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Provide tags and a correct Python 3 solution for this coding contest problem. A boy Valera registered on site Codeforces as Valera, and wrote his first Codeforces Round #300. He boasted to a friend Arkady about winning as much as x points for his first contest. But Arkady did not believe his friend's words and decided to check whether Valera could have shown such a result. He knows that the contest number 300 was unusual because there were only two problems. The contest lasted for t minutes, the minutes are numbered starting from zero. The first problem had the initial cost of a points, and every minute its cost reduced by da points. The second problem had the initial cost of b points, and every minute this cost reduced by db points. Thus, as soon as the zero minute of the contest is over, the first problem will cost a - da points, and the second problem will cost b - db points. It is guaranteed that at any moment of the contest each problem has a non-negative cost. Arkady asks you to find out whether Valera could have got exactly x points for this contest. You should assume that Valera could have solved any number of the offered problems. You should also assume that for each problem Valera made no more than one attempt, besides, he could have submitted both problems at the same minute of the contest, starting with minute 0 and ending with minute number t - 1. Please note that Valera can't submit a solution exactly t minutes after the start of the contest or later. Input The single line of the input contains six integers x, t, a, b, da, db (0 ≤ x ≤ 600; 1 ≤ t, a, b, da, db ≤ 300) — Valera's result, the contest's duration, the initial cost of the first problem, the initial cost of the second problem, the number of points that the first and the second problem lose per minute, correspondingly. It is guaranteed that at each minute of the contest each problem has a non-negative cost, that is, a - i·da ≥ 0 and b - i·db ≥ 0 for all 0 ≤ i ≤ t - 1. Output If Valera could have earned exactly x points at a contest, print "YES", otherwise print "NO" (without the quotes). Examples Input 30 5 20 20 3 5 Output YES Input 10 4 100 5 5 1 Output NO Note In the first sample Valera could have acted like this: he could have submitted the first problem at minute 0 and the second problem — at minute 2. Then the first problem brings him 20 points and the second problem brings him 10 points, that in total gives the required 30 points.
instruction
0
71,936
11
143,872
Tags: brute force, implementation Correct Solution: ``` x,t,a,b,c,d=map(int,input().split()) R=range(t) y=x==0 for i in R: if x==a-c*i or x==b-d*i:y=1 for j in R:y|=x==a+b-c*i-d*j print(['NO','YES'][y]) ```
output
1
71,936
11
143,873
Provide tags and a correct Python 3 solution for this coding contest problem. A boy Valera registered on site Codeforces as Valera, and wrote his first Codeforces Round #300. He boasted to a friend Arkady about winning as much as x points for his first contest. But Arkady did not believe his friend's words and decided to check whether Valera could have shown such a result. He knows that the contest number 300 was unusual because there were only two problems. The contest lasted for t minutes, the minutes are numbered starting from zero. The first problem had the initial cost of a points, and every minute its cost reduced by da points. The second problem had the initial cost of b points, and every minute this cost reduced by db points. Thus, as soon as the zero minute of the contest is over, the first problem will cost a - da points, and the second problem will cost b - db points. It is guaranteed that at any moment of the contest each problem has a non-negative cost. Arkady asks you to find out whether Valera could have got exactly x points for this contest. You should assume that Valera could have solved any number of the offered problems. You should also assume that for each problem Valera made no more than one attempt, besides, he could have submitted both problems at the same minute of the contest, starting with minute 0 and ending with minute number t - 1. Please note that Valera can't submit a solution exactly t minutes after the start of the contest or later. Input The single line of the input contains six integers x, t, a, b, da, db (0 ≤ x ≤ 600; 1 ≤ t, a, b, da, db ≤ 300) — Valera's result, the contest's duration, the initial cost of the first problem, the initial cost of the second problem, the number of points that the first and the second problem lose per minute, correspondingly. It is guaranteed that at each minute of the contest each problem has a non-negative cost, that is, a - i·da ≥ 0 and b - i·db ≥ 0 for all 0 ≤ i ≤ t - 1. Output If Valera could have earned exactly x points at a contest, print "YES", otherwise print "NO" (without the quotes). Examples Input 30 5 20 20 3 5 Output YES Input 10 4 100 5 5 1 Output NO Note In the first sample Valera could have acted like this: he could have submitted the first problem at minute 0 and the second problem — at minute 2. Then the first problem brings him 20 points and the second problem brings him 10 points, that in total gives the required 30 points.
instruction
0
71,937
11
143,874
Tags: brute force, implementation Correct Solution: ``` def gcd(a, b): c = a % b return gcd(b, c) if c else b x, t, a, b, da, db = map(int, input().split()) ans = 'NO' t -= 1 if x == 0: ans = 'YES' else: if a - t * da <= x <= a and (a - x) % da == 0: ans = 'YES' elif b - t * db <= x <= b and (b - x) % db == 0: ans = 'YES' elif a + b - t * (da + db) <= x <= a + b: n = a + b - x if n % gcd(da, db) == 0: for i in range(max(0, (n - t * db - 1) // da + 1), min(t, n // da) + 1): if (n - i * da) % db == 0: ans = 'YES' break print(ans) ```
output
1
71,937
11
143,875
Provide tags and a correct Python 3 solution for this coding contest problem. A boy Valera registered on site Codeforces as Valera, and wrote his first Codeforces Round #300. He boasted to a friend Arkady about winning as much as x points for his first contest. But Arkady did not believe his friend's words and decided to check whether Valera could have shown such a result. He knows that the contest number 300 was unusual because there were only two problems. The contest lasted for t minutes, the minutes are numbered starting from zero. The first problem had the initial cost of a points, and every minute its cost reduced by da points. The second problem had the initial cost of b points, and every minute this cost reduced by db points. Thus, as soon as the zero minute of the contest is over, the first problem will cost a - da points, and the second problem will cost b - db points. It is guaranteed that at any moment of the contest each problem has a non-negative cost. Arkady asks you to find out whether Valera could have got exactly x points for this contest. You should assume that Valera could have solved any number of the offered problems. You should also assume that for each problem Valera made no more than one attempt, besides, he could have submitted both problems at the same minute of the contest, starting with minute 0 and ending with minute number t - 1. Please note that Valera can't submit a solution exactly t minutes after the start of the contest or later. Input The single line of the input contains six integers x, t, a, b, da, db (0 ≤ x ≤ 600; 1 ≤ t, a, b, da, db ≤ 300) — Valera's result, the contest's duration, the initial cost of the first problem, the initial cost of the second problem, the number of points that the first and the second problem lose per minute, correspondingly. It is guaranteed that at each minute of the contest each problem has a non-negative cost, that is, a - i·da ≥ 0 and b - i·db ≥ 0 for all 0 ≤ i ≤ t - 1. Output If Valera could have earned exactly x points at a contest, print "YES", otherwise print "NO" (without the quotes). Examples Input 30 5 20 20 3 5 Output YES Input 10 4 100 5 5 1 Output NO Note In the first sample Valera could have acted like this: he could have submitted the first problem at minute 0 and the second problem — at minute 2. Then the first problem brings him 20 points and the second problem brings him 10 points, that in total gives the required 30 points.
instruction
0
71,938
11
143,876
Tags: brute force, implementation Correct Solution: ``` def solve(): x, t, a, b, da, db = map(int, input().split()) if x == 0: print("YES") return for i in range(t): f = a-i*da if f == x: print("YES") return for j in range(t): g = b-j*db if g == x or f+g == x: print("YES") return print("NO") solve() ```
output
1
71,938
11
143,877
Provide tags and a correct Python 3 solution for this coding contest problem. A boy Valera registered on site Codeforces as Valera, and wrote his first Codeforces Round #300. He boasted to a friend Arkady about winning as much as x points for his first contest. But Arkady did not believe his friend's words and decided to check whether Valera could have shown such a result. He knows that the contest number 300 was unusual because there were only two problems. The contest lasted for t minutes, the minutes are numbered starting from zero. The first problem had the initial cost of a points, and every minute its cost reduced by da points. The second problem had the initial cost of b points, and every minute this cost reduced by db points. Thus, as soon as the zero minute of the contest is over, the first problem will cost a - da points, and the second problem will cost b - db points. It is guaranteed that at any moment of the contest each problem has a non-negative cost. Arkady asks you to find out whether Valera could have got exactly x points for this contest. You should assume that Valera could have solved any number of the offered problems. You should also assume that for each problem Valera made no more than one attempt, besides, he could have submitted both problems at the same minute of the contest, starting with minute 0 and ending with minute number t - 1. Please note that Valera can't submit a solution exactly t minutes after the start of the contest or later. Input The single line of the input contains six integers x, t, a, b, da, db (0 ≤ x ≤ 600; 1 ≤ t, a, b, da, db ≤ 300) — Valera's result, the contest's duration, the initial cost of the first problem, the initial cost of the second problem, the number of points that the first and the second problem lose per minute, correspondingly. It is guaranteed that at each minute of the contest each problem has a non-negative cost, that is, a - i·da ≥ 0 and b - i·db ≥ 0 for all 0 ≤ i ≤ t - 1. Output If Valera could have earned exactly x points at a contest, print "YES", otherwise print "NO" (without the quotes). Examples Input 30 5 20 20 3 5 Output YES Input 10 4 100 5 5 1 Output NO Note In the first sample Valera could have acted like this: he could have submitted the first problem at minute 0 and the second problem — at minute 2. Then the first problem brings him 20 points and the second problem brings him 10 points, that in total gives the required 30 points.
instruction
0
71,939
11
143,878
Tags: brute force, implementation Correct Solution: ``` x, t, a, b, d1, d2 = map(int, input().split()) la, lb = [0] + [a-d1*i for i in range(t)], [0] + [b-d2*j for j in range(t)] for s in la: if x-s in lb: print("YES") break else: print("NO") ```
output
1
71,939
11
143,879
Provide tags and a correct Python 3 solution for this coding contest problem. A boy Valera registered on site Codeforces as Valera, and wrote his first Codeforces Round #300. He boasted to a friend Arkady about winning as much as x points for his first contest. But Arkady did not believe his friend's words and decided to check whether Valera could have shown such a result. He knows that the contest number 300 was unusual because there were only two problems. The contest lasted for t minutes, the minutes are numbered starting from zero. The first problem had the initial cost of a points, and every minute its cost reduced by da points. The second problem had the initial cost of b points, and every minute this cost reduced by db points. Thus, as soon as the zero minute of the contest is over, the first problem will cost a - da points, and the second problem will cost b - db points. It is guaranteed that at any moment of the contest each problem has a non-negative cost. Arkady asks you to find out whether Valera could have got exactly x points for this contest. You should assume that Valera could have solved any number of the offered problems. You should also assume that for each problem Valera made no more than one attempt, besides, he could have submitted both problems at the same minute of the contest, starting with minute 0 and ending with minute number t - 1. Please note that Valera can't submit a solution exactly t minutes after the start of the contest or later. Input The single line of the input contains six integers x, t, a, b, da, db (0 ≤ x ≤ 600; 1 ≤ t, a, b, da, db ≤ 300) — Valera's result, the contest's duration, the initial cost of the first problem, the initial cost of the second problem, the number of points that the first and the second problem lose per minute, correspondingly. It is guaranteed that at each minute of the contest each problem has a non-negative cost, that is, a - i·da ≥ 0 and b - i·db ≥ 0 for all 0 ≤ i ≤ t - 1. Output If Valera could have earned exactly x points at a contest, print "YES", otherwise print "NO" (without the quotes). Examples Input 30 5 20 20 3 5 Output YES Input 10 4 100 5 5 1 Output NO Note In the first sample Valera could have acted like this: he could have submitted the first problem at minute 0 and the second problem — at minute 2. Then the first problem brings him 20 points and the second problem brings him 10 points, that in total gives the required 30 points.
