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Provide a correct Python 3 solution for this coding contest problem. You are going to eat X red apples and Y green apples. You have A red apples of deliciousness p_1,p_2, \dots, p_A, B green apples of deliciousness q_1,q_2, \dots, q_B, and C colorless apples of deliciousness r_1,r_2, \dots, r_C. Before eating a colorless apple, you can paint it red or green, and it will count as a red or green apple, respectively. From the apples above, you will choose the apples to eat while making the sum of the deliciousness of the eaten apples as large as possible. Find the maximum possible sum of the deliciousness of the eaten apples that can be achieved when optimally coloring zero or more colorless apples. Constraints * 1 \leq X \leq A \leq 10^5 * 1 \leq Y \leq B \leq 10^5 * 1 \leq C \leq 10^5 * 1 \leq p_i \leq 10^9 * 1 \leq q_i \leq 10^9 * 1 \leq r_i \leq 10^9 * All values in input are integers. Input Input is given from Standard Input in the following format: X Y A B C p_1 p_2 ... p_A q_1 q_2 ... q_B r_1 r_2 ... r_C Output Print the maximum possible sum of the deliciousness of the eaten apples. Examples Input 1 2 2 2 1 2 4 5 1 3 Output 12 Input 2 2 2 2 2 8 6 9 1 2 1 Output 25 Input 2 2 4 4 4 11 12 13 14 21 22 23 24 1 2 3 4 Output 74
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"Correct Solution: ``` X,Y,A,B,C=map(int,input().split()) p=list(map(int,input().split())) q=list(map(int,input().split())) r=list(map(int,input().split())) p.sort(reverse=True) q.sort(reverse=True) r.sort(reverse=True) eat=p[:X]+q[:Y]+r eat.sort(reverse=True) eat=eat[:(X+Y)] print(sum(eat)) ```
output
1
32,259
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Provide a correct Python 3 solution for this coding contest problem. You are going to eat X red apples and Y green apples. You have A red apples of deliciousness p_1,p_2, \dots, p_A, B green apples of deliciousness q_1,q_2, \dots, q_B, and C colorless apples of deliciousness r_1,r_2, \dots, r_C. Before eating a colorless apple, you can paint it red or green, and it will count as a red or green apple, respectively. From the apples above, you will choose the apples to eat while making the sum of the deliciousness of the eaten apples as large as possible. Find the maximum possible sum of the deliciousness of the eaten apples that can be achieved when optimally coloring zero or more colorless apples. Constraints * 1 \leq X \leq A \leq 10^5 * 1 \leq Y \leq B \leq 10^5 * 1 \leq C \leq 10^5 * 1 \leq p_i \leq 10^9 * 1 \leq q_i \leq 10^9 * 1 \leq r_i \leq 10^9 * All values in input are integers. Input Input is given from Standard Input in the following format: X Y A B C p_1 p_2 ... p_A q_1 q_2 ... q_B r_1 r_2 ... r_C Output Print the maximum possible sum of the deliciousness of the eaten apples. Examples Input 1 2 2 2 1 2 4 5 1 3 Output 12 Input 2 2 2 2 2 8 6 9 1 2 1 Output 25 Input 2 2 4 4 4 11 12 13 14 21 22 23 24 1 2 3 4 Output 74
instruction
0
32,260
9
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"Correct Solution: ``` x,y,a,b,c=map(int,input().split()) *p,=sorted(map(int, input().split())) *q,=sorted(map(int, input().split())) *r,=map(int, input().split()) p=p[-x:] q=q[-y:] r=sorted(p+q+r) print(sum(r[-x-y:])) ```
output
1
32,260
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64,521
