayed at the second compilation. It is guaranteed that the sequence in the third line contains all numbers of the second string except for exactly one.
The fourth line contains *n*<=-<=2 space-separated integers *с*1,<=*с*2,<=...,<=*с**n*<=-<=2 — the errors displayed at the third compilation. It is guaranteed that the sequence in the fourth line contains all numbers of the third line except for exactly one.
Output Specification:
Print two numbers on a single line: the numbers of the compilation errors that disappeared after B made the first and the second correction, respectively.
Demo Input:
['5\n1 5 8 123 7\n123 7 5 1\n5 1 7\n', '6\n1 4 3 3 5 7\n3 7 5 4 3\n4 3 7 5\n']
Demo Output:
['8\n123\n', '1\n3\n']
Note:
In the first test sample B first corrects the error number 8, then the error number 123.
In the second test sample B first corrects the error number 1, then the error number 3. Note that if there are multiple errors with the same number, B can correct only one of them in one step. | ```python
def task():
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
c = list(map(int, input().split()))
a_sum = 0
for i in a:
a_sum += i
b_sum = 0
for i in b:
b_sum += i
c_sum = 0
for i in c:
c_sum += i
print(a_sum - b_sum)
print(b_sum - c_sum)
if __name__ == '__main__':
task()
``` | 3 | |
139 | A | Petr and Book | PROGRAMMING | 1,000 | [
"implementation"
] | null | null | One Sunday Petr went to a bookshop and bought a new book on sports programming. The book had exactly *n* pages.
Petr decided to start reading it starting from the next day, that is, from Monday. Petr's got a very tight schedule and for each day of the week he knows how many pages he will be able to read on that day. Some days are so busy that Petr will have no time to read whatsoever. However, we know that he will be able to read at least one page a week.
Assuming that Petr will not skip days and will read as much as he can every day, determine on which day of the week he will read the last page of the book. | The first input line contains the single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of pages in the book.
The second line contains seven non-negative space-separated integers that do not exceed 1000 — those integers represent how many pages Petr can read on Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday correspondingly. It is guaranteed that at least one of those numbers is larger than zero. | Print a single number — the number of the day of the week, when Petr will finish reading the book. The days of the week are numbered starting with one in the natural order: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday. | [
"100\n15 20 20 15 10 30 45\n",
"2\n1 0 0 0 0 0 0\n"
] | [
"6\n",
"1\n"
] | Note to the first sample:
By the end of Monday and therefore, by the beginning of Tuesday Petr has 85 pages left. He has 65 pages left by Wednesday, 45 by Thursday, 30 by Friday, 20 by Saturday and on Saturday Petr finishes reading the book (and he also has time to read 10 pages of something else).
Note to the second sample:
On Monday of the first week Petr will read the first page. On Monday of the second week Petr will read the second page and will finish reading the book. | 500 | [
{
"input": "100\n15 20 20 15 10 30 45",
"output": "6"
},
{
"input": "2\n1 0 0 0 0 0 0",
"output": "1"
},
{
"input": "100\n100 200 100 200 300 400 500",
"output": "1"
},
{
"input": "3\n1 1 1 1 1 1 1",
"output": "3"
},
{
"input": "1\n1 1 1 1 1 1 1",
"output": "1... | 1,604,491,203 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 12 | 186 | 0 | pages = int(input())
daily_read = list(map(int, input().split()))
index = 0
while pages > 0:
pages -= daily_read[index]
if index == 6:
index = 0
else:
index += 1
print(index) | Title: Petr and Book
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One Sunday Petr went to a bookshop and bought a new book on sports programming. The book had exactly *n* pages.
Petr decided to start reading it starting from the next day, that is, from Monday. Petr's got a very tight schedule and for each day of the week he knows how many pages he will be able to read on that day. Some days are so busy that Petr will have no time to read whatsoever. However, we know that he will be able to read at least one page a week.
Assuming that Petr will not skip days and will read as much as he can every day, determine on which day of the week he will read the last page of the book.
Input Specification:
The first input line contains the single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of pages in the book.
The second line contains seven non-negative space-separated integers that do not exceed 1000 — those integers represent how many pages Petr can read on Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday correspondingly. It is guaranteed that at least one of those numbers is larger than zero.
Output Specification:
Print a single number — the number of the day of the week, when Petr will finish reading the book. The days of the week are numbered starting with one in the natural order: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.
Demo Input:
['100\n15 20 20 15 10 30 45\n', '2\n1 0 0 0 0 0 0\n']
Demo Output:
['6\n', '1\n']
Note:
Note to the first sample:
By the end of Monday and therefore, by the beginning of Tuesday Petr has 85 pages left. He has 65 pages left by Wednesday, 45 by Thursday, 30 by Friday, 20 by Saturday and on Saturday Petr finishes reading the book (and he also has time to read 10 pages of something else).
Note to the second sample:
On Monday of the first week Petr will read the first page. On Monday of the second week Petr will read the second page and will finish reading the book. | ```python
pages = int(input())
daily_read = list(map(int, input().split()))
index = 0
while pages > 0:
pages -= daily_read[index]
if index == 6:
index = 0
else:
index += 1
print(index)
``` | 0 | |
680 | A | Bear and Five Cards | PROGRAMMING | 800 | [
"constructive algorithms",
"implementation"
] | null | null | A little bear Limak plays a game. He has five cards. There is one number written on each card. Each number is a positive integer.
Limak can discard (throw out) some cards. His goal is to minimize the sum of numbers written on remaining (not discarded) cards.
He is allowed to at most once discard two or three cards with the same number. Of course, he won't discard cards if it's impossible to choose two or three cards with the same number.
Given five numbers written on cards, cay you find the minimum sum of numbers on remaining cards? | The only line of the input contains five integers *t*1, *t*2, *t*3, *t*4 and *t*5 (1<=≤<=*t**i*<=≤<=100) — numbers written on cards. | Print the minimum possible sum of numbers written on remaining cards. | [
"7 3 7 3 20\n",
"7 9 3 1 8\n",
"10 10 10 10 10\n"
] | [
"26\n",
"28\n",
"20\n"
] | In the first sample, Limak has cards with numbers 7, 3, 7, 3 and 20. Limak can do one of the following.
- Do nothing and the sum would be 7 + 3 + 7 + 3 + 20 = 40. - Remove two cards with a number 7. The remaining sum would be 3 + 3 + 20 = 26. - Remove two cards with a number 3. The remaining sum would be 7 + 7 + 20 = 34.
You are asked to minimize the sum so the answer is 26.
In the second sample, it's impossible to find two or three cards with the same number. Hence, Limak does nothing and the sum is 7 + 9 + 1 + 3 + 8 = 28.
In the third sample, all cards have the same number. It's optimal to discard any three cards. The sum of two remaining numbers is 10 + 10 = 20. | 500 | [
{
"input": "7 3 7 3 20",
"output": "26"
},
{
"input": "7 9 3 1 8",
"output": "28"
},
{
"input": "10 10 10 10 10",
"output": "20"
},
{
"input": "8 7 1 8 7",
"output": "15"
},
{
"input": "7 7 7 8 8",
"output": "16"
},
{
"input": "8 8 8 2 2",
"output"... | 1,632,843,550 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 6 | 46 | 6,963,200 | a=[int(a) for a in input().split()]
maxi=0
f=0
for i in range(5):
if a.count(a[i])>2:
s=sum(a)-(a[i]*3)
f=1
break
elif a.count(a[i])==2:
if a[i]*2>maxi:
maxi=a[i]*2
if f==1:
print(s)
else:
print(sum(a)-maxi) | Title: Bear and Five Cards
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A little bear Limak plays a game. He has five cards. There is one number written on each card. Each number is a positive integer.
Limak can discard (throw out) some cards. His goal is to minimize the sum of numbers written on remaining (not discarded) cards.
He is allowed to at most once discard two or three cards with the same number. Of course, he won't discard cards if it's impossible to choose two or three cards with the same number.
Given five numbers written on cards, cay you find the minimum sum of numbers on remaining cards?
Input Specification:
The only line of the input contains five integers *t*1, *t*2, *t*3, *t*4 and *t*5 (1<=≤<=*t**i*<=≤<=100) — numbers written on cards.
Output Specification:
Print the minimum possible sum of numbers written on remaining cards.
Demo Input:
['7 3 7 3 20\n', '7 9 3 1 8\n', '10 10 10 10 10\n']
Demo Output:
['26\n', '28\n', '20\n']
Note:
In the first sample, Limak has cards with numbers 7, 3, 7, 3 and 20. Limak can do one of the following.
- Do nothing and the sum would be 7 + 3 + 7 + 3 + 20 = 40. - Remove two cards with a number 7. The remaining sum would be 3 + 3 + 20 = 26. - Remove two cards with a number 3. The remaining sum would be 7 + 7 + 20 = 34.
You are asked to minimize the sum so the answer is 26.
In the second sample, it's impossible to find two or three cards with the same number. Hence, Limak does nothing and the sum is 7 + 9 + 1 + 3 + 8 = 28.
In the third sample, all cards have the same number. It's optimal to discard any three cards. The sum of two remaining numbers is 10 + 10 = 20. | ```python
a=[int(a) for a in input().split()]
maxi=0
f=0
for i in range(5):
if a.count(a[i])>2:
s=sum(a)-(a[i]*3)
f=1
break
elif a.count(a[i])==2:
if a[i]*2>maxi:
maxi=a[i]*2
if f==1:
print(s)
else:
print(sum(a)-maxi)
``` | 0 | |
761 | A | Dasha and Stairs | PROGRAMMING | 1,000 | [
"brute force",
"constructive algorithms",
"implementation",
"math"
] | null | null | On her way to programming school tiger Dasha faced her first test — a huge staircase!
The steps were numbered from one to infinity. As we know, tigers are very fond of all striped things, it is possible that it has something to do with their color. So on some interval of her way she calculated two values — the number of steps with even and odd numbers.
You need to check whether there is an interval of steps from the *l*-th to the *r*-th (1<=≤<=*l*<=≤<=*r*), for which values that Dasha has found are correct. | In the only line you are given two integers *a*, *b* (0<=≤<=*a*,<=*b*<=≤<=100) — the number of even and odd steps, accordingly. | In the only line print "YES", if the interval of steps described above exists, and "NO" otherwise. | [
"2 3\n",
"3 1\n"
] | [
"YES\n",
"NO\n"
] | In the first example one of suitable intervals is from 1 to 5. The interval contains two even steps — 2 and 4, and three odd: 1, 3 and 5. | 500 | [
{
"input": "2 3",
"output": "YES"
},
{
"input": "3 1",
"output": "NO"
},
{
"input": "5 4",
"output": "YES"
},
{
"input": "9 9",
"output": "YES"
},
{
"input": "85 95",
"output": "NO"
},
{
"input": "0 1",
"output": "YES"
},
{
"input": "89 25"... | 1,489,270,487 | 2,147,483,647 | Python 3 | OK | TESTS | 21 | 46 | 4,608,000 | '''input
0 1
'''
a, b = map(int, input().split())
if a == 0 and b == 0:
print("NO")
elif abs(a - b) <= 1:
print("YES")
else:
print("NO")
| Title: Dasha and Stairs
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
On her way to programming school tiger Dasha faced her first test — a huge staircase!
The steps were numbered from one to infinity. As we know, tigers are very fond of all striped things, it is possible that it has something to do with their color. So on some interval of her way she calculated two values — the number of steps with even and odd numbers.
You need to check whether there is an interval of steps from the *l*-th to the *r*-th (1<=≤<=*l*<=≤<=*r*), for which values that Dasha has found are correct.
Input Specification:
In the only line you are given two integers *a*, *b* (0<=≤<=*a*,<=*b*<=≤<=100) — the number of even and odd steps, accordingly.
Output Specification:
In the only line print "YES", if the interval of steps described above exists, and "NO" otherwise.
Demo Input:
['2 3\n', '3 1\n']
Demo Output:
['YES\n', 'NO\n']
Note:
In the first example one of suitable intervals is from 1 to 5. The interval contains two even steps — 2 and 4, and three odd: 1, 3 and 5. | ```python
'''input
0 1
'''
a, b = map(int, input().split())
if a == 0 and b == 0:
print("NO")
elif abs(a - b) <= 1:
print("YES")
else:
print("NO")
``` | 3 | |
58 | A | Chat room | PROGRAMMING | 1,000 | [
"greedy",
"strings"
] | A. Chat room | 1 | 256 | Vasya has recently learned to type and log on to the Internet. He immediately entered a chat room and decided to say hello to everybody. Vasya typed the word *s*. It is considered that Vasya managed to say hello if several letters can be deleted from the typed word so that it resulted in the word "hello". For example, if Vasya types the word "ahhellllloou", it will be considered that he said hello, and if he types "hlelo", it will be considered that Vasya got misunderstood and he didn't manage to say hello. Determine whether Vasya managed to say hello by the given word *s*. | The first and only line contains the word *s*, which Vasya typed. This word consisits of small Latin letters, its length is no less that 1 and no more than 100 letters. | If Vasya managed to say hello, print "YES", otherwise print "NO". | [
"ahhellllloou\n",
"hlelo\n"
] | [
"YES\n",
"NO\n"
] | none | 500 | [
{
"input": "ahhellllloou",
"output": "YES"
},
{
"input": "hlelo",
"output": "NO"
},
{
"input": "helhcludoo",
"output": "YES"
},
{
"input": "hehwelloho",
"output": "YES"
},
{
"input": "pnnepelqomhhheollvlo",
"output": "YES"
},
{
"input": "tymbzjyqhymeda... | 1,593,243,004 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 19 | 109 | 6,963,200 | s=input()
n=len(s)
h,e,l1,l2,o=n+1,n+1,n+1,n+1,n+1
if('h' not in s or 'e' not in s or 'o' not in s or s.count('l')<2):
print("NO")
exit(0)
s=list(s)
temp=s[::-1]
h=s.index('h')
for i in range(len(s)):
if(s[i]=='e' and i>h):
e=i
#e=s.index('e')
o=len(temp)-temp.index('o')-1
for i in range(len(s)):
if(s[i]=='l' and i>e):
l1=i
break
for i in range(len(s)):
if(s[i]=='l' and i!=l1):
l2=i
#print(h,e,l1,l2,o)
if((h<e) and (e<l1) and (l1<l2) and (l2<o)):
print("YES")
else:
print("NO") | Title: Chat room
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Vasya has recently learned to type and log on to the Internet. He immediately entered a chat room and decided to say hello to everybody. Vasya typed the word *s*. It is considered that Vasya managed to say hello if several letters can be deleted from the typed word so that it resulted in the word "hello". For example, if Vasya types the word "ahhellllloou", it will be considered that he said hello, and if he types "hlelo", it will be considered that Vasya got misunderstood and he didn't manage to say hello. Determine whether Vasya managed to say hello by the given word *s*.
Input Specification:
The first and only line contains the word *s*, which Vasya typed. This word consisits of small Latin letters, its length is no less that 1 and no more than 100 letters.
Output Specification:
If Vasya managed to say hello, print "YES", otherwise print "NO".
Demo Input:
['ahhellllloou\n', 'hlelo\n']
Demo Output:
['YES\n', 'NO\n']
Note:
none | ```python
s=input()
n=len(s)
h,e,l1,l2,o=n+1,n+1,n+1,n+1,n+1
if('h' not in s or 'e' not in s or 'o' not in s or s.count('l')<2):
print("NO")
exit(0)
s=list(s)
temp=s[::-1]
h=s.index('h')
for i in range(len(s)):
if(s[i]=='e' and i>h):
e=i
#e=s.index('e')
o=len(temp)-temp.index('o')-1
for i in range(len(s)):
if(s[i]=='l' and i>e):
l1=i
break
for i in range(len(s)):
if(s[i]=='l' and i!=l1):
l2=i
#print(h,e,l1,l2,o)
if((h<e) and (e<l1) and (l1<l2) and (l2<o)):
print("YES")
else:
print("NO")
``` | 0 |
251 | A | Points on Line | PROGRAMMING | 1,300 | [
"binary search",
"combinatorics",
"two pointers"
] | null | null | Little Petya likes points a lot. Recently his mom has presented him *n* points lying on the line *OX*. Now Petya is wondering in how many ways he can choose three distinct points so that the distance between the two farthest of them doesn't exceed *d*.
Note that the order of the points inside the group of three chosen points doesn't matter. | The first line contains two integers: *n* and *d* (1<=≤<=*n*<=≤<=105; 1<=≤<=*d*<=≤<=109). The next line contains *n* integers *x*1,<=*x*2,<=...,<=*x**n*, their absolute value doesn't exceed 109 — the *x*-coordinates of the points that Petya has got.
It is guaranteed that the coordinates of the points in the input strictly increase. | Print a single integer — the number of groups of three points, where the distance between two farthest points doesn't exceed *d*.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier. | [
"4 3\n1 2 3 4\n",
"4 2\n-3 -2 -1 0\n",
"5 19\n1 10 20 30 50\n"
] | [
"4\n",
"2\n",
"1\n"
] | In the first sample any group of three points meets our conditions.
In the seconds sample only 2 groups of three points meet our conditions: {-3, -2, -1} and {-2, -1, 0}.
In the third sample only one group does: {1, 10, 20}. | 500 | [
{
"input": "4 3\n1 2 3 4",
"output": "4"
},
{
"input": "4 2\n-3 -2 -1 0",
"output": "2"
},
{
"input": "5 19\n1 10 20 30 50",
"output": "1"
},
{
"input": "10 5\n31 36 43 47 48 50 56 69 71 86",
"output": "2"
},
{
"input": "10 50\n1 4 20 27 65 79 82 83 99 100",
"... | 1,459,908,725 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 17 | 2,000 | 13,004,800 | def groups(points, dist):
n_groups = 0
head = 0
for i in range(2, len(points)):
for j in range(head, i):
if points[i] - points[j] <= dist:
m = i - j
n_groups += m*(m-1)//2
head = j
break
return n_groups
(n, d) = map(int, input().split())
points = list(map(int, input().split()))
print(groups(points, d))
| Title: Points on Line
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Little Petya likes points a lot. Recently his mom has presented him *n* points lying on the line *OX*. Now Petya is wondering in how many ways he can choose three distinct points so that the distance between the two farthest of them doesn't exceed *d*.
Note that the order of the points inside the group of three chosen points doesn't matter.
Input Specification:
The first line contains two integers: *n* and *d* (1<=≤<=*n*<=≤<=105; 1<=≤<=*d*<=≤<=109). The next line contains *n* integers *x*1,<=*x*2,<=...,<=*x**n*, their absolute value doesn't exceed 109 — the *x*-coordinates of the points that Petya has got.
It is guaranteed that the coordinates of the points in the input strictly increase.
Output Specification:
Print a single integer — the number of groups of three points, where the distance between two farthest points doesn't exceed *d*.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.
Demo Input:
['4 3\n1 2 3 4\n', '4 2\n-3 -2 -1 0\n', '5 19\n1 10 20 30 50\n']
Demo Output:
['4\n', '2\n', '1\n']
Note:
In the first sample any group of three points meets our conditions.
In the seconds sample only 2 groups of three points meet our conditions: {-3, -2, -1} and {-2, -1, 0}.
In the third sample only one group does: {1, 10, 20}. | ```python
def groups(points, dist):
n_groups = 0
head = 0
for i in range(2, len(points)):
for j in range(head, i):
if points[i] - points[j] <= dist:
m = i - j
n_groups += m*(m-1)//2
head = j
break
return n_groups
(n, d) = map(int, input().split())
points = list(map(int, input().split()))
print(groups(points, d))
``` | 0 | |
0 | none | none | none | 0 | [
"none"
] | null | null | There is a right triangle with legs of length *a* and *b*. Your task is to determine whether it is possible to locate the triangle on the plane in such a way that none of its sides is parallel to the coordinate axes. All the vertices must have integer coordinates. If there exists such a location, you have to output the appropriate coordinates of vertices. | The first line contains two integers *a*,<=*b* (1<=≤<=*a*,<=*b*<=≤<=1000), separated by a single space. | In the first line print either "YES" or "NO" (without the quotes) depending on whether the required location exists. If it does, print in the next three lines three pairs of integers — the coordinates of the triangle vertices, one pair per line. The coordinates must be integers, not exceeding 109 in their absolute value. | [
"1 1\n",
"5 5\n",
"5 10\n"
] | [
"NO\n",
"YES\n2 1\n5 5\n-2 4\n",
"YES\n-10 4\n-2 -2\n1 2\n"
] | none | 0 | [
{
"input": "1 1",
"output": "NO"
},
{
"input": "5 5",
"output": "YES\n2 1\n5 5\n-2 4"
},
{
"input": "5 10",
"output": "YES\n-10 4\n-2 -2\n1 2"
},
{
"input": "2 2",
"output": "NO"
},
{
"input": "5 6",
"output": "NO"
},
{
"input": "5 11",
"output": "... | 1,581,783,930 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 11 | 109 | 307,200 | def t1(A,B):
from math import sqrt
small = 0.000000001
for x1 in range(1, A):
y1 = sqrt(A*A-x1*x1)
if abs(y1-round(y1)) < small:
y1 = round(y1)
x2 = B/A*y1
y2 = B/A*-x1
if abs(x2-round(x2)) < small and abs(y2-round(y2)) < small:
x2 = round(x2)
y2 = round(y2)
print("YES")
print(0,0)
print(x1,int(y1))
print(int(x2),int(y2))
return
print("NO")
A,B=[int(i) for i in input().split(" ")]
t1(A,B)
| Title: none
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There is a right triangle with legs of length *a* and *b*. Your task is to determine whether it is possible to locate the triangle on the plane in such a way that none of its sides is parallel to the coordinate axes. All the vertices must have integer coordinates. If there exists such a location, you have to output the appropriate coordinates of vertices.
Input Specification:
The first line contains two integers *a*,<=*b* (1<=≤<=*a*,<=*b*<=≤<=1000), separated by a single space.
Output Specification:
In the first line print either "YES" or "NO" (without the quotes) depending on whether the required location exists. If it does, print in the next three lines three pairs of integers — the coordinates of the triangle vertices, one pair per line. The coordinates must be integers, not exceeding 109 in their absolute value.
Demo Input:
['1 1\n', '5 5\n', '5 10\n']
Demo Output:
['NO\n', 'YES\n2 1\n5 5\n-2 4\n', 'YES\n-10 4\n-2 -2\n1 2\n']
Note:
none | ```python
def t1(A,B):
from math import sqrt
small = 0.000000001
for x1 in range(1, A):
y1 = sqrt(A*A-x1*x1)
if abs(y1-round(y1)) < small:
y1 = round(y1)
x2 = B/A*y1
y2 = B/A*-x1
if abs(x2-round(x2)) < small and abs(y2-round(y2)) < small:
x2 = round(x2)
y2 = round(y2)
print("YES")
print(0,0)
print(x1,int(y1))
print(int(x2),int(y2))
return
print("NO")
A,B=[int(i) for i in input().split(" ")]
t1(A,B)
``` | 0 | |
792 | B | Counting-out Rhyme | PROGRAMMING | 1,300 | [
"implementation"
] | null | null | *n* children are standing in a circle and playing the counting-out game. Children are numbered clockwise from 1 to *n*. In the beginning, the first child is considered the leader. The game is played in *k* steps. In the *i*-th step the leader counts out *a**i* people in clockwise order, starting from the next person. The last one to be pointed at by the leader is eliminated, and the next player after him becomes the new leader.
For example, if there are children with numbers [8,<=10,<=13,<=14,<=16] currently in the circle, the leader is child 13 and *a**i*<==<=12, then counting-out rhyme ends on child 16, who is eliminated. Child 8 becomes the leader.
You have to write a program which prints the number of the child to be eliminated on every step. | The first line contains two integer numbers *n* and *k* (2<=≤<=*n*<=≤<=100, 1<=≤<=*k*<=≤<=*n*<=-<=1).
The next line contains *k* integer numbers *a*1,<=*a*2,<=...,<=*a**k* (1<=≤<=*a**i*<=≤<=109). | Print *k* numbers, the *i*-th one corresponds to the number of child to be eliminated at the *i*-th step. | [
"7 5\n10 4 11 4 1\n",
"3 2\n2 5\n"
] | [
"4 2 5 6 1 \n",
"3 2 \n"
] | Let's consider first example:
- In the first step child 4 is eliminated, child 5 becomes the leader. - In the second step child 2 is eliminated, child 3 becomes the leader. - In the third step child 5 is eliminated, child 6 becomes the leader. - In the fourth step child 6 is eliminated, child 7 becomes the leader. - In the final step child 1 is eliminated, child 3 becomes the leader. | 0 | [
{
"input": "7 5\n10 4 11 4 1",
"output": "4 2 5 6 1 "
},
{
"input": "3 2\n2 5",
"output": "3 2 "
},
{
"input": "2 1\n1",
"output": "2 "
},
{
"input": "2 1\n2",
"output": "1 "
},
{
"input": "2 1\n3",
"output": "2 "
},
{
"input": "10 7\n5 10 4 3 8 10 6",... | 1,635,510,494 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 31 | 4,300,800 | num = 0
while num<20:
print(num)
num = num +1 | Title: Counting-out Rhyme
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
*n* children are standing in a circle and playing the counting-out game. Children are numbered clockwise from 1 to *n*. In the beginning, the first child is considered the leader. The game is played in *k* steps. In the *i*-th step the leader counts out *a**i* people in clockwise order, starting from the next person. The last one to be pointed at by the leader is eliminated, and the next player after him becomes the new leader.