instruction
0
71,940
11
143,880
Tags: brute force, implementation Correct Solution: ``` import sys x,t,a,b,da,db=map(int,input().split(' ')) for i in range(t): for j in range(t): if((a-i*da)+(b-j*db)==x or (a-i*da)==x or (b-j*db)==x or x==0): print("YES") sys.exit() print("NO") ```
output
1
71,940
11
143,881
Provide tags and a correct Python 3 solution for this coding contest problem. A boy Valera registered on site Codeforces as Valera, and wrote his first Codeforces Round #300. He boasted to a friend Arkady about winning as much as x points for his first contest. But Arkady did not believe his friend's words and decided to check whether Valera could have shown such a result. He knows that the contest number 300 was unusual because there were only two problems. The contest lasted for t minutes, the minutes are numbered starting from zero. The first problem had the initial cost of a points, and every minute its cost reduced by da points. The second problem had the initial cost of b points, and every minute this cost reduced by db points. Thus, as soon as the zero minute of the contest is over, the first problem will cost a - da points, and the second problem will cost b - db points. It is guaranteed that at any moment of the contest each problem has a non-negative cost. Arkady asks you to find out whether Valera could have got exactly x points for this contest. You should assume that Valera could have solved any number of the offered problems. You should also assume that for each problem Valera made no more than one attempt, besides, he could have submitted both problems at the same minute of the contest, starting with minute 0 and ending with minute number t - 1. Please note that Valera can't submit a solution exactly t minutes after the start of the contest or later. Input The single line of the input contains six integers x, t, a, b, da, db (0 ≤ x ≤ 600; 1 ≤ t, a, b, da, db ≤ 300) — Valera's result, the contest's duration, the initial cost of the first problem, the initial cost of the second problem, the number of points that the first and the second problem lose per minute, correspondingly. It is guaranteed that at each minute of the contest each problem has a non-negative cost, that is, a - i·da ≥ 0 and b - i·db ≥ 0 for all 0 ≤ i ≤ t - 1. Output If Valera could have earned exactly x points at a contest, print "YES", otherwise print "NO" (without the quotes). Examples Input 30 5 20 20 3 5 Output YES Input 10 4 100 5 5 1 Output NO Note In the first sample Valera could have acted like this: he could have submitted the first problem at minute 0 and the second problem — at minute 2. Then the first problem brings him 20 points and the second problem brings him 10 points, that in total gives the required 30 points.
instruction
0
71,941
11
143,882
Tags: brute force, implementation Correct Solution: ``` x,t,a,b,da,db = map(int, input().split()) if x == 0: print('YES'); exit() for i in range(t): for j in range(t): p1 =(a-i*da) p2 = (b-j*db) if x == p1 + p2 or x==p1 or x == p2: print('YES') exit() print('NO') ```
output
1
71,941
11
143,883
Provide tags and a correct Python 3 solution for this coding contest problem. A boy Valera registered on site Codeforces as Valera, and wrote his first Codeforces Round #300. He boasted to a friend Arkady about winning as much as x points for his first contest. But Arkady did not believe his friend's words and decided to check whether Valera could have shown such a result. He knows that the contest number 300 was unusual because there were only two problems. The contest lasted for t minutes, the minutes are numbered starting from zero. The first problem had the initial cost of a points, and every minute its cost reduced by da points. The second problem had the initial cost of b points, and every minute this cost reduced by db points. Thus, as soon as the zero minute of the contest is over, the first problem will cost a - da points, and the second problem will cost b - db points. It is guaranteed that at any moment of the contest each problem has a non-negative cost. Arkady asks you to find out whether Valera could have got exactly x points for this contest. You should assume that Valera could have solved any number of the offered problems. You should also assume that for each problem Valera made no more than one attempt, besides, he could have submitted both problems at the same minute of the contest, starting with minute 0 and ending with minute number t - 1. Please note that Valera can't submit a solution exactly t minutes after the start of the contest or later. Input The single line of the input contains six integers x, t, a, b, da, db (0 ≤ x ≤ 600; 1 ≤ t, a, b, da, db ≤ 300) — Valera's result, the contest's duration, the initial cost of the first problem, the initial cost of the second problem, the number of points that the first and the second problem lose per minute, correspondingly. It is guaranteed that at each minute of the contest each problem has a non-negative cost, that is, a - i·da ≥ 0 and b - i·db ≥ 0 for all 0 ≤ i ≤ t - 1. Output If Valera could have earned exactly x points at a contest, print "YES", otherwise print "NO" (without the quotes). Examples Input 30 5 20 20 3 5 Output YES Input 10 4 100 5 5 1 Output NO Note In the first sample Valera could have acted like this: he could have submitted the first problem at minute 0 and the second problem — at minute 2. Then the first problem brings him 20 points and the second problem brings him 10 points, that in total gives the required 30 points.
instruction
0
71,942
11
143,884
Tags: brute force, implementation Correct Solution: ``` import sys x, t, A, B, a, b = input().split(); x = int(x) t = int(t) A = int(A) B = int(B) a = int(a) b = int(b) maapa = [0] * 10000 maapb = [0] * 10000 f = 1 for i in range(t): maapa[i] = A - (a*i) maapb[i] = B - (b*i) for i in range(t+1): for j in range(t+1): if maapa[i] + maapb[j] == x: f = 0 if f==1: print("NO") else: print("YES") ```
output
1
71,942
11
143,885
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A boy Valera registered on site Codeforces as Valera, and wrote his first Codeforces Round #300. He boasted to a friend Arkady about winning as much as x points for his first contest. But Arkady did not believe his friend's words and decided to check whether Valera could have shown such a result. He knows that the contest number 300 was unusual because there were only two problems. The contest lasted for t minutes, the minutes are numbered starting from zero. The first problem had the initial cost of a points, and every minute its cost reduced by da points. The second problem had the initial cost of b points, and every minute this cost reduced by db points. Thus, as soon as the zero minute of the contest is over, the first problem will cost a - da points, and the second problem will cost b - db points. It is guaranteed that at any moment of the contest each problem has a non-negative cost. Arkady asks you to find out whether Valera could have got exactly x points for this contest. You should assume that Valera could have solved any number of the offered problems. You should also assume that for each problem Valera made no more than one attempt, besides, he could have submitted both problems at the same minute of the contest, starting with minute 0 and ending with minute number t - 1. Please note that Valera can't submit a solution exactly t minutes after the start of the contest or later. Input The single line of the input contains six integers x, t, a, b, da, db (0 ≤ x ≤ 600; 1 ≤ t, a, b, da, db ≤ 300) — Valera's result, the contest's duration, the initial cost of the first problem, the initial cost of the second problem, the number of points that the first and the second problem lose per minute, correspondingly. It is guaranteed that at each minute of the contest each problem has a non-negative cost, that is, a - i·da ≥ 0 and b - i·db ≥ 0 for all 0 ≤ i ≤ t - 1. Output If Valera could have earned exactly x points at a contest, print "YES", otherwise print "NO" (without the quotes). Examples Input 30 5 20 20 3 5 Output YES Input 10 4 100 5 5 1 Output NO Note In the first sample Valera could have acted like this: he could have submitted the first problem at minute 0 and the second problem — at minute 2. Then the first problem brings him 20 points and the second problem brings him 10 points, that in total gives the required 30 points. Submitted Solution: ``` import sys import bisect # from collections import deque Ri = lambda : [int(x) for x in sys.stdin.readline().split()] ri = lambda : sys.stdin.readline().strip() def input(): return sys.stdin.readline().strip() def list2d(a, b, c): return [[c] * b for i in range(a)] def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)] def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)] def ceil(x, y=1): return int(-(-x // y)) def INT(): return int(input()) def MAP(): return map(int, input().split()) def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)] def Yes(): print('Yes') def No(): print('No') def YES(): print('YES') def NO(): print('NO') INF = 10 ** 30 MOD = 998244353 # for _ in range(int(ri())): x,t,a,b,da,db = Ri() arr1 = [0] for i in range(t): arr1.append(a-i*da) # a-=da arr2 = [0] for i in range(t): arr2.append(b-i*db) # b-=db flag = False for i in range(len(arr1)): for j in range(len(arr2)): if arr1[i] + arr2[j] == x: YES() flag = True quit() if not flag: NO() ```
instruction
0
71,943
11
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Yes
output
1
71,943
11
143,887
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A boy Valera registered on site Codeforces as Valera, and wrote his first Codeforces Round #300. He boasted to a friend Arkady about winning as much as x points for his first contest. But Arkady did not believe his friend's words and decided to check whether Valera could have shown such a result. He knows that the contest number 300 was unusual because there were only two problems. The contest lasted for t minutes, the minutes are numbered starting from zero. The first problem had the initial cost of a points, and every minute its cost reduced by da points. The second problem had the initial cost of b points, and every minute this cost reduced by db points. Thus, as soon as the zero minute of the contest is over, the first problem will cost a - da points, and the second problem will cost b - db points. It is guaranteed that at any moment of the contest each problem has a non-negative cost. Arkady asks you to find out whether Valera could have got exactly x points for this contest. You should assume that Valera could have solved any number of the offered problems. You should also assume that for each problem Valera made no more than one attempt, besides, he could have submitted both problems at the same minute of the contest, starting with minute 0 and ending with minute number t - 1. Please note that Valera can't submit a solution exactly t minutes after the start of the contest or later. Input The single line of the input contains six integers x, t, a, b, da, db (0 ≤ x ≤ 600; 1 ≤ t, a, b, da, db ≤ 300) — Valera's result, the contest's duration, the initial cost of the first problem, the initial cost of the second problem, the number of points that the first and the second problem lose per minute, correspondingly. It is guaranteed that at each minute of the contest each problem has a non-negative cost, that is, a - i·da ≥ 0 and b - i·db ≥ 0 for all 0 ≤ i ≤ t - 1. Output If Valera could have earned exactly x points at a contest, print "YES", otherwise print "NO" (without the quotes). Examples Input 30 5 20 20 3 5 Output YES Input 10 4 100 5 5 1 Output NO Note In the first sample Valera could have acted like this: he could have submitted the first problem at minute 0 and the second problem — at minute 2. Then the first problem brings him 20 points and the second problem brings him 10 points, that in total gives the required 30 points. Submitted Solution: ``` if __name__ == "__main__": x, t, a, b, da, db = map(int, input().split()) found = False if x == 0: found = True for i in range(t): if a - i * da == x: found = True for i in range(t): if b - i * db == x: found = True for i in range(t): for j in range(t): if a - i * da + b - j * db == x: found = True if found: print("YES") else: print("NO") ```