Provide a correct Python 3 solution for this coding contest problem. You are going to eat X red apples and Y green apples. You have A red apples of deliciousness p_1,p_2, \dots, p_A, B green apples of deliciousness q_1,q_2, \dots, q_B, and C colorless apples of deliciousness r_1,r_2, \dots, r_C. Before eating a colorless apple, you can paint it red or green, and it will count as a red or green apple, respectively. From the apples above, you will choose the apples to eat while making the sum of the deliciousness of the eaten apples as large as possible. Find the maximum possible sum of the deliciousness of the eaten apples that can be achieved when optimally coloring zero or more colorless apples. Constraints * 1 \leq X \leq A \leq 10^5 * 1 \leq Y \leq B \leq 10^5 * 1 \leq C \leq 10^5 * 1 \leq p_i \leq 10^9 * 1 \leq q_i \leq 10^9 * 1 \leq r_i \leq 10^9 * All values in input are integers. Input Input is given from Standard Input in the following format: X Y A B C p_1 p_2 ... p_A q_1 q_2 ... q_B r_1 r_2 ... r_C Output Print the maximum possible sum of the deliciousness of the eaten apples. Examples Input 1 2 2 2 1 2 4 5 1 3 Output 12 Input 2 2 2 2 2 8 6 9 1 2 1 Output 25 Input 2 2 4 4 4 11 12 13 14 21 22 23 24 1 2 3 4 Output 74
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32,261
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"Correct Solution: ``` x, y, a, b, c = map(int, input().split()) p = list(map(int, input().split())) q = list(map(int, input().split())) r = list(map(int, input().split())) p.sort(reverse=True) q.sort(reverse=True) ls = p[:x]+q[:y]+r ls.sort(reverse=True) print(sum(ls[:x+y])) ```
output
1
32,261
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Provide a correct Python 3 solution for this coding contest problem. You are going to eat X red apples and Y green apples. You have A red apples of deliciousness p_1,p_2, \dots, p_A, B green apples of deliciousness q_1,q_2, \dots, q_B, and C colorless apples of deliciousness r_1,r_2, \dots, r_C. Before eating a colorless apple, you can paint it red or green, and it will count as a red or green apple, respectively. From the apples above, you will choose the apples to eat while making the sum of the deliciousness of the eaten apples as large as possible. Find the maximum possible sum of the deliciousness of the eaten apples that can be achieved when optimally coloring zero or more colorless apples. Constraints * 1 \leq X \leq A \leq 10^5 * 1 \leq Y \leq B \leq 10^5 * 1 \leq C \leq 10^5 * 1 \leq p_i \leq 10^9 * 1 \leq q_i \leq 10^9 * 1 \leq r_i \leq 10^9 * All values in input are integers. Input Input is given from Standard Input in the following format: X Y A B C p_1 p_2 ... p_A q_1 q_2 ... q_B r_1 r_2 ... r_C Output Print the maximum possible sum of the deliciousness of the eaten apples. Examples Input 1 2 2 2 1 2 4 5 1 3 Output 12 Input 2 2 2 2 2 8 6 9 1 2 1 Output 25 Input 2 2 4 4 4 11 12 13 14 21 22 23 24 1 2 3 4 Output 74
instruction
0
32,262
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"Correct Solution: ``` x, y, a, b, c = map(int, input().split()) p = sorted(list(map(int, input().split())), reverse=True)[:x] q = sorted(list(map(int, input().split())), reverse=True)[:y] r = list(map(int, input().split())) print(sum(sorted(p + q + r, reverse=True)[:x+y])) ```
output
1
32,262
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are going to eat X red apples and Y green apples. You have A red apples of deliciousness p_1,p_2, \dots, p_A, B green apples of deliciousness q_1,q_2, \dots, q_B, and C colorless apples of deliciousness r_1,r_2, \dots, r_C. Before eating a colorless apple, you can paint it red or green, and it will count as a red or green apple, respectively. From the apples above, you will choose the apples to eat while making the sum of the deliciousness of the eaten apples as large as possible. Find the maximum possible sum of the deliciousness of the eaten apples that can be achieved when optimally coloring zero or more colorless apples. Constraints * 1 \leq X \leq A \leq 10^5 * 1 \leq Y \leq B \leq 10^5 * 1 \leq C \leq 10^5 * 1 \leq p_i \leq 10^9 * 1 \leq q_i \leq 10^9 * 1 \leq r_i \leq 10^9 * All values in input are integers. Input Input is given from Standard Input in the following format: X Y A B C p_1 p_2 ... p_A q_1 q_2 ... q_B r_1 r_2 ... r_C Output Print the maximum possible sum of the deliciousness of the eaten apples. Examples Input 1 2 2 2 1 2 4 5 1 3 Output 12 Input 2 2 2 2 2 8 6 9 1 2 1 Output 25 Input 2 2 4 4 4 11 12 13 14 21 22 23 24 1 2 3 4 Output 74 Submitted Solution: ``` X, Y, A, B, C = map(int, input().split()) p = list(map(int, input().split())) q = list(map(int, input().split())) r = list(map(int, input().split())) p.sort() q.sort() r.sort() p = p[-X:] q = q[-Y:] r.extend(p) r.extend(q) r.sort() print(sum(r[-(X + Y):])) ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are going to eat X red apples and Y green apples. You have A red apples of deliciousness p_1,p_2, \dots, p_A, B green apples of deliciousness q_1,q_2, \dots, q_B, and C colorless apples of deliciousness r_1,r_2, \dots, r_C. Before eating a colorless apple, you can paint it red or green, and it will count as a red or green apple, respectively. From the apples above, you will choose the apples to eat while making the sum of the deliciousness of the eaten apples as large as possible. Find the maximum possible sum of the deliciousness of the eaten apples that can be achieved when optimally coloring zero or more colorless apples. Constraints * 1 \leq X \leq A \leq 10^5 * 1 \leq Y \leq B \leq 10^5 * 1 \leq C \leq 10^5 * 1 \leq p_i \leq 10^9 * 1 \leq q_i \leq 10^9 * 1 \leq r_i \leq 10^9 * All values in input are integers. Input Input is given from Standard Input in the following format: X Y A B C p_1 p_2 ... p_A q_1 q_2 ... q_B r_1 r_2 ... r_C Output Print the maximum possible sum of the deliciousness of the eaten apples. Examples Input 1 2 2 2 1 2 4 5 1 3 Output 12 Input 2 2 2 2 2 8 6 9 1 2 1 Output 25 Input 2 2 4 4 4 11 12 13 14 21 22 23 24 1 2 3 4 Output 74 Submitted Solution: ``` x, y, a, b, c = map(int, input().split()) P = list(map(int, input().split())) Q = list(map(int, input().split())) R = list(map(int, input().split())) P.sort(reverse=True); Q.sort(reverse=True) print(sum(sorted(P[:x]+Q[:y]+R, reverse=True)[:x+y])) ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are going to eat X red apples and Y green apples. You have A red apples of deliciousness p_1,p_2, \dots, p_A, B green apples of deliciousness q_1,q_2, \dots, q_B, and C colorless apples of deliciousness r_1,r_2, \dots, r_C. Before eating a colorless apple, you can paint it red or green, and it will count as a red or green apple, respectively. From the apples above, you will choose the apples to eat while making the sum of the deliciousness of the eaten apples as large as possible. Find the maximum possible sum of the deliciousness of the eaten apples that can be achieved when optimally coloring zero or more colorless apples. Constraints * 1 \leq X \leq A \leq 10^5 * 1 \leq Y \leq B \leq 10^5 * 1 \leq C \leq 10^5 * 1 \leq p_i \leq 10^9 * 1 \leq q_i \leq 10^9 * 1 \leq r_i \leq 10^9 * All values in input are integers. Input Input is given from Standard Input in the following format: X Y A B C p_1 p_2 ... p_A q_1 q_2 ... q_B r_1 r_2 ... r_C Output Print the maximum possible sum of the deliciousness of the eaten apples. Examples Input 1 2 2 2 1 2 4 5 1 3 Output 12 Input 2 2 2 2 2 8 6 9 1 2 1 Output 25 Input 2 2 4 4 4 11 12 13 14 21 22 23 24 1 2 3 4 Output 74 Submitted Solution: ``` x,y,a,b,c=map(int,input().split()) p=sorted(list(map(int,input().split())),reverse=True) q=sorted(list(map(int,input().split())),reverse=True) r=sorted(list(map(int,input().split())),reverse=True) all=sorted(p[:x]+q[:y]+r,reverse=True) print(sum(all[:x+y])) ```
instruction
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32,265