For example, if there are children with numbers [8,<=10,<=13,<=14,<=16] currently in the circle, the leader is child 13 and *a**i*<==<=12, then counting-out rhyme ends on child 16, who is eliminated. Child 8 becomes the leader.
You have to write a program which prints the number of the child to be eliminated on every step.
Input Specification:
The first line contains two integer numbers *n* and *k* (2<=≤<=*n*<=≤<=100, 1<=≤<=*k*<=≤<=*n*<=-<=1).
The next line contains *k* integer numbers *a*1,<=*a*2,<=...,<=*a**k* (1<=≤<=*a**i*<=≤<=109).
Output Specification:
Print *k* numbers, the *i*-th one corresponds to the number of child to be eliminated at the *i*-th step.
Demo Input:
['7 5\n10 4 11 4 1\n', '3 2\n2 5\n']
Demo Output:
['4 2 5 6 1 \n', '3 2 \n']
Note:
Let's consider first example:
- In the first step child 4 is eliminated, child 5 becomes the leader. - In the second step child 2 is eliminated, child 3 becomes the leader. - In the third step child 5 is eliminated, child 6 becomes the leader. - In the fourth step child 6 is eliminated, child 7 becomes the leader. - In the final step child 1 is eliminated, child 3 becomes the leader. | ```python
num = 0
while num<20:
print(num)
num = num +1
``` | 0 | |
9 | A | Die Roll | PROGRAMMING | 800 | [
"math",
"probabilities"
] | A. Die Roll | 1 | 64 | Yakko, Wakko and Dot, world-famous animaniacs, decided to rest from acting in cartoons, and take a leave to travel a bit. Yakko dreamt to go to Pennsylvania, his Motherland and the Motherland of his ancestors. Wakko thought about Tasmania, its beaches, sun and sea. Dot chose Transylvania as the most mysterious and unpredictable place.
But to their great regret, the leave turned to be very short, so it will be enough to visit one of the three above named places. That's why Yakko, as the cleverest, came up with a truly genius idea: let each of the three roll an ordinary six-sided die, and the one with the highest amount of points will be the winner, and will take the other two to the place of his/her dreams.
Yakko thrown a die and got Y points, Wakko — W points. It was Dot's turn. But she didn't hurry. Dot wanted to know for sure what were her chances to visit Transylvania.
It is known that Yakko and Wakko are true gentlemen, that's why if they have the same amount of points with Dot, they will let Dot win. | The only line of the input file contains two natural numbers Y and W — the results of Yakko's and Wakko's die rolls. | Output the required probability in the form of irreducible fraction in format «A/B», where A — the numerator, and B — the denominator. If the required probability equals to zero, output «0/1». If the required probability equals to 1, output «1/1». | [
"4 2\n"
] | [
"1/2\n"
] | Dot will go to Transylvania, if she is lucky to roll 4, 5 or 6 points. | 0 | [
{
"input": "4 2",
"output": "1/2"
},
{
"input": "1 1",
"output": "1/1"
},
{
"input": "1 2",
"output": "5/6"
},
{
"input": "1 3",
"output": "2/3"
},
{
"input": "1 4",
"output": "1/2"
},
{
"input": "1 5",
"output": "1/3"
},
{
"input": "1 6",
... | 1,627,157,188 | 2,147,483,647 | Python 3 | OK | TESTS | 36 | 124 | 6,758,400 | [Y,W] = map(int, input().split())
c = max(Y,W)
msgs = ["1/1", "5/6", "2/3", "1/2", "1/3", "1/6"]
print (msgs[c-1]) | Title: Die Roll
Time Limit: 1 seconds
Memory Limit: 64 megabytes
Problem Description:
Yakko, Wakko and Dot, world-famous animaniacs, decided to rest from acting in cartoons, and take a leave to travel a bit. Yakko dreamt to go to Pennsylvania, his Motherland and the Motherland of his ancestors. Wakko thought about Tasmania, its beaches, sun and sea. Dot chose Transylvania as the most mysterious and unpredictable place.
But to their great regret, the leave turned to be very short, so it will be enough to visit one of the three above named places. That's why Yakko, as the cleverest, came up with a truly genius idea: let each of the three roll an ordinary six-sided die, and the one with the highest amount of points will be the winner, and will take the other two to the place of his/her dreams.
Yakko thrown a die and got Y points, Wakko — W points. It was Dot's turn. But she didn't hurry. Dot wanted to know for sure what were her chances to visit Transylvania.
It is known that Yakko and Wakko are true gentlemen, that's why if they have the same amount of points with Dot, they will let Dot win.
Input Specification:
The only line of the input file contains two natural numbers Y and W — the results of Yakko's and Wakko's die rolls.
Output Specification:
Output the required probability in the form of irreducible fraction in format «A/B», where A — the numerator, and B — the denominator. If the required probability equals to zero, output «0/1». If the required probability equals to 1, output «1/1».
Demo Input:
['4 2\n']
Demo Output:
['1/2\n']
Note:
Dot will go to Transylvania, if she is lucky to roll 4, 5 or 6 points. | ```python
[Y,W] = map(int, input().split())
c = max(Y,W)
msgs = ["1/1", "5/6", "2/3", "1/2", "1/3", "1/6"]
print (msgs[c-1])
``` | 3.887646 |
71 | A | Way Too Long Words | PROGRAMMING | 800 | [
"strings"
] | A. Way Too Long Words | 1 | 256 | Sometimes some words like "localization" or "internationalization" are so long that writing them many times in one text is quite tiresome.
Let's consider a word too long, if its length is strictly more than 10 characters. All too long words should be replaced with a special abbreviation.
This abbreviation is made like this: we write down the first and the last letter of a word and between them we write the number of letters between the first and the last letters. That number is in decimal system and doesn't contain any leading zeroes.
Thus, "localization" will be spelt as "l10n", and "internationalization» will be spelt as "i18n".
You are suggested to automatize the process of changing the words with abbreviations. At that all too long words should be replaced by the abbreviation and the words that are not too long should not undergo any changes. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=100). Each of the following *n* lines contains one word. All the words consist of lowercase Latin letters and possess the lengths of from 1 to 100 characters. | Print *n* lines. The *i*-th line should contain the result of replacing of the *i*-th word from the input data. | [
"4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis\n"
] | [
"word\nl10n\ni18n\np43s\n"
] | none | 500 | [
{
"input": "4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis",
"output": "word\nl10n\ni18n\np43s"
},
{
"input": "5\nabcdefgh\nabcdefghi\nabcdefghij\nabcdefghijk\nabcdefghijklm",
"output": "abcdefgh\nabcdefghi\nabcdefghij\na9k\na11m"
},
{
"input":... | 1,691,135,550 | 2,147,483,647 | Python 3 | OK | TESTS | 20 | 46 | 0 | def too_long(w):
if len(w) > 10:
return(f"{w[0]}{len(w)-2}{w[-1]}")
else :
return(w)
L=[]
nOfWord = int(input())
while nOfWord != 0 :
w = str(input())
L.append(too_long(w))
nOfWord-=1
for i in L:
print(i)
| Title: Way Too Long Words
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Sometimes some words like "localization" or "internationalization" are so long that writing them many times in one text is quite tiresome.
Let's consider a word too long, if its length is strictly more than 10 characters. All too long words should be replaced with a special abbreviation.
This abbreviation is made like this: we write down the first and the last letter of a word and between them we write the number of letters between the first and the last letters. That number is in decimal system and doesn't contain any leading zeroes.
Thus, "localization" will be spelt as "l10n", and "internationalization» will be spelt as "i18n".
You are suggested to automatize the process of changing the words with abbreviations. At that all too long words should be replaced by the abbreviation and the words that are not too long should not undergo any changes.
Input Specification:
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100). Each of the following *n* lines contains one word. All the words consist of lowercase Latin letters and possess the lengths of from 1 to 100 characters.
Output Specification:
Print *n* lines. The *i*-th line should contain the result of replacing of the *i*-th word from the input data.
Demo Input:
['4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis\n']
Demo Output:
['word\nl10n\ni18n\np43s\n']
Note:
none | ```python
def too_long(w):
if len(w) > 10:
return(f"{w[0]}{len(w)-2}{w[-1]}")
else :
return(w)
L=[]
nOfWord = int(input())
while nOfWord != 0 :
w = str(input())
L.append(too_long(w))
nOfWord-=1
for i in L:
print(i)
``` | 3.977 |
460 | A | Vasya and Socks | PROGRAMMING | 900 | [
"brute force",
"implementation",
"math"
] | null | null | Vasya has *n* pairs of socks. In the morning of each day Vasya has to put on a pair of socks before he goes to school. When he comes home in the evening, Vasya takes off the used socks and throws them away. Every *m*-th day (at days with numbers *m*,<=2*m*,<=3*m*,<=...) mom buys a pair of socks to Vasya. She does it late in the evening, so that Vasya cannot put on a new pair of socks before the next day. How many consecutive days pass until Vasya runs out of socks? | The single line contains two integers *n* and *m* (1<=≤<=*n*<=≤<=100; 2<=≤<=*m*<=≤<=100), separated by a space. | Print a single integer — the answer to the problem. | [
"2 2\n",
"9 3\n"
] | [
"3\n",
"13\n"
] | In the first sample Vasya spends the first two days wearing the socks that he had initially. Then on day three he puts on the socks that were bought on day two.
In the second sample Vasya spends the first nine days wearing the socks that he had initially. Then he spends three days wearing the socks that were bought on the third, sixth and ninth days. Than he spends another day wearing the socks that were bought on the twelfth day. | 500 | [
{
"input": "2 2",
"output": "3"
},
{
"input": "9 3",
"output": "13"
},
{
"input": "1 2",
"output": "1"
},
{
"input": "2 3",
"output": "2"
},
{
"input": "1 99",
"output": "1"
},
{
"input": "4 4",
"output": "5"
},
{
"input": "10 2",
"outp... | 1,666,237,396 | 2,147,483,647 | Python 3 | OK | TESTS | 26 | 61 | 0 | s = input().split(" ")
n = int(s[0])
m = int(s[1])
t = 0
while n>0:
t += 1
n -= 1
if t % m == 0:
n+=1
print(t)
| Title: Vasya and Socks
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya has *n* pairs of socks. In the morning of each day Vasya has to put on a pair of socks before he goes to school. When he comes home in the evening, Vasya takes off the used socks and throws them away. Every *m*-th day (at days with numbers *m*,<=2*m*,<=3*m*,<=...) mom buys a pair of socks to Vasya. She does it late in the evening, so that Vasya cannot put on a new pair of socks before the next day. How many consecutive days pass until Vasya runs out of socks?
Input Specification:
The single line contains two integers *n* and *m* (1<=≤<=*n*<=≤<=100; 2<=≤<=*m*<=≤<=100), separated by a space.
Output Specification:
Print a single integer — the answer to the problem.
Demo Input:
['2 2\n', '9 3\n']
Demo Output:
['3\n', '13\n']
Note:
In the first sample Vasya spends the first two days wearing the socks that he had initially. Then on day three he puts on the socks that were bought on day two.
In the second sample Vasya spends the first nine days wearing the socks that he had initially. Then he spends three days wearing the socks that were bought on the third, sixth and ninth days. Than he spends another day wearing the socks that were bought on the twelfth day. | ```python
s = input().split(" ")
n = int(s[0])
m = int(s[1])
t = 0
while n>0:
t += 1
n -= 1
if t % m == 0:
n+=1
print(t)
``` | 3 | |
682 | B | Alyona and Mex | PROGRAMMING | 1,200 | [
"sortings"
] | null | null | Someone gave Alyona an array containing *n* positive integers *a*1,<=*a*2,<=...,<=*a**n*. In one operation, Alyona can choose any element of the array and decrease it, i.e. replace with any positive integer that is smaller than the current one. Alyona can repeat this operation as many times as she wants. In particular, she may not apply any operation to the array at all.
Formally, after applying some operations Alyona will get an array of *n* positive integers *b*1,<=*b*2,<=...,<=*b**n* such that 1<=≤<=*b**i*<=≤<=*a**i* for every 1<=≤<=*i*<=≤<=*n*. Your task is to determine the maximum possible value of mex of this array.
Mex of an array in this problem is the minimum positive integer that doesn't appear in this array. For example, mex of the array containing 1, 3 and 4 is equal to 2, while mex of the array containing 2, 3 and 2 is equal to 1. | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100<=000) — the number of elements in the Alyona's array.
The second line of the input contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the elements of the array. | Print one positive integer — the maximum possible value of mex of the array after Alyona applies some (possibly none) operations. | [
"5\n1 3 3 3 6\n",
"2\n2 1\n"
] | [
"5\n",
"3\n"
] | In the first sample case if one will decrease the second element value to 2 and the fifth element value to 4 then the mex value of resulting array 1 2 3 3 4 will be equal to 5.
To reach the answer to the second sample case one must not decrease any of the array elements. | 1,000 | [
{
"input": "5\n1 3 3 3 6",
"output": "5"
},
{
"input": "2\n2 1",
"output": "3"
},
{
"input": "1\n1",
"output": "2"
},
{
"input": "1\n1000000000",
"output": "2"
},
{
"input": "1\n2",
"output": "2"
},
{
"input": "2\n1 1",
"output": "2"
},
{
"... | 1,521,585,563 | 2,147,483,647 | Python 3 | OK | TESTS | 127 | 186 | 15,872,000 | IL = lambda: list(map(int, input().split()))
IS = lambda: input().split()
I = lambda: int(input())
S = lambda: input()
n = I()
a = IL()
a = sorted(a)
mex = 1
for i in range(n):
if a[i] >= mex:
mex += 1
print(mex) | Title: Alyona and Mex
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Someone gave Alyona an array containing *n* positive integers *a*1,<=*a*2,<=...,<=*a**n*. In one operation, Alyona can choose any element of the array and decrease it, i.e. replace with any positive integer that is smaller than the current one. Alyona can repeat this operation as many times as she wants. In particular, she may not apply any operation to the array at all.
Formally, after applying some operations Alyona will get an array of *n* positive integers *b*1,<=*b*2,<=...,<=*b**n* such that 1<=≤<=*b**i*<=≤<=*a**i* for every 1<=≤<=*i*<=≤<=*n*. Your task is to determine the maximum possible value of mex of this array.
Mex of an array in this problem is the minimum positive integer that doesn't appear in this array. For example, mex of the array containing 1, 3 and 4 is equal to 2, while mex of the array containing 2, 3 and 2 is equal to 1.
Input Specification:
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100<=000) — the number of elements in the Alyona's array.
The second line of the input contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the elements of the array.
Output Specification:
Print one positive integer — the maximum possible value of mex of the array after Alyona applies some (possibly none) operations.
Demo Input:
['5\n1 3 3 3 6\n', '2\n2 1\n']
Demo Output:
['5\n', '3\n']
Note:
In the first sample case if one will decrease the second element value to 2 and the fifth element value to 4 then the mex value of resulting array 1 2 3 3 4 will be equal to 5.
To reach the answer to the second sample case one must not decrease any of the array elements. | ```python
IL = lambda: list(map(int, input().split()))
IS = lambda: input().split()
I = lambda: int(input())
S = lambda: input()
n = I()
a = IL()
a = sorted(a)
mex = 1
for i in range(n):
if a[i] >= mex:
mex += 1
print(mex)
``` | 3 | |
304 | A | Pythagorean Theorem II | PROGRAMMING | 1,200 | [
"brute force",
"math"
] | null | null | In mathematics, the Pythagorean theorem — is a relation in Euclidean geometry among the three sides of a right-angled triangle. In terms of areas, it states:
In any right-angled triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).
The theorem can be written as an equation relating the lengths of the sides *a*, *b* and *c*, often called the Pythagorean equation:
where *c* represents the length of the hypotenuse, and *a* and *b* represent the lengths of the other two sides.
Given *n*, your task is to count how many right-angled triangles with side-lengths *a*, *b* and *c* that satisfied an inequality 1<=≤<=*a*<=≤<=*b*<=≤<=*c*<=≤<=*n*. | The only line contains one integer *n* (1<=≤<=*n*<=≤<=104) as we mentioned above. | Print a single integer — the answer to the problem. | [
"5\n",
"74\n"
] | [
"1\n",
"35\n"
] | none | 500 | [
{
"input": "5",
"output": "1"
},
{
"input": "74",
"output": "35"
},
{
"input": "1000",
"output": "881"
},
{
"input": "586",
"output": "472"
},
{
"input": "2",
"output": "0"
},
{
"input": "362",
"output": "258"
},
{
"input": "778",
"outp... | 1,369,330,501 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 30 | 3,000 | 0 | import math
n = int(input())
count = 0
for a in range(1,n+1):
for b in range(a,n+1):
c = int(math.sqrt(a*a + b*b));
if c*c == a*a + b*b and c <= n:
count = count + 1
print(count)
| Title: Pythagorean Theorem II
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
In mathematics, the Pythagorean theorem — is a relation in Euclidean geometry among the three sides of a right-angled triangle. In terms of areas, it states:
In any right-angled triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).
The theorem can be written as an equation relating the lengths of the sides *a*, *b* and *c*, often called the Pythagorean equation:
where *c* represents the length of the hypotenuse, and *a* and *b* represent the lengths of the other two sides.
Given *n*, your task is to count how many right-angled triangles with side-lengths *a*, *b* and *c* that satisfied an inequality 1<=≤<=*a*<=≤<=*b*<=≤<=*c*<=≤<=*n*.
Input Specification:
The only line contains one integer *n* (1<=≤<=*n*<=≤<=104) as we mentioned above.
Output Specification:
Print a single integer — the answer to the problem.
Demo Input:
['5\n', '74\n']
Demo Output:
['1\n', '35\n']
Note:
none | ```python
import math
n = int(input())
count = 0
for a in range(1,n+1):
for b in range(a,n+1):
c = int(math.sqrt(a*a + b*b));
if c*c == a*a + b*b and c <= n:
count = count + 1
print(count)
``` | 0 | |
717 | C | Potions Homework | PROGRAMMING | 1,200 | [
"implementation",
"sortings"
] | null | null | Harry Water, Ronaldo, Her-my-oh-knee and their friends have started a new school year at their MDCS School of Speechcraft and Misery. At the time, they are very happy to have seen each other after a long time. The sun is shining, birds are singing, flowers are blooming, and their Potions class teacher, professor Snipe is sulky as usual. Due to his angst fueled by disappointment in his own life, he has given them a lot of homework in Potions class.
Each of the *n* students has been assigned a single task. Some students do certain tasks faster than others. Thus, they want to redistribute the tasks so that each student still does exactly one task, and that all tasks are finished. Each student has their own laziness level, and each task has its own difficulty level. Professor Snipe is trying hard to improve their work ethics, so each student’s laziness level is equal to their task’s difficulty level. Both sets of values are given by the sequence *a*, where *a**i* represents both the laziness level of the *i*-th student and the difficulty of his task.
The time a student needs to finish a task is equal to the product of their laziness level and the task’s difficulty. They are wondering, what is the minimum possible total time they must spend to finish all tasks if they distribute them in the optimal way. Each person should receive one task and each task should be given to one person. Print the answer modulo 10<=007. | The first line of input contains integer *n* (1<=≤<=*n*<=≤<=100<=000) — the number of tasks. The next *n* lines contain exactly one integer number *a**i* (1<=≤<=*a**i*<=≤<=100<=000) — both the difficulty of the initial task and the laziness of the *i*-th students. | Print the minimum total time to finish all tasks modulo 10<=007. | [
"2\n1\n3\n"
] | [
"6\n"
] | In the first sample, if the students switch their tasks, they will be able to finish them in 3 + 3 = 6 time units. | 0 | [
{
"input": "2\n1\n3",
"output": "6"
}
] | 1,474,025,800 | 2,147,483,647 | Python 3 | OK | TESTS | 11 | 124 | 6,963,200 | from sys import stdin
input()
l = sorted(map(int, stdin.read().splitlines()))
print(sum(a * b for a, b in zip(l, reversed(l))) % 10007)
| Title: Potions Homework
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Harry Water, Ronaldo, Her-my-oh-knee and their friends have started a new school year at their MDCS School of Speechcraft and Misery. At the time, they are very happy to have seen each other after a long time. The sun is shining, birds are singing, flowers are blooming, and their Potions class teacher, professor Snipe is sulky as usual. Due to his angst fueled by disappointment in his own life, he has given them a lot of homework in Potions class.
Each of the *n* students has been assigned a single task. Some students do certain tasks faster than others. Thus, they want to redistribute the tasks so that each student still does exactly one task, and that all tasks are finished. Each student has their own laziness level, and each task has its own difficulty level. Professor Snipe is trying hard to improve their work ethics, so each student’s laziness level is equal to their task’s difficulty level. Both sets of values are given by the sequence *a*, where *a**i* represents both the laziness level of the *i*-th student and the difficulty of his task.
The time a student needs to finish a task is equal to the product of their laziness level and the task’s difficulty. They are wondering, what is the minimum possible total time they must spend to finish all tasks if they distribute them in the optimal way. Each person should receive one task and each task should be given to one person. Print the answer modulo 10<=007.
Input Specification:
The first line of input contains integer *n* (1<=≤<=*n*<=≤<=100<=000) — the number of tasks. The next *n* lines contain exactly one integer number *a**i* (1<=≤<=*a**i*<=≤<=100<=000) — both the difficulty of the initial task and the laziness of the *i*-th students.
Output Specification:
Print the minimum total time to finish all tasks modulo 10<=007.
Demo Input:
['2\n1\n3\n']
Demo Output:
['6\n']
Note:
In the first sample, if the students switch their tasks, they will be able to finish them in 3 + 3 = 6 time units. | ```python
from sys import stdin
input()
l = sorted(map(int, stdin.read().splitlines()))
print(sum(a * b for a, b in zip(l, reversed(l))) % 10007)
``` | 3 | |
540 | A | Combination Lock | PROGRAMMING | 800 | [
"implementation"
] | null | null | Scrooge McDuck keeps his most treasured savings in a home safe with a combination lock. Each time he wants to put there the treasures that he's earned fair and square, he has to open the lock.
The combination lock is represented by *n* rotating disks with digits from 0 to 9 written on them. Scrooge McDuck has to turn some disks so that the combination of digits on the disks forms a secret combination. In one move, he can rotate one disk one digit forwards or backwards. In particular, in one move he can go from digit 0 to digit 9 and vice versa. What minimum number of actions does he need for that? | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of disks on the combination lock.
The second line contains a string of *n* digits — the original state of the disks.
The third line contains a string of *n* digits — Scrooge McDuck's combination that opens the lock. | Print a single integer — the minimum number of moves Scrooge McDuck needs to open the lock. | [
"5\n82195\n64723\n"
] | [
"13\n"
] | In the sample he needs 13 moves:
- 1 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/b8967f65a723782358b93eff9ce69f336817cf70.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 2 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/07fa58573ece0d32c4d555e498d2b24d2f70f36a.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 3 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/cc2275d9252aae35a6867c6a5b4ba7596e9a7626.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 4 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/b100aea470fcaaab4e9529b234ba0d7875943c10.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 5 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/eb2cbe4324cebca65b85816262a85e473cd65967.png" style="max-width: 100.0%;max-height: 100.0%;"/> | 500 | [
{
"input": "5\n82195\n64723",
"output": "13"
},
{
"input": "12\n102021090898\n010212908089",
"output": "16"
},
{
"input": "1\n8\n1",
"output": "3"
},
{
"input": "2\n83\n57",
"output": "7"
},
{
"input": "10\n0728592530\n1362615763",
"output": "27"
},
{
... | 1,641,219,773 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 43 | 234 | 0 | n = int(input())
start = input()
end = input()
moves = 0
for index in range(len(start)):
s = int(start[index])
e = int(end[index])
direct = abs(e - s)
loop = s + 10 - e if e > s else e + 10 - s
moves += min(direct, loop)
print(moves) | Title: Combination Lock
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Scrooge McDuck keeps his most treasured savings in a home safe with a combination lock. Each time he wants to put there the treasures that he's earned fair and square, he has to open the lock.
The combination lock is represented by *n* rotating disks with digits from 0 to 9 written on them. Scrooge McDuck has to turn some disks so that the combination of digits on the disks forms a secret combination. In one move, he can rotate one disk one digit forwards or backwards. In particular, in one move he can go from digit 0 to digit 9 and vice versa. What minimum number of actions does he need for that?
Input Specification:
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of disks on the combination lock.
The second line contains a string of *n* digits — the original state of the disks.
The third line contains a string of *n* digits — Scrooge McDuck's combination that opens the lock.
Output Specification:
Print a single integer — the minimum number of moves Scrooge McDuck needs to open the lock.