instruction
0
71,944
11
143,888
Yes
output
1
71,944
11
143,889
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A boy Valera registered on site Codeforces as Valera, and wrote his first Codeforces Round #300. He boasted to a friend Arkady about winning as much as x points for his first contest. But Arkady did not believe his friend's words and decided to check whether Valera could have shown such a result. He knows that the contest number 300 was unusual because there were only two problems. The contest lasted for t minutes, the minutes are numbered starting from zero. The first problem had the initial cost of a points, and every minute its cost reduced by da points. The second problem had the initial cost of b points, and every minute this cost reduced by db points. Thus, as soon as the zero minute of the contest is over, the first problem will cost a - da points, and the second problem will cost b - db points. It is guaranteed that at any moment of the contest each problem has a non-negative cost. Arkady asks you to find out whether Valera could have got exactly x points for this contest. You should assume that Valera could have solved any number of the offered problems. You should also assume that for each problem Valera made no more than one attempt, besides, he could have submitted both problems at the same minute of the contest, starting with minute 0 and ending with minute number t - 1. Please note that Valera can't submit a solution exactly t minutes after the start of the contest or later. Input The single line of the input contains six integers x, t, a, b, da, db (0 ≤ x ≤ 600; 1 ≤ t, a, b, da, db ≤ 300) — Valera's result, the contest's duration, the initial cost of the first problem, the initial cost of the second problem, the number of points that the first and the second problem lose per minute, correspondingly. It is guaranteed that at each minute of the contest each problem has a non-negative cost, that is, a - i·da ≥ 0 and b - i·db ≥ 0 for all 0 ≤ i ≤ t - 1. Output If Valera could have earned exactly x points at a contest, print "YES", otherwise print "NO" (without the quotes). Examples Input 30 5 20 20 3 5 Output YES Input 10 4 100 5 5 1 Output NO Note In the first sample Valera could have acted like this: he could have submitted the first problem at minute 0 and the second problem — at minute 2. Then the first problem brings him 20 points and the second problem brings him 10 points, that in total gives the required 30 points. Submitted Solution: ``` import bisect x,t,a,b,da,db=map(int,input().split()) l1=[a] l2=[b] for i in range(1,t): l1.append(a-(i*da)) l2.append(b-(i*db)) master=[0] for t in range(len(l1)): master.append(l1[t]) master.append(l2[t]) for q in range(len(l2)): master.append(l1[t]+l2[q]) master.sort() ow=bisect.bisect_left(master,x) try: if master[ow]==x: print ("YES") else: print ("NO") except: print ("NO") ```
instruction
0
71,945
11
143,890
Yes
output
1
71,945
11
143,891
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A boy Valera registered on site Codeforces as Valera, and wrote his first Codeforces Round #300. He boasted to a friend Arkady about winning as much as x points for his first contest. But Arkady did not believe his friend's words and decided to check whether Valera could have shown such a result. He knows that the contest number 300 was unusual because there were only two problems. The contest lasted for t minutes, the minutes are numbered starting from zero. The first problem had the initial cost of a points, and every minute its cost reduced by da points. The second problem had the initial cost of b points, and every minute this cost reduced by db points. Thus, as soon as the zero minute of the contest is over, the first problem will cost a - da points, and the second problem will cost b - db points. It is guaranteed that at any moment of the contest each problem has a non-negative cost. Arkady asks you to find out whether Valera could have got exactly x points for this contest. You should assume that Valera could have solved any number of the offered problems. You should also assume that for each problem Valera made no more than one attempt, besides, he could have submitted both problems at the same minute of the contest, starting with minute 0 and ending with minute number t - 1. Please note that Valera can't submit a solution exactly t minutes after the start of the contest or later. Input The single line of the input contains six integers x, t, a, b, da, db (0 ≤ x ≤ 600; 1 ≤ t, a, b, da, db ≤ 300) — Valera's result, the contest's duration, the initial cost of the first problem, the initial cost of the second problem, the number of points that the first and the second problem lose per minute, correspondingly. It is guaranteed that at each minute of the contest each problem has a non-negative cost, that is, a - i·da ≥ 0 and b - i·db ≥ 0 for all 0 ≤ i ≤ t - 1. Output If Valera could have earned exactly x points at a contest, print "YES", otherwise print "NO" (without the quotes). Examples Input 30 5 20 20 3 5 Output YES Input 10 4 100 5 5 1 Output NO Note In the first sample Valera could have acted like this: he could have submitted the first problem at minute 0 and the second problem — at minute 2. Then the first problem brings him 20 points and the second problem brings him 10 points, that in total gives the required 30 points. Submitted Solution: ``` x,t,a,b,da,db=map(int,input().split()) arr=[0] brr=[0] if x==0: print('YES') else: arr.append(a) brr.append(b) for i in range(t-1): arr.append(a-da) a-=da for i in range(t-1): brr.append(b-db) b-=db ans = False flag = True for i in range(len(arr)): if not flag: break for j in range(len(brr)): if not flag: break if arr[i]+brr[j]==x: ans=True flag=False if ans: print('YES') else: print('NO') ```
instruction
0
71,946
11
143,892
Yes
output
1
71,946
11
143,893
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A boy Valera registered on site Codeforces as Valera, and wrote his first Codeforces Round #300. He boasted to a friend Arkady about winning as much as x points for his first contest. But Arkady did not believe his friend's words and decided to check whether Valera could have shown such a result. He knows that the contest number 300 was unusual because there were only two problems. The contest lasted for t minutes, the minutes are numbered starting from zero. The first problem had the initial cost of a points, and every minute its cost reduced by da points. The second problem had the initial cost of b points, and every minute this cost reduced by db points. Thus, as soon as the zero minute of the contest is over, the first problem will cost a - da points, and the second problem will cost b - db points. It is guaranteed that at any moment of the contest each problem has a non-negative cost. Arkady asks you to find out whether Valera could have got exactly x points for this contest. You should assume that Valera could have solved any number of the offered problems. You should also assume that for each problem Valera made no more than one attempt, besides, he could have submitted both problems at the same minute of the contest, starting with minute 0 and ending with minute number t - 1. Please note that Valera can't submit a solution exactly t minutes after the start of the contest or later. Input The single line of the input contains six integers x, t, a, b, da, db (0 ≤ x ≤ 600; 1 ≤ t, a, b, da, db ≤ 300) — Valera's result, the contest's duration, the initial cost of the first problem, the initial cost of the second problem, the number of points that the first and the second problem lose per minute, correspondingly. It is guaranteed that at each minute of the contest each problem has a non-negative cost, that is, a - i·da ≥ 0 and b - i·db ≥ 0 for all 0 ≤ i ≤ t - 1. Output If Valera could have earned exactly x points at a contest, print "YES", otherwise print "NO" (without the quotes). Examples Input 30 5 20 20 3 5 Output YES Input 10 4 100 5 5 1 Output NO Note In the first sample Valera could have acted like this: he could have submitted the first problem at minute 0 and the second problem — at minute 2. Then the first problem brings him 20 points and the second problem brings him 10 points, that in total gives the required 30 points. Submitted Solution: ``` x,t,a,b,da,db=map(int,input().split()) l1=[a] l2=[b] for i in range(1,t): l1.append(a-(i*da)) l2.append(b-(i*db)) for t in l1: check=x-t tt=0 if check==0: tt=1 break if check in l2: tt=1 break if tt==0: print ("NO") else: print ("YES") ```
instruction
0
71,947
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No
output
1
71,947
11
143,895
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A boy Valera registered on site Codeforces as Valera, and wrote his first Codeforces Round #300. He boasted to a friend Arkady about winning as much as x points for his first contest. But Arkady did not believe his friend's words and decided to check whether Valera could have shown such a result. He knows that the contest number 300 was unusual because there were only two problems. The contest lasted for t minutes, the minutes are numbered starting from zero. The first problem had the initial cost of a points, and every minute its cost reduced by da points. The second problem had the initial cost of b points, and every minute this cost reduced by db points. Thus, as soon as the zero minute of the contest is over, the first problem will cost a - da points, and the second problem will cost b - db points. It is guaranteed that at any moment of the contest each problem has a non-negative cost. Arkady asks you to find out whether Valera could have got exactly x points for this contest. You should assume that Valera could have solved any number of the offered problems. You should also assume that for each problem Valera made no more than one attempt, besides, he could have submitted both problems at the same minute of the contest, starting with minute 0 and ending with minute number t - 1. Please note that Valera can't submit a solution exactly t minutes after the start of the contest or later. Input The single line of the input contains six integers x, t, a, b, da, db (0 ≤ x ≤ 600; 1 ≤ t, a, b, da, db ≤ 300) — Valera's result, the contest's duration, the initial cost of the first problem, the initial cost of the second problem, the number of points that the first and the second problem lose per minute, correspondingly. It is guaranteed that at each minute of the contest each problem has a non-negative cost, that is, a - i·da ≥ 0 and b - i·db ≥ 0 for all 0 ≤ i ≤ t - 1. Output If Valera could have earned exactly x points at a contest, print "YES", otherwise print "NO" (without the quotes). Examples Input 30 5 20 20 3 5 Output YES Input 10 4 100 5 5 1 Output NO Note In the first sample Valera could have acted like this: he could have submitted the first problem at minute 0 and the second problem — at minute 2. Then the first problem brings him 20 points and the second problem brings him 10 points, that in total gives the required 30 points. Submitted Solution: ``` x, t, a, b, d_a, d_b = map(int, input().split()) answer = 'NO' for i in range(t): s = a + b - x - d_a * i if s < 0: break if s // d_b <= t - 1 and s % d_b == 0: answer = 'YES' print(answer) ```
instruction
0
71,948
11
143,896
No
output
1
71,948
11
143,897
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A boy Valera registered on site Codeforces as Valera, and wrote his first Codeforces Round #300. He boasted to a friend Arkady about winning as much as x points for his first contest. But Arkady did not believe his friend's words and decided to check whether Valera could have shown such a result. He knows that the contest number 300 was unusual because there were only two problems. The contest lasted for t minutes, the minutes are numbered starting from zero. The first problem had the initial cost of a points, and every minute its cost reduced by da points. The second problem had the initial cost of b points, and every minute this cost reduced by db points. Thus, as soon as the zero minute of the contest is over, the first problem will cost a - da points, and the second problem will cost b - db points. It is guaranteed that at any moment of the contest each problem has a non-negative cost. Arkady asks you to find out whether Valera could have got exactly x points for this contest. You should assume that Valera could have solved any number of the offered problems. You should also assume that for each problem Valera made no more than one attempt, besides, he could have submitted both problems at the same minute of the contest, starting with minute 0 and ending with minute number t - 1. Please note that Valera can't submit a solution exactly t minutes after the start of the contest or later. Input The single line of the input contains six integers x, t, a, b, da, db (0 ≤ x ≤ 600; 1 ≤ t, a, b, da, db ≤ 300) — Valera's result, the contest's duration, the initial cost of the first problem, the initial cost of the second problem, the number of points that the first and the second problem lose per minute, correspondingly. It is guaranteed that at each minute of the contest each problem has a non-negative cost, that is, a - i·da ≥ 0 and b - i·db ≥ 0 for all 0 ≤ i ≤ t - 1. Output If Valera could have earned exactly x points at a contest, print "YES", otherwise print "NO" (without the quotes). Examples Input 30 5 20 20 3 5 Output YES Input 10 4 100 5 5 1 Output NO Note In the first sample Valera could have acted like this: he could have submitted the first problem at minute 0 and the second problem — at minute 2. Then the first problem brings him 20 points and the second problem brings him 10 points, that in total gives the required 30 points. Submitted Solution: ``` a, b, c, d, e, f = map(int, input().split()) count1min = c - (e * max(1, b - 1)) count1max = c count2min = d - (f * max(1, b - 1)) count2max = d count12min = count1min + count2min count12max = c + d if a == 0 or (count1min <= a <= count1max) or (count2min <= a <= count2max) or (count12min <= a <= count12max): print("YES") else: print("NO") ```
instruction
0
71,949
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143,898
No
output
1
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11
143,899
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A boy Valera registered on site Codeforces as Valera, and wrote his first Codeforces Round #300. He boasted to a friend Arkady about winning as much as x points for his first contest. But Arkady did not believe his friend's words and decided to check whether Valera could have shown such a result. He knows that the contest number 300 was unusual because there were only two problems. The contest lasted for t minutes, the minutes are numbered starting from zero. The first problem had the initial cost of a points, and every minute its cost reduced by da points. The second problem had the initial cost of b points, and every minute this cost reduced by db points. Thus, as soon as the zero minute of the contest is over, the first problem will cost a - da points, and the second problem will cost b - db points. It is guaranteed that at any moment of the contest each problem has a non-negative cost. Arkady asks you to find out whether Valera could have got exactly x points for this contest. You should assume that Valera could have solved any number of the offered problems. You should also assume that for each problem Valera made no more than one attempt, besides, he could have submitted both problems at the same minute of the contest, starting with minute 0 and ending with minute number t - 1. Please note that Valera can't submit a solution exactly t minutes after the start of the contest or later. Input The single line of the input contains six integers x, t, a, b, da, db (0 ≤ x ≤ 600; 1 ≤ t, a, b, da, db ≤ 300) — Valera's result, the contest's duration, the initial cost of the first problem, the initial cost of the second problem, the number of points that the first and the second problem lose per minute, correspondingly. It is guaranteed that at each minute of the contest each problem has a non-negative cost, that is, a - i·da ≥ 0 and b - i·db ≥ 0 for all 0 ≤ i ≤ t - 1. Output If Valera could have earned exactly x points at a contest, print "YES", otherwise print "NO" (without the quotes). Examples Input 30 5 20 20 3 5 Output YES Input 10 4 100 5 5 1 Output NO Note In the first sample Valera could have acted like this: he could have submitted the first problem at minute 0 and the second problem — at minute 2. Then the first problem brings him 20 points and the second problem brings him 10 points, that in total gives the required 30 points. Submitted Solution: ``` import sys import math x, t, a, b, da, db = [int(x) for x in (sys.stdin.readline()).split()] d = [0] * 300 for i in range(t): d[b] = 1 b -= db for i in range(t): if(d[x - a] == 1): print("YES") exit() else: a -= da print("NO") ```
instruction
0
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143,900
No
output
1
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143,901
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Input The input contains a single integer a (0 ≤ a ≤ 35). Output Output a single integer. Examples Input 3 Output 8 Input 10 Output 1024 Submitted Solution: ``` n = int(input("")) PRList = ["Washington","Adams","Jefferson","Madison","Monroe","Adams","Jackson","Van Buren","Harrison","Tyler","Polk","Taylor","Fillmore","Pierce","Buchanan","Lincoln","Johnson","Grant","Hayes","Garfield","Arthur","Cleveland","Harrison","Cleveland","McKinley","Roosevelt","Taft","Wilson","Harding","Coolidge","Hoover","Roosevelt","Truman","Eisenhower","Kennedy","Johnson","Nixon","Ford","Carter","Reagan","Bush","Clinton","Bush","Obama","Trump" ] print(PRList[n - 1]) ```
instruction
0
72,115
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144,230
Yes
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1
72,115
11
144,231
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Input The input contains a single integer a (0 ≤ a ≤ 35). Output Output a single integer. Examples Input 3 Output 8 Input 10 Output 1024 Submitted Solution: ``` n = int(input()) pres = [None, 'George Washington', 'Adams', 'Thomas Jefferson', 'James Madison', 'James Monroe', 'John Quincy Adams' , 'Andrew Jackson', 'Van Buren', 'William Henry Harrison', 'John Tyler', 'James K. Polk', 'Zachary Taylor' , 'Millard Fillmore', 'Franklin Pierce', 'James Buchanan', 'Abraham Lincoln', 'Andrew Johnson', 'Ulysses S. Grant' , 'Rutherford B. Hayes', 'James Garfield', 'Chester A. Arthur', 'Grover Cleveland', 'Benjamin Harrison' ,'Grover Cleveland', 'William McKinley', 'Theodore Roosevelt', 'Howard Taft', 'Woodrow Wilson', 'Warren G. Harding' ,'Calvin Coolidge', 'Herbert Hoover', 'Franklin D. Roosevelt', 'Harry S. Truman', 'Dwight D. Eisenhower' ,'John F. Kennedy', 'Lyndon B. Johnson', 'Richard Nixon', 'Gerald Ford', 'Jimmy Carter', 'Ronald Reagan' ,'George H.W. Bush', 'Bill Clinton', 'George W. Bush', 'Barack Obama', 'Donald Trump'] result = pres[n] print(result) ```
instruction
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144,240
No
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72,120
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144,241
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is meeting up with Aoki. They have planned to meet at a place that is D meters away from Takahashi's house in T minutes from now. Takahashi will leave his house now and go straight to the place at a speed of S meters per minute. Will he arrive in time? Constraints * 1 \leq D \leq 10000 * 1 \leq T \leq 10000 * 1 \leq S \leq 10000 * All values in input are integers. Input Input is given from Standard Input in the following format: D T S Output If Takahashi will reach the place in time, print `Yes`; otherwise, print `No`. Examples Input 1000 15 80 Output Yes Input 2000 20 100 Output Yes Input 10000 1 1 Output No Submitted Solution: ``` d, t, s = (int(x) for x in input().split()) print('Yes' if s*t >= d else 'No') ```
instruction
0
72,276
11
144,552
Yes
output
1
72,276
11
144,553
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is meeting up with Aoki. They have planned to meet at a place that is D meters away from Takahashi's house in T minutes from now. Takahashi will leave his house now and go straight to the place at a speed of S meters per minute. Will he arrive in time? Constraints * 1 \leq D \leq 10000 * 1 \leq T \leq 10000 * 1 \leq S \leq 10000 * All values in input are integers. Input Input is given from Standard Input in the following format: D T S Output If Takahashi will reach the place in time, print `Yes`; otherwise, print `No`. Examples Input 1000 15 80 Output Yes Input 2000 20 100 Output Yes Input 10000 1 1 Output No Submitted Solution: ``` x,y ,z= map(int,input().split()) if(x<=y*z): print('Yes') else: print('No') ```
instruction
0
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144,554
Yes
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1
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144,555
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is meeting up with Aoki. They have planned to meet at a place that is D meters away from Takahashi's house in T minutes from now. Takahashi will leave his house now and go straight to the place at a speed of S meters per minute. Will he arrive in time? Constraints * 1 \leq D \leq 10000 * 1 \leq T \leq 10000 * 1 \leq S \leq 10000 * All values in input are integers. Input Input is given from Standard Input in the following format: D T S Output If Takahashi will reach the place in time, print `Yes`; otherwise, print `No`. Examples Input 1000 15 80 Output Yes Input 2000 20 100 Output Yes Input 10000 1 1 Output No Submitted Solution: ``` a,t,s=map(int,input().split()) if a<=t*s: print("Yes") else: print("No") ```
instruction
0
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144,556
Yes
output
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72,278
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144,557
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is meeting up with Aoki. They have planned to meet at a place that is D meters away from Takahashi's house in T minutes from now. Takahashi will leave his house now and go straight to the place at a speed of S meters per minute. Will he arrive in time? Constraints * 1 \leq D \leq 10000 * 1 \leq T \leq 10000 * 1 \leq S \leq 10000 * All values in input are integers. Input Input is given from Standard Input in the following format: D T S Output If Takahashi will reach the place in time, print `Yes`; otherwise, print `No`. Examples Input 1000 15 80 Output Yes Input 2000 20 100 Output Yes Input 10000 1 1 Output No Submitted Solution: ``` d,t,s=map(int,input().split()) if d<=s*t: print("Yes") else: print("No") ```