Demo Input:
['5\n82195\n64723\n']
Demo Output:
['13\n']
Note:
In the sample he needs 13 moves:
- 1 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/b8967f65a723782358b93eff9ce69f336817cf70.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 2 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/07fa58573ece0d32c4d555e498d2b24d2f70f36a.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 3 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/cc2275d9252aae35a6867c6a5b4ba7596e9a7626.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 4 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/b100aea470fcaaab4e9529b234ba0d7875943c10.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 5 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/eb2cbe4324cebca65b85816262a85e473cd65967.png" style="max-width: 100.0%;max-height: 100.0%;"/> | ```python
n = int(input())
start = input()
end = input()
moves = 0
for index in range(len(start)):
s = int(start[index])
e = int(end[index])
direct = abs(e - s)
loop = s + 10 - e if e > s else e + 10 - s
moves += min(direct, loop)
print(moves)
``` | 3 | |
71 | A | Way Too Long Words | PROGRAMMING | 800 | [
"strings"
] | A. Way Too Long Words | 1 | 256 | Sometimes some words like "localization" or "internationalization" are so long that writing them many times in one text is quite tiresome.
Let's consider a word too long, if its length is strictly more than 10 characters. All too long words should be replaced with a special abbreviation.
This abbreviation is made like this: we write down the first and the last letter of a word and between them we write the number of letters between the first and the last letters. That number is in decimal system and doesn't contain any leading zeroes.
Thus, "localization" will be spelt as "l10n", and "internationalization» will be spelt as "i18n".
You are suggested to automatize the process of changing the words with abbreviations. At that all too long words should be replaced by the abbreviation and the words that are not too long should not undergo any changes. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=100). Each of the following *n* lines contains one word. All the words consist of lowercase Latin letters and possess the lengths of from 1 to 100 characters. | Print *n* lines. The *i*-th line should contain the result of replacing of the *i*-th word from the input data. | [
"4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis\n"
] | [
"word\nl10n\ni18n\np43s\n"
] | none | 500 | [
{
"input": "4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis",
"output": "word\nl10n\ni18n\np43s"
},
{
"input": "5\nabcdefgh\nabcdefghi\nabcdefghij\nabcdefghijk\nabcdefghijklm",
"output": "abcdefgh\nabcdefghi\nabcdefghij\na9k\na11m"
},
{
"input":... | 1,672,154,799 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 0 | 46 | 0 | w=str(input())
if len(w)>9:
print(w[0],end="")
x=len(w)-2
print(x,end="")
print(w[len(w)-1])
| Title: Way Too Long Words
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Sometimes some words like "localization" or "internationalization" are so long that writing them many times in one text is quite tiresome.
Let's consider a word too long, if its length is strictly more than 10 characters. All too long words should be replaced with a special abbreviation.
This abbreviation is made like this: we write down the first and the last letter of a word and between them we write the number of letters between the first and the last letters. That number is in decimal system and doesn't contain any leading zeroes.
Thus, "localization" will be spelt as "l10n", and "internationalization» will be spelt as "i18n".
You are suggested to automatize the process of changing the words with abbreviations. At that all too long words should be replaced by the abbreviation and the words that are not too long should not undergo any changes.
Input Specification:
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100). Each of the following *n* lines contains one word. All the words consist of lowercase Latin letters and possess the lengths of from 1 to 100 characters.
Output Specification:
Print *n* lines. The *i*-th line should contain the result of replacing of the *i*-th word from the input data.
Demo Input:
['4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis\n']
Demo Output:
['word\nl10n\ni18n\np43s\n']
Note:
none | ```python
w=str(input())
if len(w)>9:
print(w[0],end="")
x=len(w)-2
print(x,end="")
print(w[len(w)-1])
``` | 0 |
707 | A | Brain's Photos | PROGRAMMING | 800 | [
"implementation"
] | null | null | Small, but very brave, mouse Brain was not accepted to summer school of young villains. He was upset and decided to postpone his plans of taking over the world, but to become a photographer instead.
As you may know, the coolest photos are on the film (because you can specify the hashtag #film for such).
Brain took a lot of colourful pictures on colored and black-and-white film. Then he developed and translated it into a digital form. But now, color and black-and-white photos are in one folder, and to sort them, one needs to spend more than one hour!
As soon as Brain is a photographer not programmer now, he asks you to help him determine for a single photo whether it is colored or black-and-white.
Photo can be represented as a matrix sized *n*<=×<=*m*, and each element of the matrix stores a symbol indicating corresponding pixel color. There are only 6 colors:
- 'C' (cyan)- 'M' (magenta)- 'Y' (yellow)- 'W' (white)- 'G' (grey)- 'B' (black)
The photo is considered black-and-white if it has only white, black and grey pixels in it. If there are any of cyan, magenta or yellow pixels in the photo then it is considered colored. | The first line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of photo pixel matrix rows and columns respectively.
Then *n* lines describing matrix rows follow. Each of them contains *m* space-separated characters describing colors of pixels in a row. Each character in the line is one of the 'C', 'M', 'Y', 'W', 'G' or 'B'. | Print the "#Black&White" (without quotes), if the photo is black-and-white and "#Color" (without quotes), if it is colored, in the only line. | [
"2 2\nC M\nY Y\n",
"3 2\nW W\nW W\nB B\n",
"1 1\nW\n"
] | [
"#Color",
"#Black&White",
"#Black&White"
] | none | 500 | [
{
"input": "2 2\nC M\nY Y",
"output": "#Color"
},
{
"input": "3 2\nW W\nW W\nB B",
"output": "#Black&White"
},
{
"input": "1 1\nW",
"output": "#Black&White"
},
{
"input": "2 3\nW W W\nB G Y",
"output": "#Color"
},
{
"input": "1 1\nW",
"output": "#Black&White"
... | 1,673,204,030 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 11 | 46 | 102,400 | import collections
import math
def function():
n, m = map(int, input().split())
res = "#Black&White"
p =[]
for _ in range(n):
p.append([e for e in input().split()])
for e in p:
if any(z not in ('W', 'B') for z in e):
res = '#Color'
break
return res
if __name__ == "__main__":
res = function()
print(res) | Title: Brain's Photos
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Small, but very brave, mouse Brain was not accepted to summer school of young villains. He was upset and decided to postpone his plans of taking over the world, but to become a photographer instead.
As you may know, the coolest photos are on the film (because you can specify the hashtag #film for such).
Brain took a lot of colourful pictures on colored and black-and-white film. Then he developed and translated it into a digital form. But now, color and black-and-white photos are in one folder, and to sort them, one needs to spend more than one hour!
As soon as Brain is a photographer not programmer now, he asks you to help him determine for a single photo whether it is colored or black-and-white.
Photo can be represented as a matrix sized *n*<=×<=*m*, and each element of the matrix stores a symbol indicating corresponding pixel color. There are only 6 colors:
- 'C' (cyan)- 'M' (magenta)- 'Y' (yellow)- 'W' (white)- 'G' (grey)- 'B' (black)
The photo is considered black-and-white if it has only white, black and grey pixels in it. If there are any of cyan, magenta or yellow pixels in the photo then it is considered colored.
Input Specification:
The first line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of photo pixel matrix rows and columns respectively.
Then *n* lines describing matrix rows follow. Each of them contains *m* space-separated characters describing colors of pixels in a row. Each character in the line is one of the 'C', 'M', 'Y', 'W', 'G' or 'B'.
Output Specification:
Print the "#Black&White" (without quotes), if the photo is black-and-white and "#Color" (without quotes), if it is colored, in the only line.
Demo Input:
['2 2\nC M\nY Y\n', '3 2\nW W\nW W\nB B\n', '1 1\nW\n']
Demo Output:
['#Color', '#Black&White', '#Black&White']
Note:
none | ```python
import collections
import math
def function():
n, m = map(int, input().split())
res = "#Black&White"
p =[]
for _ in range(n):
p.append([e for e in input().split()])
for e in p:
if any(z not in ('W', 'B') for z in e):
res = '#Color'
break
return res
if __name__ == "__main__":
res = function()
print(res)
``` | 0 | |
59 | C | Title | PROGRAMMING | 1,600 | [
"expression parsing"
] | C. Title | 2 | 256 | Vasya has recently finished writing a book. Now he faces the problem of giving it the title. Vasya wants the title to be vague and mysterious for his book to be noticeable among others. That's why the title should be represented by a single word containing at least once each of the first *k* Latin letters and not containing any other ones. Also, the title should be a palindrome, that is it should be read similarly from the left to the right and from the right to the left.
Vasya has already composed the approximate variant of the title. You are given the title template *s* consisting of lowercase Latin letters and question marks. Your task is to replace all the question marks by lowercase Latin letters so that the resulting word satisfies the requirements, described above. Each question mark should be replaced by exactly one letter, it is not allowed to delete characters or add new ones to the template. If there are several suitable titles, choose the first in the alphabetical order, for Vasya's book to appear as early as possible in all the catalogues. | The first line contains an integer *k* (1<=≤<=*k*<=≤<=26) which is the number of allowed alphabet letters. The second line contains *s* which is the given template. In *s* only the first *k* lowercase letters of Latin alphabet and question marks can be present, the length of *s* is from 1 to 100 characters inclusively. | If there is no solution, print IMPOSSIBLE. Otherwise, a single line should contain the required title, satisfying the given template. The title should be a palindrome and it can only contain the first *k* letters of the Latin alphabet. At that, each of those *k* letters must be present at least once. If there are several suitable titles, print the lexicographically minimal one.
The lexicographical comparison is performed by the standard < operator in modern programming languages. The line *a* is lexicographically smaller than the line *b*, if exists such an *i* (1<=≤<=*i*<=≤<=|*s*|), that *a**i*<=<<=*b**i*, and for any *j* (1<=≤<=*j*<=<<=*i*) *a**j*<==<=*b**j*. |*s*| stands for the length of the given template. | [
"3\na?c\n",
"2\na??a\n",
"2\n?b?a\n"
] | [
"IMPOSSIBLE\n",
"abba\n",
"abba\n"
] | none | 1,500 | [
{
"input": "3\na?c",
"output": "IMPOSSIBLE"
},
{
"input": "2\na??a",
"output": "abba"
},
{
"input": "2\n?b?a",
"output": "abba"
},
{
"input": "3\n????",
"output": "IMPOSSIBLE"
},
{
"input": "2\n????",
"output": "abba"
},
{
"input": "1\n?",
"output"... | 1,696,263,226 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 76 | 186 | 2,867,200 | import sys, string
k = int(input())
pal = list(input().strip())
n = len(pal)
center = (n-1)//2
for i in range(center+1):
j = n-1-i
if pal[i] == pal[j]:
continue
if pal[i] == '?':
pal[i] = pal[j]
elif pal[j] == '?':
pal[j] = pal[i]
else:
print('IMPOSSIBLE')
sys.exit()
need = []
for ch in string.ascii_letters[:k]:
if ch not in pal:
need.append(ch)
nix = len(need)-1
for i in range(center, -1, -1):
if pal[i] != '?':
continue
j = n-i-1
if nix == -1:
pal[i] = pal[j] = 'a'
else:
pal[i] = pal[j] = need[nix]
nix -= 1
if nix != -1:
print('IMPOSSIBLE')
else:
print(''.join(pal))
| Title: Title
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Vasya has recently finished writing a book. Now he faces the problem of giving it the title. Vasya wants the title to be vague and mysterious for his book to be noticeable among others. That's why the title should be represented by a single word containing at least once each of the first *k* Latin letters and not containing any other ones. Also, the title should be a palindrome, that is it should be read similarly from the left to the right and from the right to the left.
Vasya has already composed the approximate variant of the title. You are given the title template *s* consisting of lowercase Latin letters and question marks. Your task is to replace all the question marks by lowercase Latin letters so that the resulting word satisfies the requirements, described above. Each question mark should be replaced by exactly one letter, it is not allowed to delete characters or add new ones to the template. If there are several suitable titles, choose the first in the alphabetical order, for Vasya's book to appear as early as possible in all the catalogues.
Input Specification:
The first line contains an integer *k* (1<=≤<=*k*<=≤<=26) which is the number of allowed alphabet letters. The second line contains *s* which is the given template. In *s* only the first *k* lowercase letters of Latin alphabet and question marks can be present, the length of *s* is from 1 to 100 characters inclusively.
Output Specification:
If there is no solution, print IMPOSSIBLE. Otherwise, a single line should contain the required title, satisfying the given template. The title should be a palindrome and it can only contain the first *k* letters of the Latin alphabet. At that, each of those *k* letters must be present at least once. If there are several suitable titles, print the lexicographically minimal one.
The lexicographical comparison is performed by the standard < operator in modern programming languages. The line *a* is lexicographically smaller than the line *b*, if exists such an *i* (1<=≤<=*i*<=≤<=|*s*|), that *a**i*<=<<=*b**i*, and for any *j* (1<=≤<=*j*<=<<=*i*) *a**j*<==<=*b**j*. |*s*| stands for the length of the given template.
Demo Input:
['3\na?c\n', '2\na??a\n', '2\n?b?a\n']
Demo Output:
['IMPOSSIBLE\n', 'abba\n', 'abba\n']
Note:
none | ```python
import sys, string
k = int(input())
pal = list(input().strip())
n = len(pal)
center = (n-1)//2
for i in range(center+1):
j = n-1-i
if pal[i] == pal[j]:
continue
if pal[i] == '?':
pal[i] = pal[j]
elif pal[j] == '?':
pal[j] = pal[i]
else:
print('IMPOSSIBLE')
sys.exit()
need = []
for ch in string.ascii_letters[:k]:
if ch not in pal:
need.append(ch)
nix = len(need)-1
for i in range(center, -1, -1):
if pal[i] != '?':
continue
j = n-i-1
if nix == -1:
pal[i] = pal[j] = 'a'
else:
pal[i] = pal[j] = need[nix]
nix -= 1
if nix != -1:
print('IMPOSSIBLE')
else:
print(''.join(pal))
``` | 3.948159 |
812 | B | Sagheer, the Hausmeister | PROGRAMMING | 1,600 | [
"bitmasks",
"brute force",
"dp"
] | null | null | Some people leave the lights at their workplaces on when they leave that is a waste of resources. As a hausmeister of DHBW, Sagheer waits till all students and professors leave the university building, then goes and turns all the lights off.
The building consists of *n* floors with stairs at the left and the right sides. Each floor has *m* rooms on the same line with a corridor that connects the left and right stairs passing by all the rooms. In other words, the building can be represented as a rectangle with *n* rows and *m*<=+<=2 columns, where the first and the last columns represent the stairs, and the *m* columns in the middle represent rooms.
Sagheer is standing at the ground floor at the left stairs. He wants to turn all the lights off in such a way that he will not go upstairs until all lights in the floor he is standing at are off. Of course, Sagheer must visit a room to turn the light there off. It takes one minute for Sagheer to go to the next floor using stairs or to move from the current room/stairs to a neighboring room/stairs on the same floor. It takes no time for him to switch the light off in the room he is currently standing in. Help Sagheer find the minimum total time to turn off all the lights.
Note that Sagheer does not have to go back to his starting position, and he does not have to visit rooms where the light is already switched off. | The first line contains two integers *n* and *m* (1<=≤<=*n*<=≤<=15 and 1<=≤<=*m*<=≤<=100) — the number of floors and the number of rooms in each floor, respectively.
The next *n* lines contains the building description. Each line contains a binary string of length *m*<=+<=2 representing a floor (the left stairs, then *m* rooms, then the right stairs) where 0 indicates that the light is off and 1 indicates that the light is on. The floors are listed from top to bottom, so that the last line represents the ground floor.
The first and last characters of each string represent the left and the right stairs, respectively, so they are always 0. | Print a single integer — the minimum total time needed to turn off all the lights. | [
"2 2\n0010\n0100\n",
"3 4\n001000\n000010\n000010\n",
"4 3\n01110\n01110\n01110\n01110\n"
] | [
"5\n",
"12\n",
"18\n"
] | In the first example, Sagheer will go to room 1 in the ground floor, then he will go to room 2 in the second floor using the left or right stairs.
In the second example, he will go to the fourth room in the ground floor, use right stairs, go to the fourth room in the second floor, use right stairs again, then go to the second room in the last floor.
In the third example, he will walk through the whole corridor alternating between the left and right stairs at each floor. | 1,000 | [
{
"input": "2 2\n0010\n0100",
"output": "5"
},
{
"input": "3 4\n001000\n000010\n000010",
"output": "12"
},
{
"input": "4 3\n01110\n01110\n01110\n01110",
"output": "18"
},
{
"input": "3 2\n0000\n0100\n0100",
"output": "4"
},
{
"input": "1 89\n0000000000000000000000... | 1,497,456,521 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 3 | 46 | 204,800 | def walk (side, floor, n, m, curtime, a, b):
c, i, left, right = 0, 0, 0, 0
for z in a[floor]:
if z=='1':
c+=1
if left==0: left=i
right=i
i+=1
if side==0:
if floor+1==n:
if c==0:
b.append(curtime)
else:
b.append(curtime+right)
else:
if c==0:
walk(1, floor+1, n, m, 1+curtime + m + 1, a,b)
walk(0, floor+1, n, m, 1+curtime+1, a, b)
else:
walk(1, floor+1, n, m, 1+curtime + m + 1, a, b)
walk(0, floor+1, n, m, 1+curtime+right*2, a, b)
else:
if floor+1==n:
if c==0:
b.append(curtime)
else:
b.append(curtime + m - left + 1)
else:
if c==0:
walk(0, floor+1, n, m, 1+curtime + m + 1, a, b)
walk(1, floor+1, n, m, 1+curtime+1, a, b)
else:
walk(0, floor+1, n, m, 1+curtime + m + 1, a, b)
walk(1, floor+1, n, m, 1+curtime+(m-left+1)*2, a, b)
n,m=map(int,input().split())
a=['']*n
b=[]
for i in range(n):
a[n-i-1]=input()
walk(0,0,n,m,0,a,b)
print(min(b))
| Title: Sagheer, the Hausmeister
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Some people leave the lights at their workplaces on when they leave that is a waste of resources. As a hausmeister of DHBW, Sagheer waits till all students and professors leave the university building, then goes and turns all the lights off.
The building consists of *n* floors with stairs at the left and the right sides. Each floor has *m* rooms on the same line with a corridor that connects the left and right stairs passing by all the rooms. In other words, the building can be represented as a rectangle with *n* rows and *m*<=+<=2 columns, where the first and the last columns represent the stairs, and the *m* columns in the middle represent rooms.
Sagheer is standing at the ground floor at the left stairs. He wants to turn all the lights off in such a way that he will not go upstairs until all lights in the floor he is standing at are off. Of course, Sagheer must visit a room to turn the light there off. It takes one minute for Sagheer to go to the next floor using stairs or to move from the current room/stairs to a neighboring room/stairs on the same floor. It takes no time for him to switch the light off in the room he is currently standing in. Help Sagheer find the minimum total time to turn off all the lights.
Note that Sagheer does not have to go back to his starting position, and he does not have to visit rooms where the light is already switched off.
Input Specification:
The first line contains two integers *n* and *m* (1<=≤<=*n*<=≤<=15 and 1<=≤<=*m*<=≤<=100) — the number of floors and the number of rooms in each floor, respectively.
The next *n* lines contains the building description. Each line contains a binary string of length *m*<=+<=2 representing a floor (the left stairs, then *m* rooms, then the right stairs) where 0 indicates that the light is off and 1 indicates that the light is on. The floors are listed from top to bottom, so that the last line represents the ground floor.
The first and last characters of each string represent the left and the right stairs, respectively, so they are always 0.
Output Specification:
Print a single integer — the minimum total time needed to turn off all the lights.
Demo Input:
['2 2\n0010\n0100\n', '3 4\n001000\n000010\n000010\n', '4 3\n01110\n01110\n01110\n01110\n']
Demo Output:
['5\n', '12\n', '18\n']
Note:
In the first example, Sagheer will go to room 1 in the ground floor, then he will go to room 2 in the second floor using the left or right stairs.
In the second example, he will go to the fourth room in the ground floor, use right stairs, go to the fourth room in the second floor, use right stairs again, then go to the second room in the last floor.
In the third example, he will walk through the whole corridor alternating between the left and right stairs at each floor. | ```python
def walk (side, floor, n, m, curtime, a, b):
c, i, left, right = 0, 0, 0, 0
for z in a[floor]:
if z=='1':
c+=1
if left==0: left=i
right=i
i+=1
if side==0:
if floor+1==n:
if c==0:
b.append(curtime)
else:
b.append(curtime+right)
else:
if c==0:
walk(1, floor+1, n, m, 1+curtime + m + 1, a,b)
walk(0, floor+1, n, m, 1+curtime+1, a, b)
else:
walk(1, floor+1, n, m, 1+curtime + m + 1, a, b)
walk(0, floor+1, n, m, 1+curtime+right*2, a, b)
else:
if floor+1==n:
if c==0:
b.append(curtime)
else:
b.append(curtime + m - left + 1)
else:
if c==0:
walk(0, floor+1, n, m, 1+curtime + m + 1, a, b)
walk(1, floor+1, n, m, 1+curtime+1, a, b)
else:
walk(0, floor+1, n, m, 1+curtime + m + 1, a, b)
walk(1, floor+1, n, m, 1+curtime+(m-left+1)*2, a, b)
n,m=map(int,input().split())
a=['']*n
b=[]
for i in range(n):
a[n-i-1]=input()
walk(0,0,n,m,0,a,b)
print(min(b))
``` | 0 | |
873 | B | Balanced Substring | PROGRAMMING | 1,500 | [
"dp",
"implementation"
] | null | null | You are given a string *s* consisting only of characters 0 and 1. A substring [*l*,<=*r*] of *s* is a string *s**l**s**l*<=+<=1*s**l*<=+<=2... *s**r*, and its length equals to *r*<=-<=*l*<=+<=1. A substring is called balanced if the number of zeroes (0) equals to the number of ones in this substring.
You have to determine the length of the longest balanced substring of *s*. | The first line contains *n* (1<=≤<=*n*<=≤<=100000) — the number of characters in *s*.
The second line contains a string *s* consisting of exactly *n* characters. Only characters 0 and 1 can appear in *s*. | If there is no non-empty balanced substring in *s*, print 0. Otherwise, print the length of the longest balanced substring. | [
"8\n11010111\n",
"3\n111\n"
] | [
"4\n",
"0\n"
] | In the first example you can choose the substring [3, 6]. It is balanced, and its length is 4. Choosing the substring [2, 5] is also possible.
In the second example it's impossible to find a non-empty balanced substring. | 0 | [
{
"input": "8\n11010111",
"output": "4"
},
{
"input": "3\n111",
"output": "0"
},
{
"input": "11\n00001000100",
"output": "2"
},
{
"input": "10\n0100000000",
"output": "2"
},
{
"input": "13\n0001000011010",
"output": "6"
},
{
"input": "14\n0000010010101... | 1,508,137,051 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 11 | 61 | 6,041,600 | from functools import lru_cache
from sys import stdin
# TODO: solve
"""
Fro the tutorial:
Let cnt0(i) be the number of zeroes and cnt1(i) — the number of ones on prefix of length i; also let balance(i) = cnt0(i) - cnt1(i) (i ≥ 0). The interesting property of balance is that the substring [x, y] is balanced iff balance(y) = balance(x - 1). That leads to a solution: for each value of balance maintain the minimum i where this balance is obtained (let it be called minIndex), and for each index i in the string update answer with i - minIndex(balance(i)).
"""
one = "1"
def precount_ones(s):
one_counts = [0] * len(s)
for i, c in enumerate(s):
one_counts[i] = int(c == one)
if i > 0:
one_counts[i] += one_counts[i - 1]
one_counts.append(0)
return tuple(one_counts)
def is_balanced(l, r, one_counts):
length = r - l + 1
if length % 2 != 0:
return False
n_ones = one_counts[r] - one_counts[l - 1]
return n_ones == length / 2
def longest_balanced_len_my(l, r, one_counts):
length = r - l + 1
if length == 2:
if is_balanced(l, r, one_counts):
return length
else:
return 0
n_ones = one_counts[r] - one_counts[l - 1]
if n_ones == 0 or n_ones == length:
return 0
# if the complete string is balanced
if is_balanced(l, r, one_counts):
return length
res = 0
for l1 in range(l + 1, r):
if r - l1 + 1 <= res:
continue
for r1 in range(r - 1, l1, -1):
if r1 - l1 + 1 > res:
if is_balanced(l1, r1, one_counts):
res = r1 - l1 + 1
return res
def longest_balanced_len(l, r, one_counts):
return longest_balanced_len_tut(l, r, one_counts)
def longest_balanced_len_tut(l, r, one_counts):
balance_to_imin = {}
res = 0
for i in range(l, r + 1):
length = i - l + 1
n_ones = one_counts[i] - one_counts[l - 1]
b = n_ones - (length - n_ones)
if b not in balance_to_imin:
balance_to_imin[b] = i
longest = i - balance_to_imin[b]
if longest > res:
res = longest
return res
def main():
n = int(stdin.readline())
s = stdin.readline()[:n]
print(longest_balanced_len(0, len(s) - 1, precount_ones(s)))
def test():
s = "11010111"
assert longest_balanced_len(0, len(s) - 1, precount_ones(s)) == 4
print("passed {}".format(s))
s = "111"
assert longest_balanced_len(0, len(s) - 1, precount_ones(s)) == 0
print("passed {}".format(s))
s = 3456 * "0"
assert longest_balanced_len(0, len(s) - 1, precount_ones(s)) == 0
print("passed {}".format(s))
s = 3456 * "1"
assert longest_balanced_len(0, len(s) - 1, precount_ones(s)) == 0
print("passed {}".format(s))
s = "00001000100"
print(precount_ones(s))
assert longest_balanced_len(0, len(s) - 1, precount_ones(s)) == 2
print("passed {}".format(s))
s = "0" * 9999 + "1"
print(precount_ones(s))
assert longest_balanced_len(0, len(s) - 1, precount_ones(s)) == 2
print("passed {}".format(s))
if __name__ == "__main__":
main()
# test()
| Title: Balanced Substring
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given a string *s* consisting only of characters 0 and 1. A substring [*l*,<=*r*] of *s* is a string *s**l**s**l*<=+<=1*s**l*<=+<=2... *s**r*, and its length equals to *r*<=-<=*l*<=+<=1. A substring is called balanced if the number of zeroes (0) equals to the number of ones in this substring.
You have to determine the length of the longest balanced substring of *s*.
Input Specification:
The first line contains *n* (1<=≤<=*n*<=≤<=100000) — the number of characters in *s*.
The second line contains a string *s* consisting of exactly *n* characters. Only characters 0 and 1 can appear in *s*.
Output Specification:
If there is no non-empty balanced substring in *s*, print 0. Otherwise, print the length of the longest balanced substring.
Demo Input:
['8\n11010111\n', '3\n111\n']
Demo Output:
['4\n', '0\n']
Note:
In the first example you can choose the substring [3, 6]. It is balanced, and its length is 4. Choosing the substring [2, 5] is also possible.
In the second example it's impossible to find a non-empty balanced substring. | ```python
from functools import lru_cache
from sys import stdin
# TODO: solve
"""
Fro the tutorial:
Let cnt0(i) be the number of zeroes and cnt1(i) — the number of ones on prefix of length i; also let balance(i) = cnt0(i) - cnt1(i) (i ≥ 0). The interesting property of balance is that the substring [x, y] is balanced iff balance(y) = balance(x - 1). That leads to a solution: for each value of balance maintain the minimum i where this balance is obtained (let it be called minIndex), and for each index i in the string update answer with i - minIndex(balance(i)).
"""
one = "1"
def precount_ones(s):
one_counts = [0] * len(s)
for i, c in enumerate(s):
one_counts[i] = int(c == one)
if i > 0:
one_counts[i] += one_counts[i - 1]
one_counts.append(0)
return tuple(one_counts)
def is_balanced(l, r, one_counts):
length = r - l + 1
if length % 2 != 0:
return False
n_ones = one_counts[r] - one_counts[l - 1]
return n_ones == length / 2
def longest_balanced_len_my(l, r, one_counts):
length = r - l + 1
if length == 2:
if is_balanced(l, r, one_counts):
return length
else:
return 0
n_ones = one_counts[r] - one_counts[l - 1]
if n_ones == 0 or n_ones == length:
return 0
# if the complete string is balanced
if is_balanced(l, r, one_counts):
return length
res = 0
for l1 in range(l + 1, r):
if r - l1 + 1 <= res:
continue
for r1 in range(r - 1, l1, -1):
if r1 - l1 + 1 > res:
if is_balanced(l1, r1, one_counts):
res = r1 - l1 + 1
return res
def longest_balanced_len(l, r, one_counts):
return longest_balanced_len_tut(l, r, one_counts)
def longest_balanced_len_tut(l, r, one_counts):
balance_to_imin = {}
res = 0
for i in range(l, r + 1):
length = i - l + 1
n_ones = one_counts[i] - one_counts[l - 1]
b = n_ones - (length - n_ones)
if b not in balance_to_imin:
balance_to_imin[b] = i
longest = i - balance_to_imin[b]
if longest > res:
res = longest
return res
def main():
n = int(stdin.readline())
s = stdin.readline()[:n]
print(longest_balanced_len(0, len(s) - 1, precount_ones(s)))
def test():
s = "11010111"
assert longest_balanced_len(0, len(s) - 1, precount_ones(s)) == 4
print("passed {}".format(s))
s = "111"
assert longest_balanced_len(0, len(s) - 1, precount_ones(s)) == 0
print("passed {}".format(s))
s = 3456 * "0"
assert longest_balanced_len(0, len(s) - 1, precount_ones(s)) == 0
print("passed {}".format(s))
s = 3456 * "1"
assert longest_balanced_len(0, len(s) - 1, precount_ones(s)) == 0
print("passed {}".format(s))
s = "00001000100"
print(precount_ones(s))
assert longest_balanced_len(0, len(s) - 1, precount_ones(s)) == 2
print("passed {}".format(s))
s = "0" * 9999 + "1"
print(precount_ones(s))
assert longest_balanced_len(0, len(s) - 1, precount_ones(s)) == 2
print("passed {}".format(s))
if __name__ == "__main__":
main()
# test()
``` | 0 | |
124 | A | The number of positions | PROGRAMMING | 1,000 | [
"math"
] | null | null | Petr stands in line of *n* people, but he doesn't know exactly which position he occupies. He can say that there are no less than *a* people standing in front of him and no more than *b* people standing behind him. Find the number of different positions Petr can occupy. | The only line contains three integers *n*, *a* and *b* (0<=≤<=*a*,<=*b*<=<<=*n*<=≤<=100). | Print the single number — the number of the sought positions. | [
"3 1 1\n",
"5 2 3\n"
] | [
"2\n",
"3\n"
] | The possible positions in the first sample are: 2 and 3 (if we number the positions starting with 1).
In the second sample they are 3, 4 and 5. | 500 | [
{
"input": "3 1 1",
"output": "2"
},
{
"input": "5 2 3",
"output": "3"
},
{
"input": "5 4 0",
"output": "1"
},
{
"input": "6 5 5",
"output": "1"
},
{
"input": "9 4 3",
"output": "4"
},
{
"input": "11 4 6",
"output": "7"
},
{
"input": "13 8 ... | 1,690,405,734 | 2,147,483,647 | Python 3 | OK | TESTS | 50 | 92 | 0 | n, a, b = map(int, input().split())
result = min(n-a, b+1)
print(result)
| Title: The number of positions
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Petr stands in line of *n* people, but he doesn't know exactly which position he occupies. He can say that there are no less than *a* people standing in front of him and no more than *b* people standing behind him. Find the number of different positions Petr can occupy.
Input Specification:
The only line contains three integers *n*, *a* and *b* (0<=≤<=*a*,<=*b*<=<<=*n*<=≤<=100).
Output Specification:
Print the single number — the number of the sought positions.
Demo Input:
['3 1 1\n', '5 2 3\n']
Demo Output:
['2\n', '3\n']
Note:
The possible positions in the first sample are: 2 and 3 (if we number the positions starting with 1).
In the second sample they are 3, 4 and 5. | ```python
n, a, b = map(int, input().split())
result = min(n-a, b+1)
print(result)
``` | 3 | |
716 | A | Crazy Computer | PROGRAMMING | 800 | [
"implementation"
] | null | null | ZS the Coder is coding on a crazy computer. If you don't type in a word for a *c* consecutive seconds, everything you typed disappear!
More formally, if you typed a word at second *a* and then the next word at second *b*, then if *b*<=-<=*a*<=≤<=*c*, just the new word is appended to other words on the screen. If *b*<=-<=*a*<=><=*c*, then everything on the screen disappears and after that the word you have typed appears on the screen.
For example, if *c*<==<=5 and you typed words at seconds 1,<=3,<=8,<=14,<=19,<=20 then at the second 8 there will be 3 words on the screen. After that, everything disappears at the second 13 because nothing was typed. At the seconds 14 and 19 another two words are typed, and finally, at the second 20, one more word is typed, and a total of 3 words remain on the screen.
You're given the times when ZS the Coder typed the words. Determine how many words remain on the screen after he finished typing everything. | The first line contains two integers *n* and *c* (1<=≤<=*n*<=≤<=100<=000,<=1<=≤<=*c*<=≤<=109) — the number of words ZS the Coder typed and the crazy computer delay respectively.
The next line contains *n* integers *t*1,<=*t*2,<=...,<=*t**n* (1<=≤<=*t*1<=<<=*t*2<=<<=...<=<<=*t**n*<=≤<=109), where *t**i* denotes the second when ZS the Coder typed the *i*-th word. | Print a single positive integer, the number of words that remain on the screen after all *n* words was typed, in other words, at the second *t**n*. | [
"6 5\n1 3 8 14 19 20\n",
"6 1\n1 3 5 7 9 10\n"
] | [
"3",
"2"
] | The first sample is already explained in the problem statement.
For the second sample, after typing the first word at the second 1, it disappears because the next word is typed at the second 3 and 3 - 1 > 1. Similarly, only 1 word will remain at the second 9. Then, a word is typed at the second 10, so there will be two words on the screen, as the old word won't disappear because 10 - 9 ≤ 1. | 500 | [
{
"input": "6 5\n1 3 8 14 19 20",
"output": "3"
},
{
"input": "6 1\n1 3 5 7 9 10",
"output": "2"
},
{
"input": "1 1\n1000000000",
"output": "1"
},
{
"input": "5 5\n1 7 12 13 14",
"output": "4"
},
{
"input": "2 1000000000\n1 1000000000",
"output": "2"
},
{
... | 1,642,313,831 | 2,147,483,647 | Python 3 | OK | TESTS | 81 | 155 | 8,601,600 | #!/usr/bin/env python
import math
import sys
import itertools
import fractions
if __name__ == '__main__':
wtf = sys.stdin.read()
wtf = wtf.strip().split('\n')
n, c = map(int, wtf[0].split())
T = list(map(int, wtf[1].split()))
Tt = []
for i in range(n-1):
Tt.append(T[i+1]-T[i])
ans = 0
for t in Tt:
if t <= c:
ans += 1
else:
ans = 0
print(ans+1)
| Title: Crazy Computer
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
ZS the Coder is coding on a crazy computer. If you don't type in a word for a *c* consecutive seconds, everything you typed disappear!
More formally, if you typed a word at second *a* and then the next word at second *b*, then if *b*<=-<=*a*<=≤<=*c*, just the new word is appended to other words on the screen. If *b*<=-<=*a*<=><=*c*, then everything on the screen disappears and after that the word you have typed appears on the screen.
For example, if *c*<==<=5 and you typed words at seconds 1,<=3,<=8,<=14,<=19,<=20 then at the second 8 there will be 3 words on the screen. After that, everything disappears at the second 13 because nothing was typed. At the seconds 14 and 19 another two words are typed, and finally, at the second 20, one more word is typed, and a total of 3 words remain on the screen.
You're given the times when ZS the Coder typed the words. Determine how many words remain on the screen after he finished typing everything.
Input Specification:
The first line contains two integers *n* and *c* (1<=≤<=*n*<=≤<=100<=000,<=1<=≤<=*c*<=≤<=109) — the number of words ZS the Coder typed and the crazy computer delay respectively.
The next line contains *n* integers *t*1,<=*t*2,<=...,<=*t**n* (1<=≤<=*t*1<=<<=*t*2<=<<=...<=<<=*t**n*<=≤<=109), where *t**i* denotes the second when ZS the Coder typed the *i*-th word.
Output Specification:
Print a single positive integer, the number of words that remain on the screen after all *n* words was typed, in other words, at the second *t**n*.
Demo Input:
['6 5\n1 3 8 14 19 20\n', '6 1\n1 3 5 7 9 10\n']
Demo Output:
['3', '2']
Note:
The first sample is already explained in the problem statement.
For the second sample, after typing the first word at the second 1, it disappears because the next word is typed at the second 3 and 3 - 1 > 1. Similarly, only 1 word will remain at the second 9. Then, a word is typed at the second 10, so there will be two words on the screen, as the old word won't disappear because 10 - 9 ≤ 1. | ```python
#!/usr/bin/env python
import math
import sys
import itertools
import fractions
if __name__ == '__main__':
wtf = sys.stdin.read()
wtf = wtf.strip().split('\n')
n, c = map(int, wtf[0].split())
T = list(map(int, wtf[1].split()))
Tt = []
for i in range(n-1):
Tt.append(T[i+1]-T[i])
ans = 0
for t in Tt:
if t <= c:
ans += 1
else:
ans = 0
print(ans+1)
``` | 3 | |
69 | A | Young Physicist | PROGRAMMING | 1,000 | [
"implementation",
"math"
] | A. Young Physicist | 2 | 256 | A guy named Vasya attends the final grade of a high school. One day Vasya decided to watch a match of his favorite hockey team. And, as the boy loves hockey very much, even more than physics, he forgot to do the homework. Specifically, he forgot to complete his physics tasks. Next day the teacher got very angry at Vasya and decided to teach him a lesson. He gave the lazy student a seemingly easy task: You are given an idle body in space and the forces that affect it. The body can be considered as a material point with coordinates (0; 0; 0). Vasya had only to answer whether it is in equilibrium. "Piece of cake" — thought Vasya, we need only to check if the sum of all vectors is equal to 0. So, Vasya began to solve the problem. But later it turned out that there can be lots and lots of these forces, and Vasya can not cope without your help. Help him. Write a program that determines whether a body is idle or is moving by the given vectors of forces. | The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=100), then follow *n* lines containing three integers each: the *x**i* coordinate, the *y**i* coordinate and the *z**i* coordinate of the force vector, applied to the body (<=-<=100<=≤<=*x**i*,<=*y**i*,<=*z**i*<=≤<=100). | Print the word "YES" if the body is in equilibrium, or the word "NO" if it is not. | [
"3\n4 1 7\n-2 4 -1\n1 -5 -3\n",
"3\n3 -1 7\n-5 2 -4\n2 -1 -3\n"
] | [
"NO",
"YES"
] | none | 500 | [
{
"input": "3\n4 1 7\n-2 4 -1\n1 -5 -3",
"output": "NO"
},
{
"input": "3\n3 -1 7\n-5 2 -4\n2 -1 -3",
"output": "YES"
},
{
"input": "10\n21 32 -46\n43 -35 21\n42 2 -50\n22 40 20\n-27 -9 38\n-4 1 1\n-40 6 -31\n-13 -2 34\n-21 34 -12\n-32 -29 41",
"output": "NO"
},
{
"input": "10... | 1,588,695,705 | 2,147,483,647 | Python 3 | OK | TESTS | 81 | 218 | 0 | n = int(input())
ans = [0,0,0]
x1=ans
while n>0 :
x =list(map(int,input().strip().split()))[:3]
x1=[sum(i)for i in zip(x,x1)]
n=n-1
if x1==ans:
print("YES")
else :
print("NO")
| Title: Young Physicist
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
A guy named Vasya attends the final grade of a high school. One day Vasya decided to watch a match of his favorite hockey team. And, as the boy loves hockey very much, even more than physics, he forgot to do the homework. Specifically, he forgot to complete his physics tasks. Next day the teacher got very angry at Vasya and decided to teach him a lesson. He gave the lazy student a seemingly easy task: You are given an idle body in space and the forces that affect it. The body can be considered as a material point with coordinates (0; 0; 0). Vasya had only to answer whether it is in equilibrium. "Piece of cake" — thought Vasya, we need only to check if the sum of all vectors is equal to 0. So, Vasya began to solve the problem. But later it turned out that there can be lots and lots of these forces, and Vasya can not cope without your help. Help him. Write a program that determines whether a body is idle or is moving by the given vectors of forces.
Input Specification:
The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=100), then follow *n* lines containing three integers each: the *x**i* coordinate, the *y**i* coordinate and the *z**i* coordinate of the force vector, applied to the body (<=-<=100<=≤<=*x**i*,<=*y**i*,<=*z**i*<=≤<=100).
Output Specification:
Print the word "YES" if the body is in equilibrium, or the word "NO" if it is not.
Demo Input:
['3\n4 1 7\n-2 4 -1\n1 -5 -3\n', '3\n3 -1 7\n-5 2 -4\n2 -1 -3\n']
Demo Output:
['NO', 'YES']
Note:
none | ```python
n = int(input())
ans = [0,0,0]
x1=ans
while n>0 :
x =list(map(int,input().strip().split()))[:3]
x1=[sum(i)for i in zip(x,x1)]
n=n-1
if x1==ans:
print("YES")
else :
print("NO")
``` | 3.9455 |
946 | C | String Transformation | PROGRAMMING | 1,300 | [
"greedy",
"strings"
] | null | null | You are given a string *s* consisting of |*s*| small english letters.
In one move you can replace any character of this string to the next character in alphabetical order (a will be replaced with b, s will be replaced with t, etc.). You cannot replace letter z with any other letter.
Your target is to make some number of moves (not necessary minimal) to get string abcdefghijklmnopqrstuvwxyz (english alphabet) as a subsequence. Subsequence of the string is the string that is obtained by deleting characters at some positions. You need to print the string that will be obtained from the given string and will be contain english alphabet as a subsequence or say that it is impossible. | The only one line of the input consisting of the string *s* consisting of |*s*| (1<=≤<=|*s*|<=≤<=105) small english letters. | If you can get a string that can be obtained from the given string and will contain english alphabet as a subsequence, print it. Otherwise print «-1» (without quotes). | [
"aacceeggiikkmmooqqssuuwwyy\n",
"thereisnoanswer\n"
] | [
"abcdefghijklmnopqrstuvwxyz\n",
"-1\n"
] | none | 0 | [
{
"input": "aacceeggiikkmmooqqssuuwwyy",
"output": "abcdefghijklmnopqrstuvwxyz"
},
{
"input": "thereisnoanswer",
"output": "-1"
},
{
"input": "jqcfvsaveaixhioaaeephbmsmfcgdyawscpyioybkgxlcrhaxs",
"output": "-1"
},
{
"input": "rtdacjpsjjmjdhcoprjhaenlwuvpfqzurnrswngmpnkdnunaen... | 1,538,461,586 | 1,466 | PyPy 3 | WRONG_ANSWER | TESTS | 3 | 124 | 1,433,600 | import sys
from sys import stdin,stdout
s=list(map(ord,list(stdin.readline())));s.pop(-1)
#print(s)
if len(s)<26:
print(-1)
else:
flag2=True
for i in range(len(s)):
if s[i]==97:
if i+26<=len(s):
flag=True
for j in range(i,i+26,1):
if s[j]>97+(j-i):
#print(j)
flag=False
break
if flag==True:
s=list(map(chr,s))
stdout.write(''.join(s[:i])+"abcdefghijklmnopqrstuvwxyz"+''.join(s[i+26:]))
flag2=False;break
if flag2:
print(-1) | Title: String Transformation
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given a string *s* consisting of |*s*| small english letters.
In one move you can replace any character of this string to the next character in alphabetical order (a will be replaced with b, s will be replaced with t, etc.). You cannot replace letter z with any other letter.
Your target is to make some number of moves (not necessary minimal) to get string abcdefghijklmnopqrstuvwxyz (english alphabet) as a subsequence. Subsequence of the string is the string that is obtained by deleting characters at some positions. You need to print the string that will be obtained from the given string and will be contain english alphabet as a subsequence or say that it is impossible.
Input Specification:
The only one line of the input consisting of the string *s* consisting of |*s*| (1<=≤<=|*s*|<=≤<=105) small english letters.
Output Specification:
If you can get a string that can be obtained from the given string and will contain english alphabet as a subsequence, print it. Otherwise print «-1» (without quotes).
Demo Input:
['aacceeggiikkmmooqqssuuwwyy\n', 'thereisnoanswer\n']
Demo Output:
['abcdefghijklmnopqrstuvwxyz\n', '-1\n']
Note:
none | ```python
import sys
from sys import stdin,stdout
s=list(map(ord,list(stdin.readline())));s.pop(-1)
#print(s)
if len(s)<26:
print(-1)
else:
flag2=True
for i in range(len(s)):
if s[i]==97:
if i+26<=len(s):
flag=True
for j in range(i,i+26,1):
if s[j]>97+(j-i):
#print(j)
flag=False
break
if flag==True:
s=list(map(chr,s))
stdout.write(''.join(s[:i])+"abcdefghijklmnopqrstuvwxyz"+''.join(s[i+26:]))
flag2=False;break
if flag2:
print(-1)
``` | 0 | |
520 | B | Two Buttons | PROGRAMMING | 1,400 | [
"dfs and similar",
"graphs",
"greedy",
"implementation",
"math",
"shortest paths"
] | null | null | Vasya has found a strange device. On the front panel of a device there are: a red button, a blue button and a display showing some positive integer. After clicking the red button, device multiplies the displayed number by two. After clicking the blue button, device subtracts one from the number on the display. If at some point the number stops being positive, the device breaks down. The display can show arbitrarily large numbers. Initially, the display shows number *n*.
Bob wants to get number *m* on the display. What minimum number of clicks he has to make in order to achieve this result? | The first and the only line of the input contains two distinct integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=104), separated by a space . | Print a single number — the minimum number of times one needs to push the button required to get the number *m* out of number *n*. | [
"4 6\n",
"10 1\n"
] | [
"2\n",
"9\n"
] | In the first example you need to push the blue button once, and then push the red button once.
In the second example, doubling the number is unnecessary, so we need to push the blue button nine times. | 1,000 | [
{
"input": "4 6",
"output": "2"
},
{
"input": "10 1",
"output": "9"
},
{
"input": "1 2",
"output": "1"
},
{
"input": "2 1",
"output": "1"
},
{
"input": "1 3",
"output": "3"
},
{
"input": "3 1",
"output": "2"
},
{
"input": "2 10",
"outpu... | 1,693,590,449 | 2,147,483,647 | PyPy 3-64 | TIME_LIMIT_EXCEEDED | TESTS | 10 | 2,000 | 18,124,800 | from collections import deque
from queue import PriorityQueue
n, m = map(int, input().split())
q = PriorityQueue()
q.put((0, n))
while q:
currS, num = q.get()
if num == m:
print(currS)
break
if num <= m:
q.put((currS + 1, num*2))
if num > 0:
q.put((currS + 1, num - 1))
| Title: Two Buttons
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya has found a strange device. On the front panel of a device there are: a red button, a blue button and a display showing some positive integer. After clicking the red button, device multiplies the displayed number by two. After clicking the blue button, device subtracts one from the number on the display. If at some point the number stops being positive, the device breaks down. The display can show arbitrarily large numbers. Initially, the display shows number *n*.
Bob wants to get number *m* on the display. What minimum number of clicks he has to make in order to achieve this result?
Input Specification:
The first and the only line of the input contains two distinct integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=104), separated by a space .
Output Specification:
Print a single number — the minimum number of times one needs to push the button required to get the number *m* out of number *n*.
Demo Input:
['4 6\n', '10 1\n']
Demo Output:
['2\n', '9\n']
Note:
In the first example you need to push the blue button once, and then push the red button once.
In the second example, doubling the number is unnecessary, so we need to push the blue button nine times. | ```python
from collections import deque
from queue import PriorityQueue
n, m = map(int, input().split())
q = PriorityQueue()
q.put((0, n))
while q:
currS, num = q.get()
if num == m:
print(currS)
break
if num <= m:
q.put((currS + 1, num*2))
if num > 0:
q.put((currS + 1, num - 1))
``` | 0 | |
208 | A | Dubstep | PROGRAMMING | 900 | [
"strings"
] | null | null | Vasya works as a DJ in the best Berland nightclub, and he often uses dubstep music in his performance. Recently, he has decided to take a couple of old songs and make dubstep remixes from them.
Let's assume that a song consists of some number of words. To make the dubstep remix of this song, Vasya inserts a certain number of words "WUB" before the first word of the song (the number may be zero), after the last word (the number may be zero), and between words (at least one between any pair of neighbouring words), and then the boy glues together all the words, including "WUB", in one string and plays the song at the club.
For example, a song with words "I AM X" can transform into a dubstep remix as "WUBWUBIWUBAMWUBWUBX" and cannot transform into "WUBWUBIAMWUBX".
Recently, Petya has heard Vasya's new dubstep track, but since he isn't into modern music, he decided to find out what was the initial song that Vasya remixed. Help Petya restore the original song. | The input consists of a single non-empty string, consisting only of uppercase English letters, the string's length doesn't exceed 200 characters. It is guaranteed that before Vasya remixed the song, no word contained substring "WUB" in it; Vasya didn't change the word order. It is also guaranteed that initially the song had at least one word. | Print the words of the initial song that Vasya used to make a dubsteb remix. Separate the words with a space. | [
"WUBWUBABCWUB\n",
"WUBWEWUBAREWUBWUBTHEWUBCHAMPIONSWUBMYWUBFRIENDWUB\n"
] | [
"ABC ",
"WE ARE THE CHAMPIONS MY FRIEND "
] | In the first sample: "WUBWUBABCWUB" = "WUB" + "WUB" + "ABC" + "WUB". That means that the song originally consisted of a single word "ABC", and all words "WUB" were added by Vasya.