instruction
0
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11
144,558
Yes
output
1
72,279
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144,559
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is meeting up with Aoki. They have planned to meet at a place that is D meters away from Takahashi's house in T minutes from now. Takahashi will leave his house now and go straight to the place at a speed of S meters per minute. Will he arrive in time? Constraints * 1 \leq D \leq 10000 * 1 \leq T \leq 10000 * 1 \leq S \leq 10000 * All values in input are integers. Input Input is given from Standard Input in the following format: D T S Output If Takahashi will reach the place in time, print `Yes`; otherwise, print `No`. Examples Input 1000 15 80 Output Yes Input 2000 20 100 Output Yes Input 10000 1 1 Output No Submitted Solution: ``` D, T, S = map(int, input().split()) ans = (S * T) - D if ans >= 0: print("Yes") else: print("NO") ```
instruction
0
72,280
11
144,560
No
output
1
72,280
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144,561
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is meeting up with Aoki. They have planned to meet at a place that is D meters away from Takahashi's house in T minutes from now. Takahashi will leave his house now and go straight to the place at a speed of S meters per minute. Will he arrive in time? Constraints * 1 \leq D \leq 10000 * 1 \leq T \leq 10000 * 1 \leq S \leq 10000 * All values in input are integers. Input Input is given from Standard Input in the following format: D T S Output If Takahashi will reach the place in time, print `Yes`; otherwise, print `No`. Examples Input 1000 15 80 Output Yes Input 2000 20 100 Output Yes Input 10000 1 1 Output No Submitted Solution: ``` import numpy as np MOD = 10**9+7 N = int(input()) arr = np.zeros((N+1,N+1),dtype=int) for i in range(3,N+1): arr[0,i] = 1 for i in range(1,N+1): sum_ = 0 for j in range(3*i,N+1): sum_ += arr[i-1,j] sum_ %= MOD if j+3 >= N + 1: break arr[i,j+3] = sum_ ans = 0 for i in range(N+1): ans += arr[i,N] ans %= MOD print(ans) ```
instruction
0
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11
144,562
No
output
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11
144,563
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is meeting up with Aoki. They have planned to meet at a place that is D meters away from Takahashi's house in T minutes from now. Takahashi will leave his house now and go straight to the place at a speed of S meters per minute. Will he arrive in time? Constraints * 1 \leq D \leq 10000 * 1 \leq T \leq 10000 * 1 \leq S \leq 10000 * All values in input are integers. Input Input is given from Standard Input in the following format: D T S Output If Takahashi will reach the place in time, print `Yes`; otherwise, print `No`. Examples Input 1000 15 80 Output Yes Input 2000 20 100 Output Yes Input 10000 1 1 Output No Submitted Solution: ``` D, T, S = map(int, input().split()) if S * T <= D: print("YES") else: print("NO") ```
instruction
0
72,282
11
144,564
No
output
1
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144,565
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is meeting up with Aoki. They have planned to meet at a place that is D meters away from Takahashi's house in T minutes from now. Takahashi will leave his house now and go straight to the place at a speed of S meters per minute. Will he arrive in time? Constraints * 1 \leq D \leq 10000 * 1 \leq T \leq 10000 * 1 \leq S \leq 10000 * All values in input are integers. Input Input is given from Standard Input in the following format: D T S Output If Takahashi will reach the place in time, print `Yes`; otherwise, print `No`. Examples Input 1000 15 80 Output Yes Input 2000 20 100 Output Yes Input 10000 1 1 Output No Submitted Solution: ``` D,T,S = list(int,input().split()) if D <= T * S: print("YES") else: print("NO") ```
instruction
0
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11
144,566
No
output
1
72,283
11
144,567
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You drew lottery N times. In the i-th draw, you got an item of the kind represented by a string S_i. How many kinds of items did you get? Constraints * 1 \leq N \leq 2\times 10^5 * S_i consists of lowercase English letters and has a length between 1 and 10 (inclusive). Input Input is given from Standard Input in the following format: N S_1 : S_N Output Print the number of kinds of items you got. Examples Input 3 apple orange apple Output 2 Input 5 grape grape grape grape grape Output 1 Input 4 aaaa a aaa aa Output 4 Submitted Solution: ``` N=int(input()) S=[] count=0 for i in range(N): sample=input() if sample in S: count+=0 else: S.append(sample) count+=1 print(count) ```
instruction
0
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11
144,594
No
output
1
72,297
11
144,595
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N pieces of source code. The characteristics of the i-th code is represented by M integers A_{i1}, A_{i2}, ..., A_{iM}. Additionally, you are given integers B_1, B_2, ..., B_M and C. The i-th code correctly solves this problem if and only if A_{i1} B_1 + A_{i2} B_2 + ... + A_{iM} B_M + C > 0. Among the N codes, find the number of codes that correctly solve this problem. Constraints * All values in input are integers. * 1 \leq N, M \leq 20 * -100 \leq A_{ij} \leq 100 * -100 \leq B_i \leq 100 * -100 \leq C \leq 100 Input Input is given from Standard Input in the following format: N M C B_1 B_2 ... B_M A_{11} A_{12} ... A_{1M} A_{21} A_{22} ... A_{2M} \vdots A_{N1} A_{N2} ... A_{NM} Output Print the number of codes among the given N codes that correctly solve this problem. Examples Input 2 3 -10 1 2 3 3 2 1 1 2 2 Output 1 Input 5 2 -4 -2 5 100 41 100 40 -3 0 -6 -2 18 -13 Output 2 Input 3 3 0 100 -100 0 0 100 100 100 100 100 -100 100 100 Output 0 Submitted Solution: ``` n,m,c=map(int,input().split()) b=list(map(int, input().split())) count=0 for _ in range(n): a=[int(i) for i in input().split()] sum1=[i*j for i,j in zip(a,b)] if sum(sum1)+c>0:count+=1 print(count) ```
instruction
0
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11
144,656
Yes
output
1
72,328
11
144,657
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N pieces of source code. The characteristics of the i-th code is represented by M integers A_{i1}, A_{i2}, ..., A_{iM}. Additionally, you are given integers B_1, B_2, ..., B_M and C. The i-th code correctly solves this problem if and only if A_{i1} B_1 + A_{i2} B_2 + ... + A_{iM} B_M + C > 0. Among the N codes, find the number of codes that correctly solve this problem. Constraints * All values in input are integers. * 1 \leq N, M \leq 20 * -100 \leq A_{ij} \leq 100 * -100 \leq B_i \leq 100 * -100 \leq C \leq 100 Input Input is given from Standard Input in the following format: N M C B_1 B_2 ... B_M A_{11} A_{12} ... A_{1M} A_{21} A_{22} ... A_{2M} \vdots A_{N1} A_{N2} ... A_{NM} Output Print the number of codes among the given N codes that correctly solve this problem. Examples Input 2 3 -10 1 2 3 3 2 1 1 2 2 Output 1 Input 5 2 -4 -2 5 100 41 100 40 -3 0 -6 -2 18 -13 Output 2 Input 3 3 0 100 -100 0 0 100 100 100 100 100 -100 100 100 Output 0 Submitted Solution: ``` N,M,C=map(int,input().split()) B=list(map(int,input().split())) ans = 0 for i in range(N): A = list(map(int,input().split())) s = sum([x * y for (x, y) in zip(A, B)]) if s + C > 0: ans += 1 print(ans) ```
instruction
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144,658
Yes
output
1
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11
144,659
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N pieces of source code. The characteristics of the i-th code is represented by M integers A_{i1}, A_{i2}, ..., A_{iM}. Additionally, you are given integers B_1, B_2, ..., B_M and C. The i-th code correctly solves this problem if and only if A_{i1} B_1 + A_{i2} B_2 + ... + A_{iM} B_M + C > 0. Among the N codes, find the number of codes that correctly solve this problem. Constraints * All values in input are integers. * 1 \leq N, M \leq 20 * -100 \leq A_{ij} \leq 100 * -100 \leq B_i \leq 100 * -100 \leq C \leq 100 Input Input is given from Standard Input in the following format: N M C B_1 B_2 ... B_M A_{11} A_{12} ... A_{1M} A_{21} A_{22} ... A_{2M} \vdots A_{N1} A_{N2} ... A_{NM} Output Print the number of codes among the given N codes that correctly solve this problem. Examples Input 2 3 -10 1 2 3 3 2 1 1 2 2 Output 1 Input 5 2 -4 -2 5 100 41 100 40 -3 0 -6 -2 18 -13 Output 2 Input 3 3 0 100 -100 0 0 100 100 100 100 100 -100 100 100 Output 0 Submitted Solution: ``` n,m,c=map(int,input().split()) b=list(map(int,input().split())) cnt =0 for i in range(n): a=list(map(int,input().split())) s=c+sum([b[j]*a[j] for j in range(m)]) if s>0: cnt +=1 print(cnt) ```
instruction
0
72,330
11
144,660
Yes
output
1
72,330
11
144,661
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N pieces of source code. The characteristics of the i-th code is represented by M integers A_{i1}, A_{i2}, ..., A_{iM}. Additionally, you are given integers B_1, B_2, ..., B_M and C. The i-th code correctly solves this problem if and only if A_{i1} B_1 + A_{i2} B_2 + ... + A_{iM} B_M + C > 0. Among the N codes, find the number of codes that correctly solve this problem. Constraints * All values in input are integers. * 1 \leq N, M \leq 20 * -100 \leq A_{ij} \leq 100 * -100 \leq B_i \leq 100 * -100 \leq C \leq 100 Input Input is given from Standard Input in the following format: N M C B_1 B_2 ... B_M A_{11} A_{12} ... A_{1M} A_{21} A_{22} ... A_{2M} \vdots A_{N1} A_{N2} ... A_{NM} Output Print the number of codes among the given N codes that correctly solve this problem. Examples Input 2 3 -10 1 2 3 3 2 1 1 2 2 Output 1 Input 5 2 -4 -2 5 100 41 100 40 -3 0 -6 -2 18 -13 Output 2 Input 3 3 0 100 -100 0 0 100 100 100 100 100 -100 100 100 Output 0 Submitted Solution: ``` N,M,C=map(int,input().split()) B=list(map(int,input().split())) ans=0 for i in range(N): L=list(map(int,input().split())) s=[l*b for (l,b) in zip(L,B)] if sum(s)>-C: ans+=1 print(ans) ```
instruction
0
72,331
11
144,662
Yes
output
1
72,331
11
144,663
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N pieces of source code. The characteristics of the i-th code is represented by M integers A_{i1}, A_{i2}, ..., A_{iM}. Additionally, you are given integers B_1, B_2, ..., B_M and C. The i-th code correctly solves this problem if and only if A_{i1} B_1 + A_{i2} B_2 + ... + A_{iM} B_M + C > 0. Among the N codes, find the number of codes that correctly solve this problem. Constraints * All values in input are integers. * 1 \leq N, M \leq 20 * -100 \leq A_{ij} \leq 100 * -100 \leq B_i \leq 100 * -100 \leq C \leq 100 Input Input is given from Standard Input in the following format: N M C B_1 B_2 ... B_M A_{11} A_{12} ... A_{1M} A_{21} A_{22} ... A_{2M} \vdots A_{N1} A_{N2} ... A_{NM} Output Print the number of codes among the given N codes that correctly solve this problem. Examples Input 2 3 -10 1 2 3 3 2 1 1 2 2 Output 1 Input 5 2 -4 -2 5 100 41 100 40 -3 0 -6 -2 18 -13 Output 2 Input 3 3 0 100 -100 0 0 100 100 100 100 100 -100 100 100 Output 0 Submitted Solution: ``` N, M, C = int(input()) B = list(map(int, inpot().split())) count = 0 for j in range(N) A = list(map(int, input().split())) for i in range(M): calc = A[i] * B[i] if C + calc > 0: count+=1 print(count) ```
instruction
0
72,332
11
144,664
No
output
1
72,332
11
144,665
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N pieces of source code. The characteristics of the i-th code is represented by M integers A_{i1}, A_{i2}, ..., A_{iM}. Additionally, you are given integers B_1, B_2, ..., B_M and C. The i-th code correctly solves this problem if and only if A_{i1} B_1 + A_{i2} B_2 + ... + A_{iM} B_M + C > 0. Among the N codes, find the number of codes that correctly solve this problem. Constraints * All values in input are integers. * 1 \leq N, M \leq 20 * -100 \leq A_{ij} \leq 100 * -100 \leq B_i \leq 100 * -100 \leq C \leq 100 Input Input is given from Standard Input in the following format: N M C B_1 B_2 ... B_M A_{11} A_{12} ... A_{1M} A_{21} A_{22} ... A_{2M} \vdots A_{N1} A_{N2} ... A_{NM} Output Print the number of codes among the given N codes that correctly solve this problem. Examples Input 2 3 -10 1 2 3 3 2 1 1 2 2 Output 1 Input 5 2 -4 -2 5 100 41 100 40 -3 0 -6 -2 18 -13 Output 2 Input 3 3 0 100 -100 0 0 100 100 100 100 100 -100 100 100 Output 0 Submitted Solution: ``` tmp = input() N = int(input().split()[0]) M = int(input().split()[1]) C = int(input().split()[2]) tmp = input() B = [int(b) for b in tmp.split()] cnt = 0 for i in range(N): tmp = input() A = [int(a) for a in tmp.split()] sum = 0 for j in range(M): sum += B[j]*A[j] sum += C if C > 0: cnt += 1 print(cnt) ```
instruction
0
72,333
11
144,666
No
output
1
72,333
11
144,667
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N pieces of source code. The characteristics of the i-th code is represented by M integers A_{i1}, A_{i2}, ..., A_{iM}. Additionally, you are given integers B_1, B_2, ..., B_M and C. The i-th code correctly solves this problem if and only if A_{i1} B_1 + A_{i2} B_2 + ... + A_{iM} B_M + C > 0. Among the N codes, find the number of codes that correctly solve this problem. Constraints * All values in input are integers. * 1 \leq N, M \leq 20 * -100 \leq A_{ij} \leq 100 * -100 \leq B_i \leq 100 * -100 \leq C \leq 100 Input Input is given from Standard Input in the following format: N M C B_1 B_2 ... B_M A_{11} A_{12} ... A_{1M} A_{21} A_{22} ... A_{2M} \vdots A_{N1} A_{N2} ... A_{NM} Output Print the number of codes among the given N codes that correctly solve this problem. Examples Input 2 3 -10 1 2 3 3 2 1 1 2 2 Output 1 Input 5 2 -4 -2 5 100 41 100 40 -3 0 -6 -2 18 -13 Output 2 Input 3 3 0 100 -100 0 0 100 100 100 100 100 -100 100 100 Output 0 Submitted Solution: ``` tmp = input() N = int(input().split(' ')[0]) M = int(input().split(' ')[1]) C = int(input().split(' ')[2]) B = [int(b) for b in input().split(' ')] cnt = 0 for i in range(N): A = [int(a) for a in input().split(' ')] sum = 0 for j in range(M): sum += B[j]*A[j] sum += C if C > 0: cnt += 1 print(cnt) ```
instruction
0
72,334
11
144,668
No
output
1
72,334
11
144,669
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N pieces of source code. The characteristics of the i-th code is represented by M integers A_{i1}, A_{i2}, ..., A_{iM}. Additionally, you are given integers B_1, B_2, ..., B_M and C. The i-th code correctly solves this problem if and only if A_{i1} B_1 + A_{i2} B_2 + ... + A_{iM} B_M + C > 0. Among the N codes, find the number of codes that correctly solve this problem. Constraints * All values in input are integers. * 1 \leq N, M \leq 20 * -100 \leq A_{ij} \leq 100 * -100 \leq B_i \leq 100 * -100 \leq C \leq 100 Input Input is given from Standard Input in the following format: N M C B_1 B_2 ... B_M A_{11} A_{12} ... A_{1M} A_{21} A_{22} ... A_{2M} \vdots A_{N1} A_{N2} ... A_{NM} Output Print the number of codes among the given N codes that correctly solve this problem. Examples Input 2 3 -10 1 2 3 3 2 1 1 2 2 Output 1 Input 5 2 -4 -2 5 100 41 100 40 -3 0 -6 -2 18 -13 Output 2 Input 3 3 0 100 -100 0 0 100 100 100 100 100 -100 100 100 Output 0 Submitted Solution: ``` n,m,c = map(int,input().split()) b = list(map(int,input().split())) count = 0 ans = 0 for i in range(n): l = list(map(int,input().split())) for j in range(m): ans += b[j]*a[j] if ans +c > 0: count += 1 ans = 0 print(count) ```
instruction
0
72,335
11
144,670
No
output
1
72,335
11
144,671
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In the year 2168, AtCoder Inc., which is much larger than now, is starting a limited express train service called AtCoder Express. In the plan developed by the president Takahashi, the trains will run as follows: * A train will run for (t_1 + t_2 + t_3 + ... + t_N) seconds. * In the first t_1 seconds, a train must run at a speed of at most v_1 m/s (meters per second). Similarly, in the subsequent t_2 seconds, a train must run at a speed of at most v_2 m/s, and so on. According to the specifications of the trains, the acceleration of a train must be always within ±1m/s^2. Additionally, a train must stop at the beginning and the end of the run. Find the maximum possible distance that a train can cover in the run. Constraints * 1 \leq N \leq 100 * 1 \leq t_i \leq 200 * 1 \leq v_i \leq 100 * All input values are integers. Input Input is given from Standard Input in the following format: N t_1 t_2 t_3 … t_N v_1 v_2 v_3 … v_N Output Print the maximum possible that a train can cover in the run. Output is considered correct if its absolute difference from the judge's output is at most 10^{-3}. Examples Input 1 100 30 Output 2100.000000000000000 Input 2 60 50 34 38 Output 2632.000000000000000 Input 3 12 14 2 6 2 7 Output 76.000000000000000 Input 1 9 10 Output 20.250000000000000000 Input 10 64 55 27 35 76 119 7 18 49 100 29 19 31 39 27 48 41 87 55 70 Output 20291.000000000000 Submitted Solution: ``` # -*- coding: utf-8 -*- n = int(input()) t = list(map(int, input().split())) v = list(map(int, input().split())) T = sum(t) eq = [[0,0,0]] for i in range(n): c = [eq[i][1],eq[i][1]+t[i],v[i]] eq.append(c) eq.append([eq[n][1],eq[n][1],0]) def func(l,r,v,x): if x<=l: return v+(l-x) elif l<x<r: return v else: return v+(x-r) def getv(x): # ret = None # for e in eq: # v = func(e[0],e[1],e[2],x) # if ret is None: # ret = v # else: # ret = min(ret,v) # return ret ret = func(0,0,0,x) tt = 0 for i in range(n): ret = min(ret, func(tt,tt+t[i],v[i],x)) tt += t[i] ret = min(ret, func(tt,tt,0,x)) return ret ret = 0 lastv = None for i in range(2*T): a1 = i*0.5 a2 = (i+1)*0.5 if lastv is not None: v1 = lastv else: v1 = getv(a1) v2 = getv(a2) lastv = v2 ret += 0.5*0.5*(v1+v2) print(ret) ```
instruction
0
72,382
11
144,764
No
output
1
72,382
11
144,765
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Example Input ACM Output 0 Submitted Solution: ``` from itertools import permutations base = "=+-*()01" s = input() l = len(s) mapping = {} counter = {} cnt = 0 for c in s: if c in base: continue if c not in mapping: mapping[c] = cnt cnt += 1 v = mapping[c] counter[v] = counter.get(v, 0) + 1 if cnt > 8: print(0) exit(0) def solve(read): cur = failed = 0 def next(): nonlocal cur cur += 1 def error(): nonlocal failed failed = 1 def number(): res = 0 if read(cur) not in "01": error() first = 1 while 1: c = read(cur) if c not in "01": break if not first and res == 0: error() res = (res << 1) ^ int(c) next() # "0" or "1" first = 0 return res def factor(): c = read(cur) if c == "-": next() # "-" return -factor() elif c == "(": next() # "(" val = expr() if read(cur) != ")": error() next() # ")" return val return number() def term(): res = 1 while 1: res *= factor() c = read(cur) if c != "*": break next() # "*" return res def expr(): res = 0 op = "+" while 1: if op == "+": res += term() else: res -= term() c = read(cur) if c not in "+-": break next() # "+" or "-" op = c return res lv = expr() next() # "=" rv = expr() if not failed and cur == l: return lv == rv return 0 def get(b): def read(cur): if l <= cur: return "$" if s[cur] in base: return s[cur] return b[mapping[s[cur]]] return read ans = 0 if cnt == 0: ans += solve(get(None)) for b in permutations(base, cnt): if "=" not in b or counter[b.index("=")] > 1: continue ans += solve(get(b)) print(ans) ```
instruction
0
73,261
11
146,522
No
output
1
73,261
11
146,523
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Example Input ACM Output 0 Submitted Solution: ``` s = "" ans = 0 slen = 0 d = {} u = { "+": False, "-": False, "*": False, "0": False, "1": False, "=": False, "(": False, ")": False } def dfs(p): global slen, ans, s if p == slen: tmp = "" cnte = 0 for i in s: if i in d: tmp = tmp + d[i] if d[i] == "=": cnte = cnte + 1 else: tmp = tmp + i if i == "=": cnte = cnte + 1 if cnte != 1: return if tmp[0] == "=" or tmp[slen - 1] == "=": return if tmp[0] == "+": return for i in range(1, slen): if tmp[i] == tmp[i - 1] and tmp[i] == "*": return if tmp[i] == "+" and tmp[i - 1] == "-": return if tmp[i] == "+" and tmp[i - 1] == "+": return if tmp[i] == "+" and tmp[i - 1] == "*": return if tmp[i] == "+" and tmp[i - 1] == "=": return if tmp[i] == "+" and tmp[i - 1] == "(": return lst = 2 for i in range(slen): if tmp[i] == "0" or tmp[i] == "1": if lst == 0: return if lst == 2 and tmp[i] == "0": lst = 0 else: lst = 1 else: lst = 2 tt = "" lastnum = False for i in tmp: if i == "0" or i == "1": if lastnum == False: tt = tt + "0b" lastnum = True else: lastnum = False tt = tt + i try: (le, re) = tt.split("=") if eval(le) == eval(re): ans = ans + 1 except Exception as e: pass return flag = False for (key, value) in u.items(): if s[p] == key: flag = True break if flag or s[p] in d: dfs(p + 1) else: for (key, value) in u.items(): if not value: d[s[p]] = key u[key] = True dfs(p + 1) del d[s[p]] u[key] = False s = input() slen = len(s) dfs(0) print(ans) ```
instruction
0
73,262
11
146,524
No
output
1
73,262
11
146,525
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Example Input ACM Output 0 Submitted Solution: ``` from itertools import permutations base = "=+-*()01" s = input() l = len(s) mapping = {} counter = {} cnt = 0 for c in s: if c in base: continue if c not in mapping: mapping[c] = cnt cnt += 1 v = mapping[c] counter[v] = counter.get(v, 0) + 1 if cnt > 8: print(0) exit(0) def solve(read): cur = failed = 0 def next(): nonlocal cur cur += 1 def error(): nonlocal failed failed = 1 def number(): res = 0 if read(cur) not in "01": error() first = 1 while 1: c = read(cur) if c not in "01": break if not first and res == 0: error() res = (res << 1) ^ int(c) next() # "0" or "1" first = 0 return res def factor(): c = read(cur) if c == "-": next() # "-" return -factor() elif c == "(": next() # "(" val = expr() if read(cur) != ")": error() next() # ")" return val return number() def term(): res = 1 while 1: res *= factor() c = read(cur) if c != "*": break next() # "*" return res def expr(): res = 0 op = "+" while 1: if op == "+": res += term() else: res -= term() c = read(cur) if c not in "+-": break next() # "+" or "-" op = c return res if sum(read(i) == "=" for i in range(l)) != 1: return 0 lv = expr() next() # "=" rv = expr() for i in range(l): print(end=read(i)) print(" ", lv, rv, failed) if not failed and cur == l: return lv == rv return 0 def get(b): def read(cur): if l <= cur: return "$" if s[cur] in base: return s[cur] return b[mapping[s[cur]]] return read ans = 0 for b in permutations(base, cnt): ans += solve(get(b)) print(ans) ```
instruction
0
73,263
11
146,526
No
output
1
73,263
11
146,527