In the second sample Vasya added a single word "WUB" between all neighbouring words, in the beginning and in the end, except for words "ARE" and "THE" — between them Vasya added two "WUB". | 500 | [
{
"input": "WUBWUBABCWUB",
"output": "ABC "
},
{
"input": "WUBWEWUBAREWUBWUBTHEWUBCHAMPIONSWUBMYWUBFRIENDWUB",
"output": "WE ARE THE CHAMPIONS MY FRIEND "
},
{
"input": "WUBWUBWUBSR",
"output": "SR "
},
{
"input": "RWUBWUBWUBLWUB",
"output": "R L "
},
{
"input": "... | 1,675,998,592 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 1 | 60 | 0 | s = input()
ss=s.split('WUB')
print(''.join(ss))
| Title: Dubstep
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya works as a DJ in the best Berland nightclub, and he often uses dubstep music in his performance. Recently, he has decided to take a couple of old songs and make dubstep remixes from them.
Let's assume that a song consists of some number of words. To make the dubstep remix of this song, Vasya inserts a certain number of words "WUB" before the first word of the song (the number may be zero), after the last word (the number may be zero), and between words (at least one between any pair of neighbouring words), and then the boy glues together all the words, including "WUB", in one string and plays the song at the club.
For example, a song with words "I AM X" can transform into a dubstep remix as "WUBWUBIWUBAMWUBWUBX" and cannot transform into "WUBWUBIAMWUBX".
Recently, Petya has heard Vasya's new dubstep track, but since he isn't into modern music, he decided to find out what was the initial song that Vasya remixed. Help Petya restore the original song.
Input Specification:
The input consists of a single non-empty string, consisting only of uppercase English letters, the string's length doesn't exceed 200 characters. It is guaranteed that before Vasya remixed the song, no word contained substring "WUB" in it; Vasya didn't change the word order. It is also guaranteed that initially the song had at least one word.
Output Specification:
Print the words of the initial song that Vasya used to make a dubsteb remix. Separate the words with a space.
Demo Input:
['WUBWUBABCWUB\n', 'WUBWEWUBAREWUBWUBTHEWUBCHAMPIONSWUBMYWUBFRIENDWUB\n']
Demo Output:
['ABC ', 'WE ARE THE CHAMPIONS MY FRIEND ']
Note:
In the first sample: "WUBWUBABCWUB" = "WUB" + "WUB" + "ABC" + "WUB". That means that the song originally consisted of a single word "ABC", and all words "WUB" were added by Vasya.
In the second sample Vasya added a single word "WUB" between all neighbouring words, in the beginning and in the end, except for words "ARE" and "THE" — between them Vasya added two "WUB". | ```python
s = input()
ss=s.split('WUB')
print(''.join(ss))
``` | 0 | |
298 | B | Sail | PROGRAMMING | 1,200 | [
"brute force",
"greedy",
"implementation"
] | null | null | The polar bears are going fishing. They plan to sail from (*s**x*,<=*s**y*) to (*e**x*,<=*e**y*). However, the boat can only sail by wind. At each second, the wind blows in one of these directions: east, south, west or north. Assume the boat is currently at (*x*,<=*y*).
- If the wind blows to the east, the boat will move to (*x*<=+<=1,<=*y*). - If the wind blows to the south, the boat will move to (*x*,<=*y*<=-<=1). - If the wind blows to the west, the boat will move to (*x*<=-<=1,<=*y*). - If the wind blows to the north, the boat will move to (*x*,<=*y*<=+<=1).
Alternatively, they can hold the boat by the anchor. In this case, the boat stays at (*x*,<=*y*). Given the wind direction for *t* seconds, what is the earliest time they sail to (*e**x*,<=*e**y*)? | The first line contains five integers *t*,<=*s**x*,<=*s**y*,<=*e**x*,<=*e**y* (1<=≤<=*t*<=≤<=105,<=<=-<=109<=≤<=*s**x*,<=*s**y*,<=*e**x*,<=*e**y*<=≤<=109). The starting location and the ending location will be different.
The second line contains *t* characters, the *i*-th character is the wind blowing direction at the *i*-th second. It will be one of the four possibilities: "E" (east), "S" (south), "W" (west) and "N" (north). | If they can reach (*e**x*,<=*e**y*) within *t* seconds, print the earliest time they can achieve it. Otherwise, print "-1" (without quotes). | [
"5 0 0 1 1\nSESNW\n",
"10 5 3 3 6\nNENSWESNEE\n"
] | [
"4\n",
"-1\n"
] | In the first sample, they can stay at seconds 1, 3, and move at seconds 2, 4.
In the second sample, they cannot sail to the destination. | 500 | [
{
"input": "5 0 0 1 1\nSESNW",
"output": "4"
},
{
"input": "10 5 3 3 6\nNENSWESNEE",
"output": "-1"
},
{
"input": "19 -172106364 -468680119 -172106365 -468680119\nSSEEESSSESESWSEESSS",
"output": "13"
},
{
"input": "39 -1000000000 -1000000000 -999999997 -1000000000\nENEENWSWSS... | 1,682,274,506 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 43 | 154 | 2,355,200 | t, sx, sy, ex, ey = [int(x) for x in input().split()]
s = input()
x = ex - sx
y = ey - sy
lx = 0
ly = 0
if x > 0:
s = s.replace('W', ' ')
elif x < 0:
s = s.replace('E', ' ')
if y > 0:
s = s.replace('S', ' ')
elif y < 0:
s = s.replace('N', ' ')
for b in range(len(s)):
if s[b] == ' ':
continue
elif s[b] == 'N' and y != 0:
y -= 1
ly = b + 1
elif s[b] == 'S' and y != 0:
y += 1
ly = b + 1
elif s[b] == 'E' and x != 0:
x -= 1
lx = b + 1
elif s[b] == 'W' and x != 0:
x += 1
lx = b + 1
if x == 0 and y == 0:
print(max(lx, ly))
else:
print(-1) | Title: Sail
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The polar bears are going fishing. They plan to sail from (*s**x*,<=*s**y*) to (*e**x*,<=*e**y*). However, the boat can only sail by wind. At each second, the wind blows in one of these directions: east, south, west or north. Assume the boat is currently at (*x*,<=*y*).
- If the wind blows to the east, the boat will move to (*x*<=+<=1,<=*y*). - If the wind blows to the south, the boat will move to (*x*,<=*y*<=-<=1). - If the wind blows to the west, the boat will move to (*x*<=-<=1,<=*y*). - If the wind blows to the north, the boat will move to (*x*,<=*y*<=+<=1).
Alternatively, they can hold the boat by the anchor. In this case, the boat stays at (*x*,<=*y*). Given the wind direction for *t* seconds, what is the earliest time they sail to (*e**x*,<=*e**y*)?
Input Specification:
The first line contains five integers *t*,<=*s**x*,<=*s**y*,<=*e**x*,<=*e**y* (1<=≤<=*t*<=≤<=105,<=<=-<=109<=≤<=*s**x*,<=*s**y*,<=*e**x*,<=*e**y*<=≤<=109). The starting location and the ending location will be different.
The second line contains *t* characters, the *i*-th character is the wind blowing direction at the *i*-th second. It will be one of the four possibilities: "E" (east), "S" (south), "W" (west) and "N" (north).
Output Specification:
If they can reach (*e**x*,<=*e**y*) within *t* seconds, print the earliest time they can achieve it. Otherwise, print "-1" (without quotes).
Demo Input:
['5 0 0 1 1\nSESNW\n', '10 5 3 3 6\nNENSWESNEE\n']
Demo Output:
['4\n', '-1\n']
Note:
In the first sample, they can stay at seconds 1, 3, and move at seconds 2, 4.
In the second sample, they cannot sail to the destination. | ```python
t, sx, sy, ex, ey = [int(x) for x in input().split()]
s = input()
x = ex - sx
y = ey - sy
lx = 0
ly = 0
if x > 0:
s = s.replace('W', ' ')
elif x < 0:
s = s.replace('E', ' ')
if y > 0:
s = s.replace('S', ' ')
elif y < 0:
s = s.replace('N', ' ')
for b in range(len(s)):
if s[b] == ' ':
continue
elif s[b] == 'N' and y != 0:
y -= 1
ly = b + 1
elif s[b] == 'S' and y != 0:
y += 1
ly = b + 1
elif s[b] == 'E' and x != 0:
x -= 1
lx = b + 1
elif s[b] == 'W' and x != 0:
x += 1
lx = b + 1
if x == 0 and y == 0:
print(max(lx, ly))
else:
print(-1)
``` | 3 | |
71 | A | Way Too Long Words | PROGRAMMING | 800 | [
"strings"
] | A. Way Too Long Words | 1 | 256 | Sometimes some words like "localization" or "internationalization" are so long that writing them many times in one text is quite tiresome.
Let's consider a word too long, if its length is strictly more than 10 characters. All too long words should be replaced with a special abbreviation.
This abbreviation is made like this: we write down the first and the last letter of a word and between them we write the number of letters between the first and the last letters. That number is in decimal system and doesn't contain any leading zeroes.
Thus, "localization" will be spelt as "l10n", and "internationalization» will be spelt as "i18n".
You are suggested to automatize the process of changing the words with abbreviations. At that all too long words should be replaced by the abbreviation and the words that are not too long should not undergo any changes. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=100). Each of the following *n* lines contains one word. All the words consist of lowercase Latin letters and possess the lengths of from 1 to 100 characters. | Print *n* lines. The *i*-th line should contain the result of replacing of the *i*-th word from the input data. | [
"4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis\n"
] | [
"word\nl10n\ni18n\np43s\n"
] | none | 500 | [
{
"input": "4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis",
"output": "word\nl10n\ni18n\np43s"
},
{
"input": "5\nabcdefgh\nabcdefghi\nabcdefghij\nabcdefghijk\nabcdefghijklm",
"output": "abcdefgh\nabcdefghi\nabcdefghij\na9k\na11m"
},
{
"input":... | 1,695,831,291 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 15 | 0 | n=int(input())
for i in range(n):
s=input()
for z in range(n):
if len(s)<4:
print(s)
else:
x=len(s)-2
a=str(s[0])+str(x)+str(s[-1])
print(a) | Title: Way Too Long Words
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Sometimes some words like "localization" or "internationalization" are so long that writing them many times in one text is quite tiresome.
Let's consider a word too long, if its length is strictly more than 10 characters. All too long words should be replaced with a special abbreviation.
This abbreviation is made like this: we write down the first and the last letter of a word and between them we write the number of letters between the first and the last letters. That number is in decimal system and doesn't contain any leading zeroes.
Thus, "localization" will be spelt as "l10n", and "internationalization» will be spelt as "i18n".
You are suggested to automatize the process of changing the words with abbreviations. At that all too long words should be replaced by the abbreviation and the words that are not too long should not undergo any changes.
Input Specification:
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100). Each of the following *n* lines contains one word. All the words consist of lowercase Latin letters and possess the lengths of from 1 to 100 characters.
Output Specification:
Print *n* lines. The *i*-th line should contain the result of replacing of the *i*-th word from the input data.
Demo Input:
['4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis\n']
Demo Output:
['word\nl10n\ni18n\np43s\n']
Note:
none | ```python
n=int(input())
for i in range(n):
s=input()
for z in range(n):
if len(s)<4:
print(s)
else:
x=len(s)-2
a=str(s[0])+str(x)+str(s[-1])
print(a)
``` | 0 |
1 | B | Spreadsheet | PROGRAMMING | 1,600 | [
"implementation",
"math"
] | B. Spreadsheets | 10 | 64 | In the popular spreadsheets systems (for example, in Excel) the following numeration of columns is used. The first column has number A, the second — number B, etc. till column 26 that is marked by Z. Then there are two-letter numbers: column 27 has number AA, 28 — AB, column 52 is marked by AZ. After ZZ there follow three-letter numbers, etc.
The rows are marked by integer numbers starting with 1. The cell name is the concatenation of the column and the row numbers. For example, BC23 is the name for the cell that is in column 55, row 23.
Sometimes another numeration system is used: RXCY, where X and Y are integer numbers, showing the column and the row numbers respectfully. For instance, R23C55 is the cell from the previous example.
Your task is to write a program that reads the given sequence of cell coordinates and produce each item written according to the rules of another numeration system. | The first line of the input contains integer number *n* (1<=≤<=*n*<=≤<=105), the number of coordinates in the test. Then there follow *n* lines, each of them contains coordinates. All the coordinates are correct, there are no cells with the column and/or the row numbers larger than 106 . | Write *n* lines, each line should contain a cell coordinates in the other numeration system. | [
"2\nR23C55\nBC23\n"
] | [
"BC23\nR23C55\n"
] | none | 0 | [
{
"input": "2\nR23C55\nBC23",
"output": "BC23\nR23C55"
},
{
"input": "1\nA1",
"output": "R1C1"
},
{
"input": "5\nR8C3\nD1\nR7C2\nR8C9\nR8C9",
"output": "C8\nR1C4\nB7\nI8\nI8"
},
{
"input": "4\nR4C25\nR90C35\nAP55\nX83",
"output": "Y4\nAI90\nR55C42\nR83C24"
},
{
"i... | 1,684,439,437 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 5 | 92 | 921,600 | import re
def convert_coordinate(coordinate):
if 'R' in coordinate and 'C' in coordinate:
row, col = map(int, re.findall(r'\d+', coordinate))
result = ''
while col:
col, rem = divmod(col - 1, 26)
result = chr(rem + 65) + result
return result + str(row)
else:
col_str = re.findall(r'[A-Z]+', coordinate)[0]
row = re.findall(r'\d+', coordinate)[0]
col = 0
for i, c in enumerate(col_str[::-1]):
col += (ord(c) - 64) * (26 ** i)
return f'R{row}C{col}'
n = int(input())
for _ in range(n):
coordinate = input()
print(convert_coordinate(coordinate))
| Title: Spreadsheet
Time Limit: 10 seconds
Memory Limit: 64 megabytes
Problem Description:
In the popular spreadsheets systems (for example, in Excel) the following numeration of columns is used. The first column has number A, the second — number B, etc. till column 26 that is marked by Z. Then there are two-letter numbers: column 27 has number AA, 28 — AB, column 52 is marked by AZ. After ZZ there follow three-letter numbers, etc.
The rows are marked by integer numbers starting with 1. The cell name is the concatenation of the column and the row numbers. For example, BC23 is the name for the cell that is in column 55, row 23.
Sometimes another numeration system is used: RXCY, where X and Y are integer numbers, showing the column and the row numbers respectfully. For instance, R23C55 is the cell from the previous example.
Your task is to write a program that reads the given sequence of cell coordinates and produce each item written according to the rules of another numeration system.
Input Specification:
The first line of the input contains integer number *n* (1<=≤<=*n*<=≤<=105), the number of coordinates in the test. Then there follow *n* lines, each of them contains coordinates. All the coordinates are correct, there are no cells with the column and/or the row numbers larger than 106 .
Output Specification:
Write *n* lines, each line should contain a cell coordinates in the other numeration system.
Demo Input:
['2\nR23C55\nBC23\n']
Demo Output:
['BC23\nR23C55\n']
Note:
none | ```python
import re
def convert_coordinate(coordinate):
if 'R' in coordinate and 'C' in coordinate:
row, col = map(int, re.findall(r'\d+', coordinate))
result = ''
while col:
col, rem = divmod(col - 1, 26)
result = chr(rem + 65) + result
return result + str(row)
else:
col_str = re.findall(r'[A-Z]+', coordinate)[0]
row = re.findall(r'\d+', coordinate)[0]
col = 0
for i, c in enumerate(col_str[::-1]):
col += (ord(c) - 64) * (26 ** i)
return f'R{row}C{col}'
n = int(input())
for _ in range(n):
coordinate = input()
print(convert_coordinate(coordinate))
``` | -1 |
932 | E | Team Work | PROGRAMMING | 2,400 | [
"combinatorics",
"dp",
"math"
] | null | null | You have a team of *N* people. For a particular task, you can pick any non-empty subset of people. The cost of having *x* people for the task is *x**k*.
Output the sum of costs over all non-empty subsets of people. | Only line of input contains two integers *N* (1<=≤<=*N*<=≤<=109) representing total number of people and *k* (1<=≤<=*k*<=≤<=5000). | Output the sum of costs for all non empty subsets modulo 109<=+<=7. | [
"1 1\n",
"3 2\n"
] | [
"1\n",
"24\n"
] | In the first example, there is only one non-empty subset {1} with cost 1<sup class="upper-index">1</sup> = 1.
In the second example, there are seven non-empty subsets.
- {1} with cost 1<sup class="upper-index">2</sup> = 1
- {2} with cost 1<sup class="upper-index">2</sup> = 1
- {1, 2} with cost 2<sup class="upper-index">2</sup> = 4
- {3} with cost 1<sup class="upper-index">2</sup> = 1
- {1, 3} with cost 2<sup class="upper-index">2</sup> = 4
- {2, 3} with cost 2<sup class="upper-index">2</sup> = 4
- {1, 2, 3} with cost 3<sup class="upper-index">2</sup> = 9
The total cost is 1 + 1 + 4 + 1 + 4 + 4 + 9 = 24. | 2,500 | [
{
"input": "1 1",
"output": "1"
},
{
"input": "3 2",
"output": "24"
},
{
"input": "5 3",
"output": "800"
},
{
"input": "12 4",
"output": "8067072"
},
{
"input": "20 5",
"output": "87486873"
},
{
"input": "522 4575",
"output": "558982611"
},
{
... | 1,518,819,746 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 5 | 2,000 | 5,836,800 | #!/usr/bin/env python3
import sys
mod = 10**9 + 7
(n, k) = map(int, sys.stdin.readline().strip().split())
def fast_pow_mod(b, p, mod):
if p == 0:
return 1
elif p == 1:
return b % mod
else:
r = fast_pow_mod(b, p // 2, mod)
r2 = (r * r) % mod
if p % 2 == 0:
return r2
else:
return (r2 * b) % mod
vs = list(range(n - k, n + 1))
fs = [0 for _ in vs]
if n - k < 0:
start = 1
pstart = - (n - k)
else:
start = fast_pow_mod(2, vs[0], mod)
pstart = 0
for i in range(pstart, k + 1):
fs[i] = start
start = (start * 2) % mod
for j in range(1, k + 1):
dfs = [fs[i] - fs[i-1] for i in range(1, len(fs))]
fs = [(df * v) % mod for df, v in zip(dfs, vs[j:])]
print (fs[0])
| Title: Team Work
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You have a team of *N* people. For a particular task, you can pick any non-empty subset of people. The cost of having *x* people for the task is *x**k*.
Output the sum of costs over all non-empty subsets of people.
Input Specification:
Only line of input contains two integers *N* (1<=≤<=*N*<=≤<=109) representing total number of people and *k* (1<=≤<=*k*<=≤<=5000).
Output Specification:
Output the sum of costs for all non empty subsets modulo 109<=+<=7.
Demo Input:
['1 1\n', '3 2\n']
Demo Output:
['1\n', '24\n']
Note:
In the first example, there is only one non-empty subset {1} with cost 1<sup class="upper-index">1</sup> = 1.
In the second example, there are seven non-empty subsets.
- {1} with cost 1<sup class="upper-index">2</sup> = 1
- {2} with cost 1<sup class="upper-index">2</sup> = 1
- {1, 2} with cost 2<sup class="upper-index">2</sup> = 4
- {3} with cost 1<sup class="upper-index">2</sup> = 1
- {1, 3} with cost 2<sup class="upper-index">2</sup> = 4
- {2, 3} with cost 2<sup class="upper-index">2</sup> = 4
- {1, 2, 3} with cost 3<sup class="upper-index">2</sup> = 9
The total cost is 1 + 1 + 4 + 1 + 4 + 4 + 9 = 24. | ```python
#!/usr/bin/env python3
import sys
mod = 10**9 + 7
(n, k) = map(int, sys.stdin.readline().strip().split())
def fast_pow_mod(b, p, mod):
if p == 0:
return 1
elif p == 1:
return b % mod
else:
r = fast_pow_mod(b, p // 2, mod)
r2 = (r * r) % mod
if p % 2 == 0:
return r2
else:
return (r2 * b) % mod
vs = list(range(n - k, n + 1))
fs = [0 for _ in vs]
if n - k < 0:
start = 1
pstart = - (n - k)
else:
start = fast_pow_mod(2, vs[0], mod)
pstart = 0
for i in range(pstart, k + 1):
fs[i] = start
start = (start * 2) % mod
for j in range(1, k + 1):
dfs = [fs[i] - fs[i-1] for i in range(1, len(fs))]
fs = [(df * v) % mod for df, v in zip(dfs, vs[j:])]
print (fs[0])
``` | 0 | |
975 | A | Aramic script | PROGRAMMING | 900 | [
"implementation",
"strings"
] | null | null | In Aramic language words can only represent objects.
Words in Aramic have special properties:
- A word is a root if it does not contain the same letter more than once. - A root and all its permutations represent the same object. - The root $x$ of a word $y$ is the word that contains all letters that appear in $y$ in a way that each letter appears once. For example, the root of "aaaa", "aa", "aaa" is "a", the root of "aabb", "bab", "baabb", "ab" is "ab". - Any word in Aramic represents the same object as its root.
You have an ancient script in Aramic. What is the number of different objects mentioned in the script? | The first line contains one integer $n$ ($1 \leq n \leq 10^3$) — the number of words in the script.
The second line contains $n$ words $s_1, s_2, \ldots, s_n$ — the script itself. The length of each string does not exceed $10^3$.
It is guaranteed that all characters of the strings are small latin letters. | Output one integer — the number of different objects mentioned in the given ancient Aramic script. | [
"5\na aa aaa ab abb\n",
"3\namer arem mrea\n"
] | [
"2",
"1"
] | In the first test, there are two objects mentioned. The roots that represent them are "a","ab".
In the second test, there is only one object, its root is "amer", the other strings are just permutations of "amer". | 500 | [
{
"input": "5\na aa aaa ab abb",
"output": "2"
},
{
"input": "3\namer arem mrea",
"output": "1"
},
{
"input": "10\nbda bbb cda dca dda dcb bcd dcb ada ddd",
"output": "6"
},
{
"input": "2\nfhjlqs aceginpr",
"output": "2"
},
{
"input": "2\nbcdfghimn efghijlmo",
... | 1,525,280,820 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 62 | 7,065,600 | def solve():
n=int(input())
a=set()
ap=a.add
k=0
for s in map(set,input().split()):
if not(s in a):
ap(s)
print(len(s))
solve() | Title: Aramic script
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
In Aramic language words can only represent objects.
Words in Aramic have special properties:
- A word is a root if it does not contain the same letter more than once. - A root and all its permutations represent the same object. - The root $x$ of a word $y$ is the word that contains all letters that appear in $y$ in a way that each letter appears once. For example, the root of "aaaa", "aa", "aaa" is "a", the root of "aabb", "bab", "baabb", "ab" is "ab". - Any word in Aramic represents the same object as its root.
You have an ancient script in Aramic. What is the number of different objects mentioned in the script?
Input Specification:
The first line contains one integer $n$ ($1 \leq n \leq 10^3$) — the number of words in the script.
The second line contains $n$ words $s_1, s_2, \ldots, s_n$ — the script itself. The length of each string does not exceed $10^3$.
It is guaranteed that all characters of the strings are small latin letters.
Output Specification:
Output one integer — the number of different objects mentioned in the given ancient Aramic script.
Demo Input:
['5\na aa aaa ab abb\n', '3\namer arem mrea\n']
Demo Output:
['2', '1']
Note:
In the first test, there are two objects mentioned. The roots that represent them are "a","ab".
In the second test, there is only one object, its root is "amer", the other strings are just permutations of "amer". | ```python
def solve():
n=int(input())
a=set()
ap=a.add
k=0
for s in map(set,input().split()):
if not(s in a):
ap(s)
print(len(s))
solve()
``` | -1 | |
432 | A | Choosing Teams | PROGRAMMING | 800 | [
"greedy",
"implementation",
"sortings"
] | null | null | The Saratov State University Olympiad Programmers Training Center (SSU OPTC) has *n* students. For each student you know the number of times he/she has participated in the ACM ICPC world programming championship. According to the ACM ICPC rules, each person can participate in the world championship at most 5 times.
The head of the SSU OPTC is recently gathering teams to participate in the world championship. Each team must consist of exactly three people, at that, any person cannot be a member of two or more teams. What maximum number of teams can the head make if he wants each team to participate in the world championship with the same members at least *k* times? | The first line contains two integers, *n* and *k* (1<=≤<=*n*<=≤<=2000; 1<=≤<=*k*<=≤<=5). The next line contains *n* integers: *y*1,<=*y*2,<=...,<=*y**n* (0<=≤<=*y**i*<=≤<=5), where *y**i* shows the number of times the *i*-th person participated in the ACM ICPC world championship. | Print a single number — the answer to the problem. | [
"5 2\n0 4 5 1 0\n",
"6 4\n0 1 2 3 4 5\n",
"6 5\n0 0 0 0 0 0\n"
] | [
"1\n",
"0\n",
"2\n"
] | In the first sample only one team could be made: the first, the fourth and the fifth participants.
In the second sample no teams could be created.