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Example Input ACM Output 0 Submitted Solution: ``` from itertools import permutations base = "=+-*()01" s = input() l = len(s) mapping = {} counter = {} cnt = 0 for c in s: if c in base: continue if c not in mapping: mapping[c] = cnt cnt += 1 v = mapping[c] counter[v] = counter.get(v, 0) + 1 if cnt > 8: print(0) exit(0) def solve(read): cur = failed = 0 def next(): nonlocal cur cur += 1 def error(): nonlocal failed failed = 1 def number(): res = 0 if read(cur) not in "01": error() first = 1 while 1: c = read(cur) if c not in "01": break if not first and res == 0: error() res = (res << 1) ^ int(c) next() # "0" or "1" first = 0 return res def factor(): c = read(cur) if c == "-": next() # "-" return -factor() elif c == "(": next() # "(" val = expr() if read(cur) != ")": error() next() # ")" return val return number() def term(): res = 1 while 1: res *= factor() c = read(cur) if c != "*": break next() # "*" return res def expr(): res = 0 op = "+" while 1: if op == "+": res += term() else: res -= term() c = read(cur) if c not in "+-": break next() # "+" or "-" op = c return res lv = expr() next() # "=" rv = expr() if not failed and cur == l: return lv == rv return 0 def get(b): def read(cur): if l <= cur: return "$" if s[cur] in base: return s[cur] return b[mapping[s[cur]]] return read ans = 0 if cnt == 0: ans += solve(get(None)) for b in permutations(base, cnt): if "=" in b and counter[b.index("=")] > 1: continue ans += solve(get(b)) print(ans) ```
instruction
0
73,264
11
146,528
No
output
1
73,264
11
146,529
Provide a correct Python 3 solution for this coding contest problem. Example Input 3 2 3 1 2 1 2 3 2 3 3 1 Output 1
instruction
0
73,269
11
146,538
"Correct Solution: ``` import sys class Set: __slots__ = ["data", "one", "N", "N0", "size"] def __init__(self, N): self.data = [0]*(N+1) self.one = [0]*(N+1) self.N = N self.N0 = 2**(N.bit_length()-1) self.size = 0 def __get(self, k): s = 0 data = self.data while k: s += data[k] k -= k & -k return s def __add(self, k, x): N = self.N self.one[k] += x #assert 0 <= self.one[k] data = self.data while k <= N: data[k] += x k += k & -k self.size += x def __lower_bound(self, x): w = i = 0; k = self.N0 N = self.N; data = self.data while k: if i+k <= N and w + data[i+k] <= x: w += data[i+k] i += k k >>= 1 return i def add(self, x, y = 1): #assert 0 <= x < self.N self.__add(x+1, y) def remove(self, x, y = 1): #assert 0 <= x < self.N self.__add(x+1, -y) def find(self, x): if self.one[x+1] == 0: return -1 return self.__get(x+1) def __contains__(self, x): return self.one[x+1] > 0 def __iter__(self): x = self.next(0); N = self.N while x < N: for i in range(self.one[x+1]): yield x x = self.next(x+1) def count(self, x): #assert 0 <= x < self.N return self.one[x+1] def __len__(self): return self.size def prev(self, x): #assert 0 <= x <= self.N v = self.__get(x+1) - self.one[x+1] - 1 if v == -1: return -1 return self.__lower_bound(v) def next(self, x): #assert 0 <= x <= self.N if x == self.N or self.one[x+1]: return x v = self.__get(x+1) return self.__lower_bound(v) def at(self, k): v = self.__lower_bound(k) #assert 0 <= k and 0 <= v < self.N return v def __getitem__(self, k): return self.__lower_bound(k) def solve(): readline = sys.stdin.readline write = sys.stdout.write N, K = map(int, readline().split()) T = int(readline()) A = [[] for i in range(N+1)] B = [[] for i in range(N+1)] X = [0]*T s = Set(T) for i in range(T): l, r, x = map(int, readline().split()) A[l-1].append(i) B[r].append(i) X[i] = x c = 0 ans = 0 for i in range(N): for k in A[i]: s.add(k) p0 = s.prev(k) p1 = s.next(k+1) if p0 != -1 and p1 < T: if X[p0]+1 == X[p1]: c -= 1 if p0 != -1: if X[p0]+1 == X[k]: c += 1 if p1 < T: if X[k]+1 == X[p1]: c += 1 for k in B[i]: s.remove(k) p0 = s.prev(k) p1 = s.next(k+1) if p0 != -1: if X[p0]+1 == X[k]: c -= 1 if p1 < T: if X[k]+1 == X[p1]: c -= 1 if p0 != -1 and p1 < T: if X[p0]+1 == X[p1]: c += 1 if len(s) == K and c == K-1: ans += 1 write("%d\n" % ans) solve() ```
output
1
73,269
11
146,539
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Berland crossword is a puzzle that is solved on a square grid with n rows and n columns. Initially all the cells are white. To solve the puzzle one has to color some cells on the border of the grid black in such a way that: * exactly U cells in the top row are black; * exactly R cells in the rightmost column are black; * exactly D cells in the bottom row are black; * exactly L cells in the leftmost column are black. Note that you can color zero cells black and leave every cell white. Your task is to check if there exists a solution to the given puzzle. Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of testcases. Then the descriptions of t testcases follow. The only line of each testcase contains 5 integers n, U, R, D, L (2 ≤ n ≤ 100; 0 ≤ U, R, D, L ≤ n). Output For each testcase print "YES" if the solution exists and "NO" otherwise. You may print every letter in any case you want (so, for example, the strings yEs, yes, Yes and YES are all recognized as positive answer). Example Input 4 5 2 5 3 1 3 0 0 0 0 4 4 1 4 0 2 1 1 1 1 Output YES YES NO YES Note Here are possible solutions to testcases 1, 2 and 4: <image> Submitted Solution: ``` t=int(input()) for _ in range(t): n,u,r,d,l=map(int,input().split()) ans='YES' if(u==n-1): if(l==0 and r==0): ans='NO' if(u==n): if(l==0 or r==0): ans='NO' if(r==n-1): if(u==0 and d==0): ans='NO' if(r==n): if(u==0 or d==0): ans='NO' if(d==n-1): if(l==0 and r==0): ans='NO' if(d==n): if(l==0 or r==0): ans='NO' if(l==n-1): if(u==0 and d==0): ans='NO' if(l==n): if(u==0 or d==0): ans='NO' print(ans) ```
instruction
0
73,575
11
147,150
No
output
1
73,575
11
147,151
Provide tags and a correct Python 3 solution for this coding contest problem. The marmots have prepared a very easy problem for this year's HC2 – this one. It involves numbers n, k and a sequence of n positive integers a1, a2, ..., an. They also came up with a beautiful and riveting story for the problem statement. It explains what the input means, what the program should output, and it also reads like a good criminal. However I, Heidi, will have none of that. As my joke for today, I am removing the story from the statement and replacing it with these two unhelpful paragraphs. Now solve the problem, fools! Input The first line of the input contains two space-separated integers n and k (1 ≤ k ≤ n ≤ 2200). The second line contains n space-separated integers a1, ..., an (1 ≤ ai ≤ 104). Output Output one number. Examples Input 8 5 1 1 1 1 1 1 1 1 Output 5 Input 10 3 16 8 2 4 512 256 32 128 64 1 Output 7 Input 5 1 20 10 50 30 46 Output 10 Input 6 6 6 6 6 6 6 6 Output 36 Input 1 1 100 Output 100
instruction
0
73,830
11
147,660
Tags: greedy, sortings Correct Solution: ``` #Winners never quit, Quitters never win............................................................................ from collections import deque as de import math from collections import Counter as cnt from functools import reduce from typing import MutableMapping from itertools import groupby as gb from fractions import Fraction as fr from bisect import bisect_left as bl, bisect_right as br def factors(n): return set(reduce(list.__add__, ([i, n//i] for i in range(1, int(n**0.5) + 1) if n % i == 0))) class My_stack(): def __init__(self): self.data = [] def my_push(self, x): return (self.data.append(x)) def my_pop(self): return (self.data.pop()) def my_peak(self): return (self.data[-1]) def my_contains(self, x): return (self.data.count(x)) def my_show_all(self): return (self.data) def isEmpty(self): return len(self.data)==0 arrStack = My_stack() def decimalToBinary(n): return bin(n).replace("0b", "") def binarytodecimal(n): return int(n,2) def isPrime(n) : if (n <= 1) : return False if (n <= 3) : return True if (n % 2 == 0 or n % 3 == 0) : return False i = 5 while(i * i <= n) : if (n % i == 0 or n % (i + 2) == 0) : return False i = i + 6 return True def get_prime_factors(number): prime_factors = [] while number % 2 == 0: prime_factors.append(2) number = number / 2 for i in range(3, int(math.sqrt(number)) + 1, 2): while number % i == 0: prime_factors.append(int(i)) number = number / i if number > 2: prime_factors.append(int(number)) return prime_factors def get_frequency(list): dic={} for ele in list: if ele in dic: dic[ele] += 1 else: dic[ele] = 1 return dic def Log2(x): return (math.log10(x) / math.log10(2)); def isPowerOfTwo(n): return (math.ceil(Log2(n)) == math.floor(Log2(n))); def ceildiv(x,y): return (x+y-1)//y #ceil function gives wrong answer after 10^17 so i have to create my own :) # because i don't want to doubt on my solution of 900-1000 problem set. def di():return map(int, input().split()) def li():return sorted(list(map(int, input().split()))) #Here we go...................... #Winners never quit, Quitters never win #concentration and mental toughness are margins of victory n,k=di() a=li() print(sum(a[:k])) ```
output
1
73,830
11
147,661
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The marmots have prepared a very easy problem for this year's HC2 – this one. It involves numbers n, k and a sequence of n positive integers a1, a2, ..., an. They also came up with a beautiful and riveting story for the problem statement. It explains what the input means, what the program should output, and it also reads like a good criminal. However I, Heidi, will have none of that. As my joke for today, I am removing the story from the statement and replacing it with these two unhelpful paragraphs. Now solve the problem, fools! Input The first line of the input contains two space-separated integers n and k (1 ≤ k ≤ n ≤ 2200). The second line contains n space-separated integers a1, ..., an (1 ≤ ai ≤ 104). Output Output one number. Examples Input 8 5 1 1 1 1 1 1 1 1 Output 5 Input 10 3 16 8 2 4 512 256 32 128 64 1 Output 7 Input 5 1 20 10 50 30 46 Output 10 Input 6 6 6 6 6 6 6 6 Output 36 Input 1 1 100 Output 100 Submitted Solution: ``` n, k = map(int, input().split()) l = sorted(list(map(int, input().split()))) print(sum(l[:k])) ```
instruction
0
73,837
11
147,674
Yes
output
1
73,837
11
147,675
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The marmots have prepared a very easy problem for this year's HC2 – this one. It involves numbers n, k and a sequence of n positive integers a1, a2, ..., an. They also came up with a beautiful and riveting story for the problem statement. It explains what the input means, what the program should output, and it also reads like a good criminal. However I, Heidi, will have none of that. As my joke for today, I am removing the story from the statement and replacing it with these two unhelpful paragraphs. Now solve the problem, fools! Input The first line of the input contains two space-separated integers n and k (1 ≤ k ≤ n ≤ 2200). The second line contains n space-separated integers a1, ..., an (1 ≤ ai ≤ 104). Output Output one number. Examples Input 8 5 1 1 1 1 1 1 1 1 Output 5 Input 10 3 16 8 2 4 512 256 32 128 64 1 Output 7 Input 5 1 20 10 50 30 46 Output 10 Input 6 6 6 6 6 6 6 6 Output 36 Input 1 1 100 Output 100 Submitted Solution: ``` n,k=map(int, input().split()) a=sorted([int(i) for i in input().split()]) s=0 for i in range(k): s+=a[i] print(s) ```
instruction
0
73,838
11
147,676
Yes
output
1
73,838
11
147,677
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The marmots have prepared a very easy problem for this year's HC2 – this one. It involves numbers n, k and a sequence of n positive integers a1, a2, ..., an. They also came up with a beautiful and riveting story for the problem statement. It explains what the input means, what the program should output, and it also reads like a good criminal. However I, Heidi, will have none of that. As my joke for today, I am removing the story from the statement and replacing it with these two unhelpful paragraphs. Now solve the problem, fools! Input The first line of the input contains two space-separated integers n and k (1 ≤ k ≤ n ≤ 2200). The second line contains n space-separated integers a1, ..., an (1 ≤ ai ≤ 104). Output Output one number. Examples Input 8 5 1 1 1 1 1 1 1 1 Output 5 Input 10 3 16 8 2 4 512 256 32 128 64 1 Output 7 Input 5 1 20 10 50 30 46 Output 10 Input 6 6 6 6 6 6 6 6 Output 36 Input 1 1 100 Output 100 Submitted Solution: ``` (n, k) = input().split() n = int(n) k = int(k) a = [int(s) for s in input().split()] for i in range (n): k = k * a[i] print(k) ```