In the third sample two teams could be created. Any partition into two teams fits. | 500 | [
{
"input": "5 2\n0 4 5 1 0",
"output": "1"
},
{
"input": "6 4\n0 1 2 3 4 5",
"output": "0"
},
{
"input": "6 5\n0 0 0 0 0 0",
"output": "2"
},
{
"input": "3 4\n0 1 0",
"output": "1"
},
{
"input": "3 4\n0 2 0",
"output": "0"
},
{
"input": "6 5\n0 0 0 0 0... | 1,680,778,288 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 35 | 62 | 1,638,400 | n,k = map(int,input().split())
arr = list(map(int,input().split()))
allow = 5 - k
count = 0
for j in arr:
if j <= allow:
count += 1
print(count//3) | Title: Choosing Teams
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The Saratov State University Olympiad Programmers Training Center (SSU OPTC) has *n* students. For each student you know the number of times he/she has participated in the ACM ICPC world programming championship. According to the ACM ICPC rules, each person can participate in the world championship at most 5 times.
The head of the SSU OPTC is recently gathering teams to participate in the world championship. Each team must consist of exactly three people, at that, any person cannot be a member of two or more teams. What maximum number of teams can the head make if he wants each team to participate in the world championship with the same members at least *k* times?
Input Specification:
The first line contains two integers, *n* and *k* (1<=≤<=*n*<=≤<=2000; 1<=≤<=*k*<=≤<=5). The next line contains *n* integers: *y*1,<=*y*2,<=...,<=*y**n* (0<=≤<=*y**i*<=≤<=5), where *y**i* shows the number of times the *i*-th person participated in the ACM ICPC world championship.
Output Specification:
Print a single number — the answer to the problem.
Demo Input:
['5 2\n0 4 5 1 0\n', '6 4\n0 1 2 3 4 5\n', '6 5\n0 0 0 0 0 0\n']
Demo Output:
['1\n', '0\n', '2\n']
Note:
In the first sample only one team could be made: the first, the fourth and the fifth participants.
In the second sample no teams could be created.
In the third sample two teams could be created. Any partition into two teams fits. | ```python
n,k = map(int,input().split())
arr = list(map(int,input().split()))
allow = 5 - k
count = 0
for j in arr:
if j <= allow:
count += 1
print(count//3)
``` | 3 | |
598 | D | Igor In the Museum | PROGRAMMING | 1,700 | [
"dfs and similar",
"graphs",
"shortest paths"
] | null | null | Igor is in the museum and he wants to see as many pictures as possible.
Museum can be represented as a rectangular field of *n*<=×<=*m* cells. Each cell is either empty or impassable. Empty cells are marked with '.', impassable cells are marked with '*'. Every two adjacent cells of different types (one empty and one impassable) are divided by a wall containing one picture.
At the beginning Igor is in some empty cell. At every moment he can move to any empty cell that share a side with the current one.
For several starting positions you should calculate the maximum number of pictures that Igor can see. Igor is able to see the picture only if he is in the cell adjacent to the wall with this picture. Igor have a lot of time, so he will examine every picture he can see. | First line of the input contains three integers *n*, *m* and *k* (3<=≤<=*n*,<=*m*<=≤<=1000,<=1<=≤<=*k*<=≤<=*min*(*n*·*m*,<=100<=000)) — the museum dimensions and the number of starting positions to process.
Each of the next *n* lines contains *m* symbols '.', '*' — the description of the museum. It is guaranteed that all border cells are impassable, so Igor can't go out from the museum.
Each of the last *k* lines contains two integers *x* and *y* (1<=≤<=*x*<=≤<=*n*,<=1<=≤<=*y*<=≤<=*m*) — the row and the column of one of Igor's starting positions respectively. Rows are numbered from top to bottom, columns — from left to right. It is guaranteed that all starting positions are empty cells. | Print *k* integers — the maximum number of pictures, that Igor can see if he starts in corresponding position. | [
"5 6 3\n******\n*..*.*\n******\n*....*\n******\n2 2\n2 5\n4 3\n",
"4 4 1\n****\n*..*\n*.**\n****\n3 2\n"
] | [
"6\n4\n10\n",
"8\n"
] | none | 0 | [
{
"input": "5 6 3\n******\n*..*.*\n******\n*....*\n******\n2 2\n2 5\n4 3",
"output": "6\n4\n10"
},
{
"input": "4 4 1\n****\n*..*\n*.**\n****\n3 2",
"output": "8"
},
{
"input": "3 3 1\n***\n*.*\n***\n2 2",
"output": "4"
},
{
"input": "5 5 10\n*****\n*...*\n*..**\n*.***\n*****\... | 1,628,399,713 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 7 | 124 | 20,480,000 | ###### ### ####### ####### ## # ##### ### #####
# # # # # # # # # # # # # ###
# # # # # # # # # # # # # ###
###### ######### # # # # # # ######### #
###### ######### # # # # # # ######### #
# # # # # # # # # # #### # # #
# # # # # # # ## # # # # #
###### # # ####### ####### # # ##### # # # #
# mandatory imports
import os
import sys
from io import BytesIO, IOBase
from math import log2, ceil, sqrt, gcd, log
# optional imports
# from itertools import permutations
# from functools import cmp_to_key # for adding custom comparator
# from fractions import Fraction
from collections import *
from bisect import *
# from __future__ import print_function # for PyPy2
from heapq import *
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = "x" in file.mode or "r" not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b"\n") + (not b)
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
os.write(self._fd, self.buffer.getvalue())
self.buffer.truncate(0), self.buffer.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode("ascii"))
self.read = lambda: self.buffer.read().decode("ascii")
self.readline = lambda: self.buffer.readline().decode("ascii")
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")
g = lambda : input().strip()
gl = lambda : g().split()
gil = lambda : [int(var) for var in gl()]
gfl = lambda : [float(var) for var in gl()]
gcl = lambda : list(g())
gbs = lambda : [int(var) for var in g()]
rr = lambda x : reversed(range(x))
mod = int(1e9)+7
inf = float("inf")
n, m, k = gil()
mat = [g() for _ in range(n)]
grpIdx = [[-1 for _ in range(m)] for _ in range(n)]
ans = []
st = []
total = []
for i in range(n):
for j in range(m):
if mat[i][j] == '*' or grpIdx[i][j] != -1:continue
st.append((i, j))
grpIdx[i][j] = len(ans)
cnt = 0
while st:
i, j = st.pop()
for di, dj in ((1, 0), (0, 1), (0, -1), (-1, 0)):
if 0 <= i+di < n and 0 <= j+dj < m and grpIdx[i+di][j+dj] == -1:
if mat[i+di][j+dj] == '*':
cnt += 1
else:
grpIdx[i+di][j+dj] = len(ans)
st.append((i+di, j+dj))
ans.append(cnt)
for _ in range(k):
i, j = gil()
print(ans[grpIdx[i-1][j-1]])
| Title: Igor In the Museum
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Igor is in the museum and he wants to see as many pictures as possible.
Museum can be represented as a rectangular field of *n*<=×<=*m* cells. Each cell is either empty or impassable. Empty cells are marked with '.', impassable cells are marked with '*'. Every two adjacent cells of different types (one empty and one impassable) are divided by a wall containing one picture.
At the beginning Igor is in some empty cell. At every moment he can move to any empty cell that share a side with the current one.
For several starting positions you should calculate the maximum number of pictures that Igor can see. Igor is able to see the picture only if he is in the cell adjacent to the wall with this picture. Igor have a lot of time, so he will examine every picture he can see.
Input Specification:
First line of the input contains three integers *n*, *m* and *k* (3<=≤<=*n*,<=*m*<=≤<=1000,<=1<=≤<=*k*<=≤<=*min*(*n*·*m*,<=100<=000)) — the museum dimensions and the number of starting positions to process.
Each of the next *n* lines contains *m* symbols '.', '*' — the description of the museum. It is guaranteed that all border cells are impassable, so Igor can't go out from the museum.
Each of the last *k* lines contains two integers *x* and *y* (1<=≤<=*x*<=≤<=*n*,<=1<=≤<=*y*<=≤<=*m*) — the row and the column of one of Igor's starting positions respectively. Rows are numbered from top to bottom, columns — from left to right. It is guaranteed that all starting positions are empty cells.
Output Specification:
Print *k* integers — the maximum number of pictures, that Igor can see if he starts in corresponding position.
Demo Input:
['5 6 3\n******\n*..*.*\n******\n*....*\n******\n2 2\n2 5\n4 3\n', '4 4 1\n****\n*..*\n*.**\n****\n3 2\n']
Demo Output:
['6\n4\n10\n', '8\n']
Note:
none | ```python
###### ### ####### ####### ## # ##### ### #####
# # # # # # # # # # # # # ###
# # # # # # # # # # # # # ###
###### ######### # # # # # # ######### #
###### ######### # # # # # # ######### #
# # # # # # # # # # #### # # #
# # # # # # # ## # # # # #
###### # # ####### ####### # # ##### # # # #
# mandatory imports
import os
import sys
from io import BytesIO, IOBase
from math import log2, ceil, sqrt, gcd, log
# optional imports
# from itertools import permutations
# from functools import cmp_to_key # for adding custom comparator
# from fractions import Fraction
from collections import *
from bisect import *
# from __future__ import print_function # for PyPy2
from heapq import *
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = "x" in file.mode or "r" not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b"\n") + (not b)
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
os.write(self._fd, self.buffer.getvalue())
self.buffer.truncate(0), self.buffer.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode("ascii"))
self.read = lambda: self.buffer.read().decode("ascii")
self.readline = lambda: self.buffer.readline().decode("ascii")
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")
g = lambda : input().strip()
gl = lambda : g().split()
gil = lambda : [int(var) for var in gl()]
gfl = lambda : [float(var) for var in gl()]
gcl = lambda : list(g())
gbs = lambda : [int(var) for var in g()]
rr = lambda x : reversed(range(x))
mod = int(1e9)+7
inf = float("inf")
n, m, k = gil()
mat = [g() for _ in range(n)]
grpIdx = [[-1 for _ in range(m)] for _ in range(n)]
ans = []
st = []
total = []
for i in range(n):
for j in range(m):
if mat[i][j] == '*' or grpIdx[i][j] != -1:continue
st.append((i, j))
grpIdx[i][j] = len(ans)
cnt = 0
while st:
i, j = st.pop()
for di, dj in ((1, 0), (0, 1), (0, -1), (-1, 0)):
if 0 <= i+di < n and 0 <= j+dj < m and grpIdx[i+di][j+dj] == -1:
if mat[i+di][j+dj] == '*':
cnt += 1
else:
grpIdx[i+di][j+dj] = len(ans)
st.append((i+di, j+dj))
ans.append(cnt)
for _ in range(k):
i, j = gil()
print(ans[grpIdx[i-1][j-1]])
``` | 0 | |
1,000 | B | Light It Up | PROGRAMMING | 1,500 | [
"greedy"
] | null | null | Recently, you bought a brand new smart lamp with programming features. At first, you set up a schedule to the lamp. Every day it will turn power on at moment $0$ and turn power off at moment $M$. Moreover, the lamp allows you to set a program of switching its state (states are "lights on" and "lights off"). Unfortunately, some program is already installed into the lamp.
The lamp allows only good programs. Good program can be represented as a non-empty array $a$, where $0 < a_1 < a_2 < \dots < a_{|a|} < M$. All $a_i$ must be integers. Of course, preinstalled program is a good program.
The lamp follows program $a$ in next manner: at moment $0$ turns power and light on. Then at moment $a_i$ the lamp flips its state to opposite (if it was lit, it turns off, and vice versa). The state of the lamp flips instantly: for example, if you turn the light off at moment $1$ and then do nothing, the total time when the lamp is lit will be $1$. Finally, at moment $M$ the lamp is turning its power off regardless of its state.
Since you are not among those people who read instructions, and you don't understand the language it's written in, you realize (after some testing) the only possible way to alter the preinstalled program. You can insert at most one element into the program $a$, so it still should be a good program after alteration. Insertion can be done between any pair of consecutive elements of $a$, or even at the begining or at the end of $a$.
Find such a way to alter the program that the total time when the lamp is lit is maximum possible. Maybe you should leave program untouched. If the lamp is lit from $x$ till moment $y$, then its lit for $y - x$ units of time. Segments of time when the lamp is lit are summed up. | First line contains two space separated integers $n$ and $M$ ($1 \le n \le 10^5$, $2 \le M \le 10^9$) — the length of program $a$ and the moment when power turns off.
Second line contains $n$ space separated integers $a_1, a_2, \dots, a_n$ ($0 < a_1 < a_2 < \dots < a_n < M$) — initially installed program $a$. | Print the only integer — maximum possible total time when the lamp is lit. | [
"3 10\n4 6 7\n",
"2 12\n1 10\n",
"2 7\n3 4\n"
] | [
"8\n",
"9\n",
"6\n"
] | In the first example, one of possible optimal solutions is to insert value $x = 3$ before $a_1$, so program will be $[3, 4, 6, 7]$ and time of lamp being lit equals $(3 - 0) + (6 - 4) + (10 - 7) = 8$. Other possible solution is to insert $x = 5$ in appropriate place.
In the second example, there is only one optimal solution: to insert $x = 2$ between $a_1$ and $a_2$. Program will become $[1, 2, 10]$, and answer will be $(1 - 0) + (10 - 2) = 9$.
In the third example, optimal answer is to leave program untouched, so answer will be $(3 - 0) + (7 - 4) = 6$. | 0 | [
{
"input": "3 10\n4 6 7",
"output": "8"
},
{
"input": "2 12\n1 10",
"output": "9"
},
{
"input": "2 7\n3 4",
"output": "6"
},
{
"input": "1 2\n1",
"output": "1"
},
{
"input": "5 10\n1 3 5 6 8",
"output": "6"
},
{
"input": "7 1000000000\n1 10001 10011 20... | 1,700,548,002 | 2,147,483,647 | Python 3 | OK | TESTS | 39 | 108 | 13,721,600 | R=lambda:map(int,input().split());a,b=R();A=[0]+[*R()]+[b];B=[0]
for i in range(a+1):
B+=[B[-1]]
if i%2==0:B[-1]+=A[i+1]-A[i]
print(max([2*B[-1]-b+1]+[2*B[i]-A[i]for i in range(1,a+1)])+b-B[-1]-1) | Title: Light It Up
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Recently, you bought a brand new smart lamp with programming features. At first, you set up a schedule to the lamp. Every day it will turn power on at moment $0$ and turn power off at moment $M$. Moreover, the lamp allows you to set a program of switching its state (states are "lights on" and "lights off"). Unfortunately, some program is already installed into the lamp.
The lamp allows only good programs. Good program can be represented as a non-empty array $a$, where $0 < a_1 < a_2 < \dots < a_{|a|} < M$. All $a_i$ must be integers. Of course, preinstalled program is a good program.
The lamp follows program $a$ in next manner: at moment $0$ turns power and light on. Then at moment $a_i$ the lamp flips its state to opposite (if it was lit, it turns off, and vice versa). The state of the lamp flips instantly: for example, if you turn the light off at moment $1$ and then do nothing, the total time when the lamp is lit will be $1$. Finally, at moment $M$ the lamp is turning its power off regardless of its state.
Since you are not among those people who read instructions, and you don't understand the language it's written in, you realize (after some testing) the only possible way to alter the preinstalled program. You can insert at most one element into the program $a$, so it still should be a good program after alteration. Insertion can be done between any pair of consecutive elements of $a$, or even at the begining or at the end of $a$.
Find such a way to alter the program that the total time when the lamp is lit is maximum possible. Maybe you should leave program untouched. If the lamp is lit from $x$ till moment $y$, then its lit for $y - x$ units of time. Segments of time when the lamp is lit are summed up.
Input Specification:
First line contains two space separated integers $n$ and $M$ ($1 \le n \le 10^5$, $2 \le M \le 10^9$) — the length of program $a$ and the moment when power turns off.
Second line contains $n$ space separated integers $a_1, a_2, \dots, a_n$ ($0 < a_1 < a_2 < \dots < a_n < M$) — initially installed program $a$.
Output Specification:
Print the only integer — maximum possible total time when the lamp is lit.
Demo Input:
['3 10\n4 6 7\n', '2 12\n1 10\n', '2 7\n3 4\n']
Demo Output:
['8\n', '9\n', '6\n']
Note:
In the first example, one of possible optimal solutions is to insert value $x = 3$ before $a_1$, so program will be $[3, 4, 6, 7]$ and time of lamp being lit equals $(3 - 0) + (6 - 4) + (10 - 7) = 8$. Other possible solution is to insert $x = 5$ in appropriate place.
In the second example, there is only one optimal solution: to insert $x = 2$ between $a_1$ and $a_2$. Program will become $[1, 2, 10]$, and answer will be $(1 - 0) + (10 - 2) = 9$.
In the third example, optimal answer is to leave program untouched, so answer will be $(3 - 0) + (7 - 4) = 6$. | ```python
R=lambda:map(int,input().split());a,b=R();A=[0]+[*R()]+[b];B=[0]
for i in range(a+1):
B+=[B[-1]]
if i%2==0:B[-1]+=A[i+1]-A[i]
print(max([2*B[-1]-b+1]+[2*B[i]-A[i]for i in range(1,a+1)])+b-B[-1]-1)
``` | 3 | |
416 | C | Booking System | PROGRAMMING | 1,600 | [
"binary search",
"dp",
"greedy",
"implementation"
] | null | null | Innovation technologies are on a victorious march around the planet. They integrate into all spheres of human activity!
A restaurant called "Dijkstra's Place" has started thinking about optimizing the booking system.
There are *n* booking requests received by now. Each request is characterized by two numbers: *c**i* and *p**i* — the size of the group of visitors who will come via this request and the total sum of money they will spend in the restaurant, correspondingly.
We know that for each request, all *c**i* people want to sit at the same table and are going to spend the whole evening in the restaurant, from the opening moment at 18:00 to the closing moment.
Unfortunately, there only are *k* tables in the restaurant. For each table, we know *r**i* — the maximum number of people who can sit at it. A table can have only people from the same group sitting at it. If you cannot find a large enough table for the whole group, then all visitors leave and naturally, pay nothing.
Your task is: given the tables and the requests, decide which requests to accept and which requests to decline so that the money paid by the happy and full visitors was maximum. | The first line of the input contains integer *n* (1<=≤<=*n*<=≤<=1000) — the number of requests from visitors. Then *n* lines follow. Each line contains two integers: *c**i*,<=*p**i* (1<=≤<=*c**i*,<=*p**i*<=≤<=1000) — the size of the group of visitors who will come by the *i*-th request and the total sum of money they will pay when they visit the restaurant, correspondingly.
The next line contains integer *k* (1<=≤<=*k*<=≤<=1000) — the number of tables in the restaurant. The last line contains *k* space-separated integers: *r*1,<=*r*2,<=...,<=*r**k* (1<=≤<=*r**i*<=≤<=1000) — the maximum number of people that can sit at each table. | In the first line print two integers: *m*,<=*s* — the number of accepted requests and the total money you get from these requests, correspondingly.
Then print *m* lines — each line must contain two space-separated integers: the number of the accepted request and the number of the table to seat people who come via this request. The requests and the tables are consecutively numbered starting from 1 in the order in which they are given in the input.
If there are multiple optimal answers, print any of them. | [
"3\n10 50\n2 100\n5 30\n3\n4 6 9\n"
] | [
"2 130\n2 1\n3 2\n"
] | none | 1,500 | [
{
"input": "3\n10 50\n2 100\n5 30\n3\n4 6 9",
"output": "2 130\n2 1\n3 2"
},
{
"input": "1\n1 1\n1\n1",
"output": "1 1\n1 1"
},
{
"input": "1\n2 1\n1\n1",
"output": "0 0"
},
{
"input": "2\n10 10\n5 5\n1\n5",
"output": "1 5\n2 1"
},
{
"input": "2\n10 10\n5 5\n1\n10... | 1,563,944,381 | 2,147,483,647 | PyPy 3 | OK | TESTS | 47 | 171 | 3,481,600 | from sys import stdin
input = stdin.readline
class Booking:
def __init__(self, number, people, cost):
self.number = number
self.people = people
self.cost = cost
self.table = None
def __str__(self):
return str(self.__dict__)
class Table:
def __init__(self, number, capacity):
self.number = number
self.capacity = capacity
self.occupied = False
def __str__(self):
return str(self.__dict__)
b = int(input())
requests = [[int(item) for item in input().split(' ')] for i in range(b)]
bookings = []
for i in range(b):
bookings.append(Booking(i + 1, requests[i][0], requests[i][1]))
n = int(input())
capacity = [int(item) for item in input().split(' ')]
tables = []
for i in range(n):
tables.append(Table(i + 1, capacity[i]))
st = [table for table in sorted(tables, key=lambda x: x.capacity)]
granted = 0
total = 0
for booking in sorted(bookings, key=lambda bo: -1 * bo.cost):
if granted == len(st):
break
for table in st:
if table.occupied:
continue
if table.capacity >= booking.people:
booking.table = table.number
total += booking.cost
table.occupied = True
granted += 1
break
print(granted, total)
for booking in bookings:
if booking.table:
print(booking.number, booking.table)
| Title: Booking System
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Innovation technologies are on a victorious march around the planet. They integrate into all spheres of human activity!
A restaurant called "Dijkstra's Place" has started thinking about optimizing the booking system.
There are *n* booking requests received by now. Each request is characterized by two numbers: *c**i* and *p**i* — the size of the group of visitors who will come via this request and the total sum of money they will spend in the restaurant, correspondingly.
We know that for each request, all *c**i* people want to sit at the same table and are going to spend the whole evening in the restaurant, from the opening moment at 18:00 to the closing moment.
Unfortunately, there only are *k* tables in the restaurant. For each table, we know *r**i* — the maximum number of people who can sit at it. A table can have only people from the same group sitting at it. If you cannot find a large enough table for the whole group, then all visitors leave and naturally, pay nothing.
Your task is: given the tables and the requests, decide which requests to accept and which requests to decline so that the money paid by the happy and full visitors was maximum.
Input Specification:
The first line of the input contains integer *n* (1<=≤<=*n*<=≤<=1000) — the number of requests from visitors. Then *n* lines follow. Each line contains two integers: *c**i*,<=*p**i* (1<=≤<=*c**i*,<=*p**i*<=≤<=1000) — the size of the group of visitors who will come by the *i*-th request and the total sum of money they will pay when they visit the restaurant, correspondingly.
The next line contains integer *k* (1<=≤<=*k*<=≤<=1000) — the number of tables in the restaurant. The last line contains *k* space-separated integers: *r*1,<=*r*2,<=...,<=*r**k* (1<=≤<=*r**i*<=≤<=1000) — the maximum number of people that can sit at each table.
Output Specification:
In the first line print two integers: *m*,<=*s* — the number of accepted requests and the total money you get from these requests, correspondingly.
Then print *m* lines — each line must contain two space-separated integers: the number of the accepted request and the number of the table to seat people who come via this request. The requests and the tables are consecutively numbered starting from 1 in the order in which they are given in the input.
If there are multiple optimal answers, print any of them.
Demo Input:
['3\n10 50\n2 100\n5 30\n3\n4 6 9\n']
Demo Output:
['2 130\n2 1\n3 2\n']
Note:
none | ```python
from sys import stdin
input = stdin.readline
class Booking:
def __init__(self, number, people, cost):
self.number = number
self.people = people
self.cost = cost
self.table = None
def __str__(self):
return str(self.__dict__)
class Table:
def __init__(self, number, capacity):
self.number = number
self.capacity = capacity
self.occupied = False
def __str__(self):
return str(self.__dict__)
b = int(input())
requests = [[int(item) for item in input().split(' ')] for i in range(b)]
bookings = []
for i in range(b):
bookings.append(Booking(i + 1, requests[i][0], requests[i][1]))
n = int(input())
capacity = [int(item) for item in input().split(' ')]
tables = []
for i in range(n):
tables.append(Table(i + 1, capacity[i]))
st = [table for table in sorted(tables, key=lambda x: x.capacity)]
granted = 0
total = 0
for booking in sorted(bookings, key=lambda bo: -1 * bo.cost):
if granted == len(st):
break
for table in st:
if table.occupied:
continue
if table.capacity >= booking.people:
booking.table = table.number
total += booking.cost
table.occupied = True
granted += 1
break
print(granted, total)
for booking in bookings:
if booking.table:
print(booking.number, booking.table)
``` | 3 | |
476 | B | Dreamoon and WiFi | PROGRAMMING | 1,300 | [
"bitmasks",
"brute force",
"combinatorics",
"dp",
"math",
"probabilities"
] | null | null | Dreamoon is standing at the position 0 on a number line. Drazil is sending a list of commands through Wi-Fi to Dreamoon's smartphone and Dreamoon follows them.
Each command is one of the following two types:
1. Go 1 unit towards the positive direction, denoted as '+' 1. Go 1 unit towards the negative direction, denoted as '-'
But the Wi-Fi condition is so poor that Dreamoon's smartphone reports some of the commands can't be recognized and Dreamoon knows that some of them might even be wrong though successfully recognized. Dreamoon decides to follow every recognized command and toss a fair coin to decide those unrecognized ones (that means, he moves to the 1 unit to the negative or positive direction with the same probability 0.5).
You are given an original list of commands sent by Drazil and list received by Dreamoon. What is the probability that Dreamoon ends in the position originally supposed to be final by Drazil's commands? | The first line contains a string *s*1 — the commands Drazil sends to Dreamoon, this string consists of only the characters in the set {'+', '-'}.
The second line contains a string *s*2 — the commands Dreamoon's smartphone recognizes, this string consists of only the characters in the set {'+', '-', '?'}. '?' denotes an unrecognized command.
Lengths of two strings are equal and do not exceed 10. | Output a single real number corresponding to the probability. The answer will be considered correct if its relative or absolute error doesn't exceed 10<=-<=9. | [
"++-+-\n+-+-+\n",
"+-+-\n+-??\n",
"+++\n??-\n"
] | [
"1.000000000000\n",
"0.500000000000\n",
"0.000000000000\n"
] | For the first sample, both *s*<sub class="lower-index">1</sub> and *s*<sub class="lower-index">2</sub> will lead Dreamoon to finish at the same position + 1.
For the second sample, *s*<sub class="lower-index">1</sub> will lead Dreamoon to finish at position 0, while there are four possibilites for *s*<sub class="lower-index">2</sub>: {"+-++", "+-+-", "+--+", "+---"} with ending position {+2, 0, 0, -2} respectively. So there are 2 correct cases out of 4, so the probability of finishing at the correct position is 0.5.
For the third sample, *s*<sub class="lower-index">2</sub> could only lead us to finish at positions {+1, -1, -3}, so the probability to finish at the correct position + 3 is 0. | 1,500 | [
{
"input": "++-+-\n+-+-+",
"output": "1.000000000000"
},
{
"input": "+-+-\n+-??",
"output": "0.500000000000"
},
{
"input": "+++\n??-",
"output": "0.000000000000"
},
{
"input": "++++++++++\n+++??++?++",
"output": "0.125000000000"
},
{
"input": "--+++---+-\n????????... | 1,660,120,140 | 2,147,483,647 | Python 3 | OK | TESTS | 31 | 46 | 0 |
if __name__ == "__main__":
Drazil = input()
Dreamoon = input()
Anonymous = 0
CountPos1 = 0
CountPos2 = 0
CountNe1 = 0
CountNe2 = 0
for i in Drazil:
if i == '+': CountPos1 += 1
else: CountNe1 += 1
for i in Dreamoon:
if i == '+': CountPos2 += 1
elif i == '-':CountNe2 += 1
else: Anonymous += 1
NeedPos = CountPos1 - CountPos2
NeedNe = CountNe1 - CountNe2
if NeedPos == NeedNe == 0:
print(float(1))
else:
x = 0
for i in range(1<<Anonymous):
countbit1 = 0
countbit0 = 0
if i == 0:
countbit0 = Anonymous
# trafer to binary
tmp = i
while tmp:
d = tmp % 2
if d == 1: countbit1 += 1
else: countbit0 += 1
tmp = tmp//2
if countbit0 + countbit1 != Anonymous:
countbit0 += Anonymous - (countbit0 + countbit1)
if countbit1 == NeedPos and countbit0 == NeedNe:
x += 1
r = float(x/( (1<<Anonymous)))
print("%.9f" %r) | Title: Dreamoon and WiFi
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Dreamoon is standing at the position 0 on a number line. Drazil is sending a list of commands through Wi-Fi to Dreamoon's smartphone and Dreamoon follows them.
Each command is one of the following two types:
1. Go 1 unit towards the positive direction, denoted as '+' 1. Go 1 unit towards the negative direction, denoted as '-'
But the Wi-Fi condition is so poor that Dreamoon's smartphone reports some of the commands can't be recognized and Dreamoon knows that some of them might even be wrong though successfully recognized. Dreamoon decides to follow every recognized command and toss a fair coin to decide those unrecognized ones (that means, he moves to the 1 unit to the negative or positive direction with the same probability 0.5).
You are given an original list of commands sent by Drazil and list received by Dreamoon. What is the probability that Dreamoon ends in the position originally supposed to be final by Drazil's commands?
Input Specification:
The first line contains a string *s*1 — the commands Drazil sends to Dreamoon, this string consists of only the characters in the set {'+', '-'}.
The second line contains a string *s*2 — the commands Dreamoon's smartphone recognizes, this string consists of only the characters in the set {'+', '-', '?'}. '?' denotes an unrecognized command.
Lengths of two strings are equal and do not exceed 10.
Output Specification:
Output a single real number corresponding to the probability. The answer will be considered correct if its relative or absolute error doesn't exceed 10<=-<=9.
Demo Input:
['++-+-\n+-+-+\n', '+-+-\n+-??\n', '+++\n??-\n']
Demo Output:
['1.000000000000\n', '0.500000000000\n', '0.000000000000\n']
Note:
For the first sample, both *s*<sub class="lower-index">1</sub> and *s*<sub class="lower-index">2</sub> will lead Dreamoon to finish at the same position + 1.
For the second sample, *s*<sub class="lower-index">1</sub> will lead Dreamoon to finish at position 0, while there are four possibilites for *s*<sub class="lower-index">2</sub>: {"+-++", "+-+-", "+--+", "+---"} with ending position {+2, 0, 0, -2} respectively. So there are 2 correct cases out of 4, so the probability of finishing at the correct position is 0.5.
For the third sample, *s*<sub class="lower-index">2</sub> could only lead us to finish at positions {+1, -1, -3}, so the probability to finish at the correct position + 3 is 0. | ```python
if __name__ == "__main__":
Drazil = input()
Dreamoon = input()
Anonymous = 0
CountPos1 = 0
CountPos2 = 0
CountNe1 = 0
CountNe2 = 0
for i in Drazil:
if i == '+': CountPos1 += 1
else: CountNe1 += 1
for i in Dreamoon:
if i == '+': CountPos2 += 1
elif i == '-':CountNe2 += 1
else: Anonymous += 1
NeedPos = CountPos1 - CountPos2
NeedNe = CountNe1 - CountNe2
if NeedPos == NeedNe == 0:
print(float(1))
else:
x = 0
for i in range(1<<Anonymous):
countbit1 = 0
countbit0 = 0
if i == 0:
countbit0 = Anonymous
# trafer to binary
tmp = i
while tmp:
d = tmp % 2
if d == 1: countbit1 += 1
else: countbit0 += 1
tmp = tmp//2
if countbit0 + countbit1 != Anonymous:
countbit0 += Anonymous - (countbit0 + countbit1)
if countbit1 == NeedPos and countbit0 == NeedNe:
x += 1
r = float(x/( (1<<Anonymous)))
print("%.9f" %r)
``` | 3 | |
80 | A | Panoramix's Prediction | PROGRAMMING | 800 | [
"brute force"
] | A. Panoramix's Prediction | 2 | 256 | A prime number is a number which has exactly two distinct divisors: one and itself. For example, numbers 2, 7, 3 are prime, and 1, 6, 4 are not.
The next prime number after *x* is the smallest prime number greater than *x*. For example, the next prime number after 2 is 3, and the next prime number after 3 is 5. Note that there is exactly one next prime number after each number. So 5 is not the next prime number for 2.
One cold April morning Panoramix predicted that soon Kakofonix will break free from his straitjacket, and this will be a black day for the residents of the Gallic countryside.
Panoramix's prophecy tells that if some day Asterix and Obelix beat exactly *x* Roman soldiers, where *x* is a prime number, and next day they beat exactly *y* Roman soldiers, where *y* is the next prime number after *x*, then it's time to wait for Armageddon, for nothing can shut Kakofonix up while he sings his infernal song.
Yesterday the Gauls beat *n* Roman soldiers and it turned out that the number *n* was prime! Today their victims were a troop of *m* Romans (*m*<=><=*n*). Determine whether the Gauls should wait for the black day after today's victory of Asterix and Obelix? | The first and only input line contains two positive integers — *n* and *m* (2<=≤<=*n*<=<<=*m*<=≤<=50). It is guaranteed that *n* is prime.
Pretests contain all the cases with restrictions 2<=≤<=*n*<=<<=*m*<=≤<=4. | Print YES, if *m* is the next prime number after *n*, or NO otherwise. | [
"3 5\n",
"7 11\n",
"7 9\n"
] | [
"YES",
"YES",
"NO"
] | none | 500 | [
{
"input": "3 5",
"output": "YES"
},
{
"input": "7 11",
"output": "YES"
},
{
"input": "7 9",
"output": "NO"
},
{
"input": "2 3",
"output": "YES"
},
{
"input": "2 4",
"output": "NO"
},
{
"input": "3 4",
"output": "NO"
},
{
"input": "3 5",
... | 1,580,322,081 | 2,147,483,647 | Python 3 | OK | TESTS | 45 | 218 | 0 | n, m = list(map(int,input().split()))
def Prime(x):
val = 2
while val * val <= x:
if x % val == 0:
return False
val += 1
return True
if n >= m or not Prime(m):
print('NO')
exit(0)
x = n + 1
while not Prime(x):
x += 1
if x != m:
print('NO')
else:
print('YES')
| Title: Panoramix's Prediction
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
A prime number is a number which has exactly two distinct divisors: one and itself. For example, numbers 2, 7, 3 are prime, and 1, 6, 4 are not.
The next prime number after *x* is the smallest prime number greater than *x*. For example, the next prime number after 2 is 3, and the next prime number after 3 is 5. Note that there is exactly one next prime number after each number. So 5 is not the next prime number for 2.
One cold April morning Panoramix predicted that soon Kakofonix will break free from his straitjacket, and this will be a black day for the residents of the Gallic countryside.
Panoramix's prophecy tells that if some day Asterix and Obelix beat exactly *x* Roman soldiers, where *x* is a prime number, and next day they beat exactly *y* Roman soldiers, where *y* is the next prime number after *x*, then it's time to wait for Armageddon, for nothing can shut Kakofonix up while he sings his infernal song.
Yesterday the Gauls beat *n* Roman soldiers and it turned out that the number *n* was prime! Today their victims were a troop of *m* Romans (*m*<=><=*n*). Determine whether the Gauls should wait for the black day after today's victory of Asterix and Obelix?
Input Specification:
The first and only input line contains two positive integers — *n* and *m* (2<=≤<=*n*<=<<=*m*<=≤<=50). It is guaranteed that *n* is prime.
Pretests contain all the cases with restrictions 2<=≤<=*n*<=<<=*m*<=≤<=4.
Output Specification:
Print YES, if *m* is the next prime number after *n*, or NO otherwise.
Demo Input:
['3 5\n', '7 11\n', '7 9\n']
Demo Output:
['YES', 'YES', 'NO']
Note:
none | ```python
n, m = list(map(int,input().split()))
def Prime(x):
val = 2
while val * val <= x:
if x % val == 0:
return False
val += 1
return True
if n >= m or not Prime(m):
print('NO')
exit(0)
x = n + 1
while not Prime(x):
x += 1
if x != m:
print('NO')
else:
print('YES')
``` | 3.9455 |
41 | A | Translation | PROGRAMMING | 800 | [
"implementation",
"strings"
] | A. Translation | 2 | 256 | The translation from the Berland language into the Birland language is not an easy task. Those languages are very similar: a berlandish word differs from a birlandish word with the same meaning a little: it is spelled (and pronounced) reversely. For example, a Berlandish word code corresponds to a Birlandish word edoc. However, it's easy to make a mistake during the «translation». Vasya translated word *s* from Berlandish into Birlandish as *t*. Help him: find out if he translated the word correctly. | The first line contains word *s*, the second line contains word *t*. The words consist of lowercase Latin letters. The input data do not consist unnecessary spaces. The words are not empty and their lengths do not exceed 100 symbols. | If the word *t* is a word *s*, written reversely, print YES, otherwise print NO. | [
"code\nedoc\n",
"abb\naba\n",
"code\ncode\n"
] | [
"YES\n",
"NO\n",
"NO\n"
] | none | 500 | [
{
"input": "code\nedoc",
"output": "YES"
},
{
"input": "abb\naba",
"output": "NO"
},
{
"input": "code\ncode",
"output": "NO"
},
{
"input": "abacaba\nabacaba",
"output": "YES"
},
{
"input": "q\nq",
"output": "YES"
},
{
"input": "asrgdfngfnmfgnhweratgjkk... | 1,636,083,982 | 2,147,483,647 | Python 3 | OK | TESTS | 40 | 124 | 4,300,800 | ##i1 = input('').lower()
##i2 = input('').lower()
##if i1< i2:
## print('-1')
##elif i1 > i2:
## print('1')
##else:
## print('0')
##line = input('')
##verdict = 'NO'
##for i in range(0, len(line), 1):
## if line[i:i+7]== line[i]*7:
## verdict = 'YES'
##print(verdict)
##n = int(input(''))
##t = 0
##numrooms = 0
##while t != n:
## p, q = [int(t) for t in input('').split(' ')]
## if p + 2 <= q:
## numrooms = numrooms + 1
## t = t+1
##print(numrooms)
s = input('')
t = input('')
if t == s[::-1]:
print("YES")
else:
print('NO')
| Title: Translation
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
The translation from the Berland language into the Birland language is not an easy task. Those languages are very similar: a berlandish word differs from a birlandish word with the same meaning a little: it is spelled (and pronounced) reversely. For example, a Berlandish word code corresponds to a Birlandish word edoc. However, it's easy to make a mistake during the «translation». Vasya translated word *s* from Berlandish into Birlandish as *t*. Help him: find out if he translated the word correctly.
Input Specification:
The first line contains word *s*, the second line contains word *t*. The words consist of lowercase Latin letters. The input data do not consist unnecessary spaces. The words are not empty and their lengths do not exceed 100 symbols.
Output Specification:
If the word *t* is a word *s*, written reversely, print YES, otherwise print NO.
Demo Input:
['code\nedoc\n', 'abb\naba\n', 'code\ncode\n']
Demo Output:
['YES\n', 'NO\n', 'NO\n']
Note:
none | ```python
##i1 = input('').lower()
##i2 = input('').lower()
##if i1< i2:
## print('-1')
##elif i1 > i2:
## print('1')
##else:
## print('0')
##line = input('')
##verdict = 'NO'
##for i in range(0, len(line), 1):
## if line[i:i+7]== line[i]*7:
## verdict = 'YES'
##print(verdict)
##n = int(input(''))
##t = 0
##numrooms = 0
##while t != n:
## p, q = [int(t) for t in input('').split(' ')]
## if p + 2 <= q:
## numrooms = numrooms + 1
## t = t+1
##print(numrooms)
s = input('')
t = input('')
if t == s[::-1]:
print("YES")
else:
print('NO')
``` | 3.960989 |
442 | B | Andrey and Problem | PROGRAMMING | 1,800 | [
"greedy",
"math",
"probabilities"
] | null | null | Andrey needs one more problem to conduct a programming contest. He has *n* friends who are always willing to help. He can ask some of them to come up with a contest problem. Andrey knows one value for each of his fiends — the probability that this friend will come up with a problem if Andrey asks him.
Help Andrey choose people to ask. As he needs only one problem, Andrey is going to be really upset if no one comes up with a problem or if he gets more than one problem from his friends. You need to choose such a set of people that maximizes the chances of Andrey not getting upset. | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of Andrey's friends. The second line contains *n* real numbers *p**i* (0.0<=≤<=*p**i*<=≤<=1.0) — the probability that the *i*-th friend can come up with a problem. The probabilities are given with at most 6 digits after decimal point. | Print a single real number — the probability that Andrey won't get upset at the optimal choice of friends. The answer will be considered valid if it differs from the correct one by at most 10<=-<=9. | [
"4\n0.1 0.2 0.3 0.8\n",
"2\n0.1 0.2\n"
] | [
"0.800000000000\n",
"0.260000000000\n"
] | In the first sample the best strategy for Andrey is to ask only one of his friends, the most reliable one.
In the second sample the best strategy for Andrey is to ask all of his friends to come up with a problem. Then the probability that he will get exactly one problem is 0.1·0.8 + 0.9·0.2 = 0.26. | 1,500 | [
{
"input": "4\n0.1 0.2 0.3 0.8",
"output": "0.800000000000"
},
{
"input": "2\n0.1 0.2",
"output": "0.260000000000"
},
{
"input": "1\n0.217266",
"output": "0.217266000000"
},
{
"input": "2\n0.608183 0.375030",
"output": "0.608183000000"
},
{
"input": "3\n0.388818 0... | 1,403,381,050 | 3,850 | Python 3 | WRONG_ANSWER | TESTS | 4 | 108 | 5,120,000 | from decimal import Decimal
d=[Decimal('0.0000000000000000000000000')]*123
n=int(input())
a=[0]+[Decimal('0.00000000000000000000000000')+Decimal(x) for x in input().split()]
for i in range(1,n+1):
if a[i]<0.5:
d[i]=max(d[i-1],d[i-1]*(1-a[i])+(1-d[i-1])*a[i])
else:
d[i]=max(d[i-1],a[i])
print(d[n])
| Title: Andrey and Problem
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Andrey needs one more problem to conduct a programming contest. He has *n* friends who are always willing to help. He can ask some of them to come up with a contest problem. Andrey knows one value for each of his fiends — the probability that this friend will come up with a problem if Andrey asks him.
Help Andrey choose people to ask. As he needs only one problem, Andrey is going to be really upset if no one comes up with a problem or if he gets more than one problem from his friends. You need to choose such a set of people that maximizes the chances of Andrey not getting upset.
Input Specification:
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of Andrey's friends. The second line contains *n* real numbers *p**i* (0.0<=≤<=*p**i*<=≤<=1.0) — the probability that the *i*-th friend can come up with a problem. The probabilities are given with at most 6 digits after decimal point.
Output Specification:
Print a single real number — the probability that Andrey won't get upset at the optimal choice of friends. The answer will be considered valid if it differs from the correct one by at most 10<=-<=9.
Demo Input:
['4\n0.1 0.2 0.3 0.8\n', '2\n0.1 0.2\n']
Demo Output:
['0.800000000000\n', '0.260000000000\n']
Note:
In the first sample the best strategy for Andrey is to ask only one of his friends, the most reliable one.
In the second sample the best strategy for Andrey is to ask all of his friends to come up with a problem. Then the probability that he will get exactly one problem is 0.1·0.8 + 0.9·0.2 = 0.26. | ```python
from decimal import Decimal
d=[Decimal('0.0000000000000000000000000')]*123
n=int(input())
a=[0]+[Decimal('0.00000000000000000000000000')+Decimal(x) for x in input().split()]
for i in range(1,n+1):
if a[i]<0.5:
d[i]=max(d[i-1],d[i-1]*(1-a[i])+(1-d[i-1])*a[i])
else:
d[i]=max(d[i-1],a[i])
print(d[n])
``` | 0 | |
414 | B | Mashmokh and ACM | PROGRAMMING | 1,400 | [
"combinatorics",
"dp",
"number theory"
] | null | null | Mashmokh's boss, Bimokh, didn't like Mashmokh. So he fired him. Mashmokh decided to go to university and participate in ACM instead of finding a new job. He wants to become a member of Bamokh's team. In order to join he was given some programming tasks and one week to solve them. Mashmokh is not a very experienced programmer. Actually he is not a programmer at all. So he wasn't able to solve them. That's why he asked you to help him with these tasks. One of these tasks is the following.
A sequence of *l* integers *b*1,<=*b*2,<=...,<=*b**l* (1<=≤<=*b*1<=≤<=*b*2<=≤<=...<=≤<=*b**l*<=≤<=*n*) is called good if each number divides (without a remainder) by the next number in the sequence. More formally for all *i* (1<=≤<=*i*<=≤<=*l*<=-<=1).
Given *n* and *k* find the number of good sequences of length *k*. As the answer can be rather large print it modulo 1000000007 (109<=+<=7). | The first line of input contains two space-separated integers *n*,<=*k* (1<=≤<=*n*,<=*k*<=≤<=2000). | Output a single integer — the number of good sequences of length *k* modulo 1000000007 (109<=+<=7). | [
"3 2\n",
"6 4\n",
"2 1\n"
] | [
"5\n",
"39\n",
"2\n"
] | In the first sample the good sequences are: [1, 1], [2, 2], [3, 3], [1, 2], [1, 3]. | 1,000 | [
{
"input": "3 2",
"output": "5"
},
{
"input": "6 4",
"output": "39"
},
{
"input": "2 1",
"output": "2"
},
{
"input": "1478 194",
"output": "312087753"
},
{
"input": "1415 562",
"output": "953558593"
},
{
"input": "1266 844",
"output": "735042656"
... | 1,591,617,597 | 2,147,483,647 | PyPy 3 | TIME_LIMIT_EXCEEDED | TESTS | 14 | 1,000 | 10,649,600 | from sys import *
val = 1000000007
def solve(n, k, div):
if(k == 1):
d = {}
for i in range(1, n+1):
d[i] = 1
return d
d = {}
for i in range(1, n+1):
d[i] = 1
k -= 1
#d = solve(n, k-1, div)
while(k > 0):
b = {}
for i in range(1, n+1):
for j in div[i]:
b[i] = (b.get(i, 0) + d[j]) % val
k -= 1
d = b.copy()
return b
test = 1
# test = int(input())
for t in range(0, test):
# brr = [list(map(int,input().split())) for i in range(rows)] # 2D array row-wise input
# n = int(input())
n, k = list(map(int, input().split()))
# arr = [int(x) for x in input().split()]
from time import perf_counter
t0 = perf_counter() # START
div = {}
for i in range(1, n+1):
div[i] = []
for i in range(1, n+1):
j = i
while(j < n+1):
div[j].append(i)
j += i
t1 = perf_counter() # STOP
time = t1-t0
# print(time)
from time import perf_counter
t0 = perf_counter() # START
ans = solve(n, k, div)
print(sum(ans.values()) % val)
t1 = perf_counter() # STOP
time = t1-t0
# print(time)
'''
rows, cols = (5, 5)
arr = [[0]*cols for j in range(rows)] # 2D array initialization
b=input().split() # list created by spliting about spaces
brr = [[int(b[cols*i+j]) for j in range(cols)] for i in range(rows)] # 2D array Linear Input
rows,cols=len(brr),len(brr[0]) # no of rows/cols for 2D array
arr.sort(key = lambda x : x[1]) # sort list of tuples by 2nd element, Default priority - 1st Element then 2nd Element
s=set() # empty set
a=maxsize # initializing infinity
b=-maxsize # initializing -infinity
mapped=list(map(function,input)) # to apply function to list element-wise
try: # Error handling
#code 1
except: # ex. to stop at EOF
#code 2 , if error occurs
'''
| Title: Mashmokh and ACM
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Mashmokh's boss, Bimokh, didn't like Mashmokh. So he fired him. Mashmokh decided to go to university and participate in ACM instead of finding a new job. He wants to become a member of Bamokh's team. In order to join he was given some programming tasks and one week to solve them. Mashmokh is not a very experienced programmer. Actually he is not a programmer at all. So he wasn't able to solve them. That's why he asked you to help him with these tasks. One of these tasks is the following.
A sequence of *l* integers *b*1,<=*b*2,<=...,<=*b**l* (1<=≤<=*b*1<=≤<=*b*2<=≤<=...<=≤<=*b**l*<=≤<=*n*) is called good if each number divides (without a remainder) by the next number in the sequence. More formally for all *i* (1<=≤<=*i*<=≤<=*l*<=-<=1).
Given *n* and *k* find the number of good sequences of length *k*. As the answer can be rather large print it modulo 1000000007 (109<=+<=7).
Input Specification:
The first line of input contains two space-separated integers *n*,<=*k* (1<=≤<=*n*,<=*k*<=≤<=2000).
Output Specification:
Output a single integer — the number of good sequences of length *k* modulo 1000000007 (109<=+<=7).
Demo Input:
['3 2\n', '6 4\n', '2 1\n']
Demo Output:
['5\n', '39\n', '2\n']
Note:
In the first sample the good sequences are: [1, 1], [2, 2], [3, 3], [1, 2], [1, 3]. | ```python
from sys import *
val = 1000000007
def solve(n, k, div):
if(k == 1):
d = {}
for i in range(1, n+1):
d[i] = 1
return d
d = {}
for i in range(1, n+1):
d[i] = 1
k -= 1
#d = solve(n, k-1, div)
while(k > 0):
b = {}
for i in range(1, n+1):
for j in div[i]:
b[i] = (b.get(i, 0) + d[j]) % val
k -= 1
d = b.copy()
return b
test = 1
# test = int(input())
for t in range(0, test):
# brr = [list(map(int,input().split())) for i in range(rows)] # 2D array row-wise input
# n = int(input())
n, k = list(map(int, input().split()))
# arr = [int(x) for x in input().split()]
from time import perf_counter
t0 = perf_counter() # START
div = {}
for i in range(1, n+1):
div[i] = []
for i in range(1, n+1):
j = i
while(j < n+1):
div[j].append(i)
j += i
t1 = perf_counter() # STOP
time = t1-t0
# print(time)
from time import perf_counter
t0 = perf_counter() # START
ans = solve(n, k, div)
print(sum(ans.values()) % val)
t1 = perf_counter() # STOP
time = t1-t0
# print(time)
'''
rows, cols = (5, 5)
arr = [[0]*cols for j in range(rows)] # 2D array initialization
b=input().split() # list created by spliting about spaces
brr = [[int(b[cols*i+j]) for j in range(cols)] for i in range(rows)] # 2D array Linear Input
rows,cols=len(brr),len(brr[0]) # no of rows/cols for 2D array
arr.sort(key = lambda x : x[1]) # sort list of tuples by 2nd element, Default priority - 1st Element then 2nd Element
s=set() # empty set
a=maxsize # initializing infinity
b=-maxsize # initializing -infinity
mapped=list(map(function,input)) # to apply function to list element-wise
try: # Error handling
#code 1
except: # ex. to stop at EOF
#code 2 , if error occurs
'''
``` | 0 | |
478 | B | Random Teams | PROGRAMMING | 1,300 | [
"combinatorics",
"constructive algorithms",
"greedy",
"math"
] | null | null | *n* participants of the competition were split into *m* teams in some manner so that each team has at least one participant. After the competition each pair of participants from the same team became friends.