instruction
0
73,840
11
147,680
No
output
1
73,840
11
147,681
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The marmots have prepared a very easy problem for this year's HC2 – this one. It involves numbers n, k and a sequence of n positive integers a1, a2, ..., an. They also came up with a beautiful and riveting story for the problem statement. It explains what the input means, what the program should output, and it also reads like a good criminal. However I, Heidi, will have none of that. As my joke for today, I am removing the story from the statement and replacing it with these two unhelpful paragraphs. Now solve the problem, fools! Input The first line of the input contains two space-separated integers n and k (1 ≤ k ≤ n ≤ 2200). The second line contains n space-separated integers a1, ..., an (1 ≤ ai ≤ 104). Output Output one number. Examples Input 8 5 1 1 1 1 1 1 1 1 Output 5 Input 10 3 16 8 2 4 512 256 32 128 64 1 Output 7 Input 5 1 20 10 50 30 46 Output 10 Input 6 6 6 6 6 6 6 6 Output 36 Input 1 1 100 Output 100 Submitted Solution: ``` import math import queue from itertools import permutations print(1) ```
instruction
0
73,841
11
147,682
No
output
1
73,841
11
147,683
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The marmots have prepared a very easy problem for this year's HC2 – this one. It involves numbers n, k and a sequence of n positive integers a1, a2, ..., an. They also came up with a beautiful and riveting story for the problem statement. It explains what the input means, what the program should output, and it also reads like a good criminal. However I, Heidi, will have none of that. As my joke for today, I am removing the story from the statement and replacing it with these two unhelpful paragraphs. Now solve the problem, fools! Input The first line of the input contains two space-separated integers n and k (1 ≤ k ≤ n ≤ 2200). The second line contains n space-separated integers a1, ..., an (1 ≤ ai ≤ 104). Output Output one number. Examples Input 8 5 1 1 1 1 1 1 1 1 Output 5 Input 10 3 16 8 2 4 512 256 32 128 64 1 Output 7 Input 5 1 20 10 50 30 46 Output 10 Input 6 6 6 6 6 6 6 6 Output 36 Input 1 1 100 Output 100 Submitted Solution: ``` a = input().split() s = input().split() s.sort() d = 0 for i in range(int(a[1])): d += int(s.pop(0)) print(d) ```
instruction
0
73,842
11
147,684
No
output
1
73,842
11
147,685
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The marmots have prepared a very easy problem for this year's HC2 – this one. It involves numbers n, k and a sequence of n positive integers a1, a2, ..., an. They also came up with a beautiful and riveting story for the problem statement. It explains what the input means, what the program should output, and it also reads like a good criminal. However I, Heidi, will have none of that. As my joke for today, I am removing the story from the statement and replacing it with these two unhelpful paragraphs. Now solve the problem, fools! Input The first line of the input contains two space-separated integers n and k (1 ≤ k ≤ n ≤ 2200). The second line contains n space-separated integers a1, ..., an (1 ≤ ai ≤ 104). Output Output one number. Examples Input 8 5 1 1 1 1 1 1 1 1 Output 5 Input 10 3 16 8 2 4 512 256 32 128 64 1 Output 7 Input 5 1 20 10 50 30 46 Output 10 Input 6 6 6 6 6 6 6 6 Output 36 Input 1 1 100 Output 100 Submitted Solution: ``` print(2) ```
instruction
0
73,843
11
147,686
No
output
1
73,843
11
147,687
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This is an interactive problem. Refer to the Interaction section below for better understanding. Ithea and Chtholly want to play a game in order to determine who can use the kitchen tonight. <image> Initially, Ithea puts n clear sheets of paper in a line. They are numbered from 1 to n from left to right. This game will go on for m rounds. In each round, Ithea will give Chtholly an integer between 1 and c, and Chtholly needs to choose one of the sheets to write down this number (if there is already a number before, she will erase the original one and replace it with the new one). Chtholly wins if, at any time, all the sheets are filled with a number and the n numbers are in non-decreasing order looking from left to right from sheet 1 to sheet n, and if after m rounds she still doesn't win, she loses the game. Chtholly really wants to win the game as she wants to cook something for Willem. But she doesn't know how to win the game. So Chtholly finds you, and your task is to write a program to receive numbers that Ithea gives Chtholly and help her make the decision on which sheet of paper write this number. Input The first line contains 3 integers n, m and c (<image>, <image> means <image> rounded up) — the number of sheets, the number of rounds and the largest possible number Ithea can give to Chtholly respectively. The remaining parts of input are given throughout the interaction process. Interaction In each round, your program needs to read one line containing a single integer pi (1 ≤ pi ≤ c), indicating the number given to Chtholly. Your program should then output a line containing an integer between 1 and n, indicating the number of sheet to write down this number in. After outputting each line, don't forget to flush the output. For example: * fflush(stdout) in C/C++; * System.out.flush() in Java; * sys.stdout.flush() in Python; * flush(output) in Pascal; * See the documentation for other languages. If Chtholly wins at the end of a round, no more input will become available and your program should terminate normally. It can be shown that under the constraints, it's always possible for Chtholly to win the game. Example Input 2 4 4 2 1 3 Output 1 2 2 Note In the example, Chtholly initially knew there were 2 sheets, 4 rounds and each number was between 1 and 4. She then received a 2 and decided to write it in the 1st sheet. Then she received a 1 and wrote it in the 2nd sheet. At last, she received a 3 and replaced 1 with 3 in the 2nd sheet. At this time all the sheets were filled with a number and they were non-decreasing, so she won the game. Note that it is required that your program terminate immediately after Chtholly wins and do not read numbers from the input for the remaining rounds. If not, undefined behaviour may arise and it won't be sure whether your program will be accepted or rejected. Also because of this, please be careful when hacking others' codes. In the sample, Chtholly won the game after the 3rd round, so it is required that your program doesn't read the number of the remaining 4th round. The input format for hacking: * The first line contains 3 integers n, m and c; * The following m lines each contains an integer between 1 and c, indicating the number given to Chtholly in each round. Submitted Solution: ``` import sys n, m, c = map(int, input().split()) free = n nums = [0] * n for i in range(m): pi = int(input()) if(pi > c//2): current = n - 1 while(nums[current] > 0 and nums[current] >= pi and current >= 0):current -= 1 if(current == -1):current = 0 if(nums[current] == 0):free -= 1 nums[current] = pi print(current + 1) else: current = 0 while(current < n and nums[current] > 0 and nums[current] <= pi):current += 1 if(current == n):current = n - 1 if(nums[current] == 0):free -=1 nums[current] = pi print(current + 1) if(free == 0):break # Made By Mostafa_Khaled ```
instruction
0
73,892
11
147,784
Yes
output
1
73,892
11
147,785
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This is an interactive problem. Refer to the Interaction section below for better understanding. Ithea and Chtholly want to play a game in order to determine who can use the kitchen tonight. <image> Initially, Ithea puts n clear sheets of paper in a line. They are numbered from 1 to n from left to right. This game will go on for m rounds. In each round, Ithea will give Chtholly an integer between 1 and c, and Chtholly needs to choose one of the sheets to write down this number (if there is already a number before, she will erase the original one and replace it with the new one). Chtholly wins if, at any time, all the sheets are filled with a number and the n numbers are in non-decreasing order looking from left to right from sheet 1 to sheet n, and if after m rounds she still doesn't win, she loses the game. Chtholly really wants to win the game as she wants to cook something for Willem. But she doesn't know how to win the game. So Chtholly finds you, and your task is to write a program to receive numbers that Ithea gives Chtholly and help her make the decision on which sheet of paper write this number. Input The first line contains 3 integers n, m and c (<image>, <image> means <image> rounded up) — the number of sheets, the number of rounds and the largest possible number Ithea can give to Chtholly respectively. The remaining parts of input are given throughout the interaction process. Interaction In each round, your program needs to read one line containing a single integer pi (1 ≤ pi ≤ c), indicating the number given to Chtholly. Your program should then output a line containing an integer between 1 and n, indicating the number of sheet to write down this number in. After outputting each line, don't forget to flush the output. For example: * fflush(stdout) in C/C++; * System.out.flush() in Java; * sys.stdout.flush() in Python; * flush(output) in Pascal; * See the documentation for other languages. If Chtholly wins at the end of a round, no more input will become available and your program should terminate normally. It can be shown that under the constraints, it's always possible for Chtholly to win the game. Example Input 2 4 4 2 1 3 Output 1 2 2 Note In the example, Chtholly initially knew there were 2 sheets, 4 rounds and each number was between 1 and 4. She then received a 2 and decided to write it in the 1st sheet. Then she received a 1 and wrote it in the 2nd sheet. At last, she received a 3 and replaced 1 with 3 in the 2nd sheet. At this time all the sheets were filled with a number and they were non-decreasing, so she won the game. Note that it is required that your program terminate immediately after Chtholly wins and do not read numbers from the input for the remaining rounds. If not, undefined behaviour may arise and it won't be sure whether your program will be accepted or rejected. Also because of this, please be careful when hacking others' codes. In the sample, Chtholly won the game after the 3rd round, so it is required that your program doesn't read the number of the remaining 4th round. The input format for hacking: * The first line contains 3 integers n, m and c; * The following m lines each contains an integer between 1 and c, indicating the number given to Chtholly in each round. Submitted Solution: ``` import sys import math N, M, C = map(int, input().split()) mid = C // 2 res = [] for i in range(0, N): res.append(0) l, r = 0, N - 1 for i in range(0, M): val = int(input()) pos = 0 if (val <= mid): for j in range(0, l + 1): if (res[j] == 0 or val < res[j]): res[j] = val pos = j break if (pos == l): l += 1 else: for j in range(N - 1, r - 1, -1): if (res[j] == 0 or val > res[j]): res[j] = val pos = j break if (pos == r): r -= 1 print ("%d" % (pos + 1)) sys.stdout.flush() if (l > r): exit() ```
instruction
0
73,893
11
147,786
Yes
output
1
73,893
11
147,787