Your task is to write a program that will find the minimum and the maximum number of pairs of friends that could have formed by the end of the competition. | The only line of input contains two integers *n* and *m*, separated by a single space (1<=≤<=*m*<=≤<=*n*<=≤<=109) — the number of participants and the number of teams respectively. | The only line of the output should contain two integers *k**min* and *k**max* — the minimum possible number of pairs of friends and the maximum possible number of pairs of friends respectively. | [
"5 1\n",
"3 2\n",
"6 3\n"
] | [
"10 10\n",
"1 1\n",
"3 6\n"
] | In the first sample all the participants get into one team, so there will be exactly ten pairs of friends.
In the second sample at any possible arrangement one team will always have two participants and the other team will always have one participant. Thus, the number of pairs of friends will always be equal to one.
In the third sample minimum number of newly formed friendships can be achieved if participants were split on teams consisting of 2 people, maximum number can be achieved if participants were split on teams of 1, 1 and 4 people. | 1,000 | [
{
"input": "5 1",
"output": "10 10"
},
{
"input": "3 2",
"output": "1 1"
},
{
"input": "6 3",
"output": "3 6"
},
{
"input": "5 3",
"output": "2 3"
},
{
"input": "10 2",
"output": "20 36"
},
{
"input": "10 6",
"output": "4 10"
},
{
"input": ... | 1,684,699,580 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 5 | 46 | 0 | from math import ceil, comb
from sys import stdin
n, m = map(int, stdin.readline().split())
x = ceil(n / m)
k_min = comb(x, 2) * (m - 1) + comb(n - x * (m - 1), 2)
k_max = comb(n - m + 1, 2)
print(k_min, k_max)
| Title: Random Teams
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
*n* participants of the competition were split into *m* teams in some manner so that each team has at least one participant. After the competition each pair of participants from the same team became friends.
Your task is to write a program that will find the minimum and the maximum number of pairs of friends that could have formed by the end of the competition.
Input Specification:
The only line of input contains two integers *n* and *m*, separated by a single space (1<=≤<=*m*<=≤<=*n*<=≤<=109) — the number of participants and the number of teams respectively.
Output Specification:
The only line of the output should contain two integers *k**min* and *k**max* — the minimum possible number of pairs of friends and the maximum possible number of pairs of friends respectively.
Demo Input:
['5 1\n', '3 2\n', '6 3\n']
Demo Output:
['10 10\n', '1 1\n', '3 6\n']
Note:
In the first sample all the participants get into one team, so there will be exactly ten pairs of friends.
In the second sample at any possible arrangement one team will always have two participants and the other team will always have one participant. Thus, the number of pairs of friends will always be equal to one.
In the third sample minimum number of newly formed friendships can be achieved if participants were split on teams consisting of 2 people, maximum number can be achieved if participants were split on teams of 1, 1 and 4 people. | ```python
from math import ceil, comb
from sys import stdin
n, m = map(int, stdin.readline().split())
x = ceil(n / m)
k_min = comb(x, 2) * (m - 1) + comb(n - x * (m - 1), 2)
k_max = comb(n - m + 1, 2)
print(k_min, k_max)
``` | 0 | |
1,011 | A | Stages | PROGRAMMING | 900 | [
"greedy",
"implementation",
"sortings"
] | null | null | Natasha is going to fly to Mars. She needs to build a rocket, which consists of several stages in some order. Each of the stages is defined by a lowercase Latin letter. This way, the rocket can be described by the string — concatenation of letters, which correspond to the stages.
There are $n$ stages available. The rocket must contain exactly $k$ of them. Stages in the rocket should be ordered by their weight. So, after the stage with some letter can go only stage with a letter, which is at least two positions after in the alphabet (skipping one letter in between, or even more). For example, after letter 'c' can't go letters 'a', 'b', 'c' and 'd', but can go letters 'e', 'f', ..., 'z'.
For the rocket to fly as far as possible, its weight should be minimal. The weight of the rocket is equal to the sum of the weights of its stages. The weight of the stage is the number of its letter in the alphabet. For example, the stage 'a 'weighs one ton,' b 'weighs two tons, and' z' — $26$ tons.
Build the rocket with the minimal weight or determine, that it is impossible to build a rocket at all. Each stage can be used at most once. | The first line of input contains two integers — $n$ and $k$ ($1 \le k \le n \le 50$) – the number of available stages and the number of stages to use in the rocket.
The second line contains string $s$, which consists of exactly $n$ lowercase Latin letters. Each letter defines a new stage, which can be used to build the rocket. Each stage can be used at most once. | Print a single integer — the minimal total weight of the rocket or -1, if it is impossible to build the rocket at all. | [
"5 3\nxyabd\n",
"7 4\nproblem\n",
"2 2\nab\n",
"12 1\nabaabbaaabbb\n"
] | [
"29",
"34",
"-1",
"1"
] | In the first example, the following rockets satisfy the condition:
- "adx" (weight is $1+4+24=29$);- "ady" (weight is $1+4+25=30$);- "bdx" (weight is $2+4+24=30$);- "bdy" (weight is $2+4+25=31$).
Rocket "adx" has the minimal weight, so the answer is $29$.
In the second example, target rocket is "belo". Its weight is $2+5+12+15=34$.
In the third example, $n=k=2$, so the rocket must have both stages: 'a' and 'b'. This rocket doesn't satisfy the condition, because these letters are adjacent in the alphabet. Answer is -1. | 500 | [
{
"input": "5 3\nxyabd",
"output": "29"
},
{
"input": "7 4\nproblem",
"output": "34"
},
{
"input": "2 2\nab",
"output": "-1"
},
{
"input": "12 1\nabaabbaaabbb",
"output": "1"
},
{
"input": "50 13\nqwertyuiopasdfghjklzxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa",
"output": ... | 1,550,758,306 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 4 | 1,000 | 0 | from itertools import permutations
_, k = [int(a) for a in input().split()]
s = input()
def weight(letter):
return ord(letter) - ord("a") + 1
possibilities = permutations(s, k)
val = []
for p in possibilities:
f = True
for n in range(len(p) - 1):
if ord(p[n]) >= ord(p[n+1]) - 1:
f = False
break
if not f:
continue
val.append(sum([weight(a) for a in p]))
print(min(val) if len(val) > 0 else -1) | Title: Stages
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Natasha is going to fly to Mars. She needs to build a rocket, which consists of several stages in some order. Each of the stages is defined by a lowercase Latin letter. This way, the rocket can be described by the string — concatenation of letters, which correspond to the stages.
There are $n$ stages available. The rocket must contain exactly $k$ of them. Stages in the rocket should be ordered by their weight. So, after the stage with some letter can go only stage with a letter, which is at least two positions after in the alphabet (skipping one letter in between, or even more). For example, after letter 'c' can't go letters 'a', 'b', 'c' and 'd', but can go letters 'e', 'f', ..., 'z'.
For the rocket to fly as far as possible, its weight should be minimal. The weight of the rocket is equal to the sum of the weights of its stages. The weight of the stage is the number of its letter in the alphabet. For example, the stage 'a 'weighs one ton,' b 'weighs two tons, and' z' — $26$ tons.
Build the rocket with the minimal weight or determine, that it is impossible to build a rocket at all. Each stage can be used at most once.
Input Specification:
The first line of input contains two integers — $n$ and $k$ ($1 \le k \le n \le 50$) – the number of available stages and the number of stages to use in the rocket.
The second line contains string $s$, which consists of exactly $n$ lowercase Latin letters. Each letter defines a new stage, which can be used to build the rocket. Each stage can be used at most once.
Output Specification:
Print a single integer — the minimal total weight of the rocket or -1, if it is impossible to build the rocket at all.
Demo Input:
['5 3\nxyabd\n', '7 4\nproblem\n', '2 2\nab\n', '12 1\nabaabbaaabbb\n']
Demo Output:
['29', '34', '-1', '1']
Note:
In the first example, the following rockets satisfy the condition:
- "adx" (weight is $1+4+24=29$);- "ady" (weight is $1+4+25=30$);- "bdx" (weight is $2+4+24=30$);- "bdy" (weight is $2+4+25=31$).
Rocket "adx" has the minimal weight, so the answer is $29$.
In the second example, target rocket is "belo". Its weight is $2+5+12+15=34$.
In the third example, $n=k=2$, so the rocket must have both stages: 'a' and 'b'. This rocket doesn't satisfy the condition, because these letters are adjacent in the alphabet. Answer is -1. | ```python
from itertools import permutations
_, k = [int(a) for a in input().split()]
s = input()
def weight(letter):
return ord(letter) - ord("a") + 1
possibilities = permutations(s, k)
val = []
for p in possibilities:
f = True
for n in range(len(p) - 1):
if ord(p[n]) >= ord(p[n+1]) - 1:
f = False
break
if not f:
continue
val.append(sum([weight(a) for a in p]))
print(min(val) if len(val) > 0 else -1)
``` | 0 | |
994 | A | Fingerprints | PROGRAMMING | 800 | [
"implementation"
] | null | null | You are locked in a room with a door that has a keypad with 10 keys corresponding to digits from 0 to 9. To escape from the room, you need to enter a correct code. You also have a sequence of digits.
Some keys on the keypad have fingerprints. You believe the correct code is the longest not necessarily contiguous subsequence of the sequence you have that only contains digits with fingerprints on the corresponding keys. Find such code. | The first line contains two integers $n$ and $m$ ($1 \le n, m \le 10$) representing the number of digits in the sequence you have and the number of keys on the keypad that have fingerprints.
The next line contains $n$ distinct space-separated integers $x_1, x_2, \ldots, x_n$ ($0 \le x_i \le 9$) representing the sequence.
The next line contains $m$ distinct space-separated integers $y_1, y_2, \ldots, y_m$ ($0 \le y_i \le 9$) — the keys with fingerprints. | In a single line print a space-separated sequence of integers representing the code. If the resulting sequence is empty, both printing nothing and printing a single line break is acceptable. | [
"7 3\n3 5 7 1 6 2 8\n1 2 7\n",
"4 4\n3 4 1 0\n0 1 7 9\n"
] | [
"7 1 2\n",
"1 0\n"
] | In the first example, the only digits with fingerprints are $1$, $2$ and $7$. All three of them appear in the sequence you know, $7$ first, then $1$ and then $2$. Therefore the output is 7 1 2. Note that the order is important, and shall be the same as the order in the original sequence.
In the second example digits $0$, $1$, $7$ and $9$ have fingerprints, however only $0$ and $1$ appear in the original sequence. $1$ appears earlier, so the output is 1 0. Again, the order is important. | 500 | [
{
"input": "7 3\n3 5 7 1 6 2 8\n1 2 7",
"output": "7 1 2"
},
{
"input": "4 4\n3 4 1 0\n0 1 7 9",
"output": "1 0"
},
{
"input": "9 4\n9 8 7 6 5 4 3 2 1\n2 4 6 8",
"output": "8 6 4 2"
},
{
"input": "10 5\n3 7 1 2 4 6 9 0 5 8\n4 3 0 7 9",
"output": "3 7 4 9 0"
},
{
"... | 1,618,377,739 | 2,147,483,647 | Python 3 | OK | TESTS | 31 | 62 | 0 | n,m=list(map(int,input().split()))
l1=list(map(int,input().split()))
l2=list(map(int,input().split()))
l2.sort()
l2.reverse()
for i in l1:
if i in l2:
print(i,end=" ") | Title: Fingerprints
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are locked in a room with a door that has a keypad with 10 keys corresponding to digits from 0 to 9. To escape from the room, you need to enter a correct code. You also have a sequence of digits.
Some keys on the keypad have fingerprints. You believe the correct code is the longest not necessarily contiguous subsequence of the sequence you have that only contains digits with fingerprints on the corresponding keys. Find such code.
Input Specification:
The first line contains two integers $n$ and $m$ ($1 \le n, m \le 10$) representing the number of digits in the sequence you have and the number of keys on the keypad that have fingerprints.
The next line contains $n$ distinct space-separated integers $x_1, x_2, \ldots, x_n$ ($0 \le x_i \le 9$) representing the sequence.
The next line contains $m$ distinct space-separated integers $y_1, y_2, \ldots, y_m$ ($0 \le y_i \le 9$) — the keys with fingerprints.
Output Specification:
In a single line print a space-separated sequence of integers representing the code. If the resulting sequence is empty, both printing nothing and printing a single line break is acceptable.
Demo Input:
['7 3\n3 5 7 1 6 2 8\n1 2 7\n', '4 4\n3 4 1 0\n0 1 7 9\n']
Demo Output:
['7 1 2\n', '1 0\n']
Note:
In the first example, the only digits with fingerprints are $1$, $2$ and $7$. All three of them appear in the sequence you know, $7$ first, then $1$ and then $2$. Therefore the output is 7 1 2. Note that the order is important, and shall be the same as the order in the original sequence.
In the second example digits $0$, $1$, $7$ and $9$ have fingerprints, however only $0$ and $1$ appear in the original sequence. $1$ appears earlier, so the output is 1 0. Again, the order is important. | ```python
n,m=list(map(int,input().split()))
l1=list(map(int,input().split()))
l2=list(map(int,input().split()))
l2.sort()
l2.reverse()
for i in l1:
if i in l2:
print(i,end=" ")
``` | 3 | |
12 | A | Super Agent | PROGRAMMING | 800 | [
"implementation"
] | A. Super Agent | 2 | 256 | There is a very secret base in Potatoland where potato mash is made according to a special recipe. The neighbours from Porridgia decided to seize this recipe and to sell it to Pilauland. For this mission they have been preparing special agent Pearlo for many years. When, finally, Pearlo learned all secrets of espionage, he penetrated into the Potatoland territory and reached the secret base.
Now he is standing at the entrance, but to get inside he need to pass combination lock. Minute ago one of the workers entered the password on the terminal and opened the door. The terminal is a square digital keyboard 3<=×<=3 with digits from 1 to 9.
Pearlo knows that the password consists from distinct digits and is probably symmetric with respect to the central button of the terminal. He has heat sensor which allowed him to detect the digits which the worker pressed. Now he wants to check whether the password entered by the worker is symmetric with respect to the central button of the terminal. This fact can Help Pearlo to reduce the number of different possible password combinations. | Input contains the matrix of three rows of three symbols each. Symbol «X» means that the corresponding button was pressed, and «.» means that is was not pressed. The matrix may contain no «X», also it may contain no «.». | Print YES if the password is symmetric with respect to the central button of the terminal and NO otherwise. | [
"XX.\n...\n.XX\n",
"X.X\nX..\n...\n"
] | [
"YES\n",
"NO\n"
] | If you are not familiar with the term «central symmetry», you may look into http://en.wikipedia.org/wiki/Central_symmetry | 0 | [
{
"input": "XX.\n...\n.XX",
"output": "YES"
},
{
"input": ".X.\n.X.\n.X.",
"output": "YES"
},
{
"input": "XXX\nXXX\nXXX",
"output": "YES"
},
{
"input": "XXX\nX.X\nXXX",
"output": "YES"
},
{
"input": "X..\n.X.\n..X",
"output": "YES"
},
{
"input": "...\n... | 1,630,566,324 | 2,147,483,647 | PyPy 3 | RUNTIME_ERROR | TESTS | 1 | 216 | 22,220,800 | import sys
def check_password(arr):
last_idx = len(arr) - 1
for idx, char in enumerate(arr):
if char == 'X':
assert arr[last_idx - idx] == 'X', 'NO'
else:
print('YES')
password = sys.stdin.read().splitlines()
all_chars = list(''.join(password))
check_password(all_chars)
| Title: Super Agent
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
There is a very secret base in Potatoland where potato mash is made according to a special recipe. The neighbours from Porridgia decided to seize this recipe and to sell it to Pilauland. For this mission they have been preparing special agent Pearlo for many years. When, finally, Pearlo learned all secrets of espionage, he penetrated into the Potatoland territory and reached the secret base.
Now he is standing at the entrance, but to get inside he need to pass combination lock. Minute ago one of the workers entered the password on the terminal and opened the door. The terminal is a square digital keyboard 3<=×<=3 with digits from 1 to 9.
Pearlo knows that the password consists from distinct digits and is probably symmetric with respect to the central button of the terminal. He has heat sensor which allowed him to detect the digits which the worker pressed. Now he wants to check whether the password entered by the worker is symmetric with respect to the central button of the terminal. This fact can Help Pearlo to reduce the number of different possible password combinations.
Input Specification:
Input contains the matrix of three rows of three symbols each. Symbol «X» means that the corresponding button was pressed, and «.» means that is was not pressed. The matrix may contain no «X», also it may contain no «.».
Output Specification:
Print YES if the password is symmetric with respect to the central button of the terminal and NO otherwise.
Demo Input:
['XX.\n...\n.XX\n', 'X.X\nX..\n...\n']
Demo Output:
['YES\n', 'NO\n']
Note:
If you are not familiar with the term «central symmetry», you may look into http://en.wikipedia.org/wiki/Central_symmetry | ```python
import sys
def check_password(arr):
last_idx = len(arr) - 1
for idx, char in enumerate(arr):
if char == 'X':
assert arr[last_idx - idx] == 'X', 'NO'
else:
print('YES')
password = sys.stdin.read().splitlines()
all_chars = list(''.join(password))
check_password(all_chars)
``` | -1 |
104 | A | Blackjack | PROGRAMMING | 800 | [
"implementation"
] | A. Blackjack | 2 | 256 | One rainy gloomy evening when all modules hid in the nearby cafes to drink hot energetic cocktails, the Hexadecimal virus decided to fly over the Mainframe to look for a Great Idea. And she has found one!
Why not make her own Codeforces, with blackjack and other really cool stuff? Many people will surely be willing to visit this splendid shrine of high culture.
In Mainframe a standard pack of 52 cards is used to play blackjack. The pack contains cards of 13 values: 2, 3, 4, 5, 6, 7, 8, 9, 10, jacks, queens, kings and aces. Each value also exists in one of four suits: hearts, diamonds, clubs and spades. Also, each card earns some value in points assigned to it: cards with value from two to ten earn from 2 to 10 points, correspondingly. An ace can either earn 1 or 11, whatever the player wishes. The picture cards (king, queen and jack) earn 10 points. The number of points a card earns does not depend on the suit. The rules of the game are very simple. The player gets two cards, if the sum of points of those cards equals *n*, then the player wins, otherwise the player loses.
The player has already got the first card, it's the queen of spades. To evaluate chances for victory, you should determine how many ways there are to get the second card so that the sum of points exactly equals *n*. | The only line contains *n* (1<=≤<=*n*<=≤<=25) — the required sum of points. | Print the numbers of ways to get the second card in the required way if the first card is the queen of spades. | [
"12\n",
"20\n",
"10\n"
] | [
"4",
"15",
"0"
] | In the first sample only four two's of different suits can earn the required sum of points.
In the second sample we can use all tens, jacks, queens and kings; overall it's 15 cards, as the queen of spades (as any other card) is only present once in the pack of cards and it's already in use.
In the third sample there is no card, that would add a zero to the current ten points. | 500 | [
{
"input": "12",
"output": "4"
},
{
"input": "20",
"output": "15"
},
{
"input": "10",
"output": "0"
},
{
"input": "11",
"output": "4"
},
{
"input": "15",
"output": "4"
},
{
"input": "18",
"output": "4"
},
{
"input": "25",
"output": "0"
... | 1,635,088,495 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 6 | 62 | 4,300,800 | n = int(input())
if 21 > n <= 10:
print(0)
else:
if n == 20:
print(15)
else:
print(4)
| Title: Blackjack
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
One rainy gloomy evening when all modules hid in the nearby cafes to drink hot energetic cocktails, the Hexadecimal virus decided to fly over the Mainframe to look for a Great Idea. And she has found one!
Why not make her own Codeforces, with blackjack and other really cool stuff? Many people will surely be willing to visit this splendid shrine of high culture.
In Mainframe a standard pack of 52 cards is used to play blackjack. The pack contains cards of 13 values: 2, 3, 4, 5, 6, 7, 8, 9, 10, jacks, queens, kings and aces. Each value also exists in one of four suits: hearts, diamonds, clubs and spades. Also, each card earns some value in points assigned to it: cards with value from two to ten earn from 2 to 10 points, correspondingly. An ace can either earn 1 or 11, whatever the player wishes. The picture cards (king, queen and jack) earn 10 points. The number of points a card earns does not depend on the suit. The rules of the game are very simple. The player gets two cards, if the sum of points of those cards equals *n*, then the player wins, otherwise the player loses.
The player has already got the first card, it's the queen of spades. To evaluate chances for victory, you should determine how many ways there are to get the second card so that the sum of points exactly equals *n*.
Input Specification:
The only line contains *n* (1<=≤<=*n*<=≤<=25) — the required sum of points.
Output Specification:
Print the numbers of ways to get the second card in the required way if the first card is the queen of spades.
Demo Input:
['12\n', '20\n', '10\n']
Demo Output:
['4', '15', '0']
Note:
In the first sample only four two's of different suits can earn the required sum of points.
In the second sample we can use all tens, jacks, queens and kings; overall it's 15 cards, as the queen of spades (as any other card) is only present once in the pack of cards and it's already in use.
In the third sample there is no card, that would add a zero to the current ten points. | ```python
n = int(input())
if 21 > n <= 10:
print(0)
else:
if n == 20:
print(15)
else:
print(4)
``` | 0 |
932 | A | Palindromic Supersequence | PROGRAMMING | 800 | [
"constructive algorithms"
] | null | null | You are given a string *A*. Find a string *B*, where *B* is a palindrome and *A* is a subsequence of *B*.
A subsequence of a string is a string that can be derived from it by deleting some (not necessarily consecutive) characters without changing the order of the remaining characters. For example, "cotst" is a subsequence of "contest".
A palindrome is a string that reads the same forward or backward.
The length of string *B* should be at most 104. It is guaranteed that there always exists such string.
You do not need to find the shortest answer, the only restriction is that the length of string *B* should not exceed 104. | First line contains a string *A* (1<=≤<=|*A*|<=≤<=103) consisting of lowercase Latin letters, where |*A*| is a length of *A*. | Output single line containing *B* consisting of only lowercase Latin letters. You do not need to find the shortest answer, the only restriction is that the length of string *B* should not exceed 104. If there are many possible *B*, print any of them. | [
"aba\n",
"ab\n"
] | [
"aba",
"aabaa"
] | In the first example, "aba" is a subsequence of "aba" which is a palindrome.
In the second example, "ab" is a subsequence of "aabaa" which is a palindrome. | 500 | [
{
"input": "aba",
"output": "abaaba"
},
{
"input": "ab",
"output": "abba"
},
{
"input": "krnyoixirslfszfqivgkaflgkctvbvksipwomqxlyqxhlbceuhbjbfnhofcgpgwdseffycthmlpcqejgskwjkbkbbmifnurnwyhevsoqzmtvzgfiqajfrgyuzxnrtxectcnlyoisbglpdbjbslxlpoymrcxmdtqhcnlvtqdwftuzgbdxsyscwbrguostbelnvtaqdmk... | 1,573,889,597 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 93 | 0 | a = str(input())
print(a+a[0]) | Title: Palindromic Supersequence
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given a string *A*. Find a string *B*, where *B* is a palindrome and *A* is a subsequence of *B*.
A subsequence of a string is a string that can be derived from it by deleting some (not necessarily consecutive) characters without changing the order of the remaining characters. For example, "cotst" is a subsequence of "contest".
A palindrome is a string that reads the same forward or backward.
The length of string *B* should be at most 104. It is guaranteed that there always exists such string.
You do not need to find the shortest answer, the only restriction is that the length of string *B* should not exceed 104.
Input Specification:
First line contains a string *A* (1<=≤<=|*A*|<=≤<=103) consisting of lowercase Latin letters, where |*A*| is a length of *A*.
Output Specification:
Output single line containing *B* consisting of only lowercase Latin letters. You do not need to find the shortest answer, the only restriction is that the length of string *B* should not exceed 104. If there are many possible *B*, print any of them.
Demo Input:
['aba\n', 'ab\n']
Demo Output:
['aba', 'aabaa']
Note:
In the first example, "aba" is a subsequence of "aba" which is a palindrome.
In the second example, "ab" is a subsequence of "aabaa" which is a palindrome. | ```python
a = str(input())
print(a+a[0])
``` | 0 |
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