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Yes
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1
32,265
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64,531
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are going to eat X red apples and Y green apples. You have A red apples of deliciousness p_1,p_2, \dots, p_A, B green apples of deliciousness q_1,q_2, \dots, q_B, and C colorless apples of deliciousness r_1,r_2, \dots, r_C. Before eating a colorless apple, you can paint it red or green, and it will count as a red or green apple, respectively. From the apples above, you will choose the apples to eat while making the sum of the deliciousness of the eaten apples as large as possible. Find the maximum possible sum of the deliciousness of the eaten apples that can be achieved when optimally coloring zero or more colorless apples. Constraints * 1 \leq X \leq A \leq 10^5 * 1 \leq Y \leq B \leq 10^5 * 1 \leq C \leq 10^5 * 1 \leq p_i \leq 10^9 * 1 \leq q_i \leq 10^9 * 1 \leq r_i \leq 10^9 * All values in input are integers. Input Input is given from Standard Input in the following format: X Y A B C p_1 p_2 ... p_A q_1 q_2 ... q_B r_1 r_2 ... r_C Output Print the maximum possible sum of the deliciousness of the eaten apples. Examples Input 1 2 2 2 1 2 4 5 1 3 Output 12 Input 2 2 2 2 2 8 6 9 1 2 1 Output 25 Input 2 2 4 4 4 11 12 13 14 21 22 23 24 1 2 3 4 Output 74 Submitted Solution: ``` import sys input = sys.stdin.readline X,Y,A,B,C=map(int,input().split()) P=sorted(map(int,input().split()),reverse=True) Q=sorted(map(int,input().split()),reverse=True) R=list(map(int,input().split())) C=P[:X]+Q[:Y]+R C.sort(reverse=True) print(sum(C[:X+Y])) ```
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32,266
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Yes
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are going to eat X red apples and Y green apples. You have A red apples of deliciousness p_1,p_2, \dots, p_A, B green apples of deliciousness q_1,q_2, \dots, q_B, and C colorless apples of deliciousness r_1,r_2, \dots, r_C. Before eating a colorless apple, you can paint it red or green, and it will count as a red or green apple, respectively. From the apples above, you will choose the apples to eat while making the sum of the deliciousness of the eaten apples as large as possible. Find the maximum possible sum of the deliciousness of the eaten apples that can be achieved when optimally coloring zero or more colorless apples. Constraints * 1 \leq X \leq A \leq 10^5 * 1 \leq Y \leq B \leq 10^5 * 1 \leq C \leq 10^5 * 1 \leq p_i \leq 10^9 * 1 \leq q_i \leq 10^9 * 1 \leq r_i \leq 10^9 * All values in input are integers. Input Input is given from Standard Input in the following format: X Y A B C p_1 p_2 ... p_A q_1 q_2 ... q_B r_1 r_2 ... r_C Output Print the maximum possible sum of the deliciousness of the eaten apples. Examples Input 1 2 2 2 1 2 4 5 1 3 Output 12 Input 2 2 2 2 2 8 6 9 1 2 1 Output 25 Input 2 2 4 4 4 11 12 13 14 21 22 23 24 1 2 3 4 Output 74 Submitted Solution: ``` #!/usr/bin/env python3 from pprint import pprint import sys sys.setrecursionlimit(10 ** 6) X, Y, A, B, C = map(int, input().split()) apples_A = sorted(list(map(int, input().split()))) apples_B = sorted(list(map(int, input().split()))) apples_C = sorted(list(map(int, input().split()))) # 赤のリンゴからおいしさが大きい順に X 個選ぶ # 緑のリンゴからおいしさが大きい順に Y 個選ぶ # 無色のリンゴからおいしさが最も大きいリングを選び、そのリンゴ以上の美味しさでかつ美味しさが最も小さい赤 or 緑リンゴと交換する # 上記の交換をできるだけ多く行う res_A = apples_A[A - X:] res_B = apples_B[B - Y:] while apples_C: candidate = apples_C.pop() min_apple = min(res_A[0], res_B[0]) if candidate <= min_apple: break if res_A[0] <= res_B[0]: # there is apple which has minimum value in A res_A[0] = candidate else: res_B[0] = candidate ans = sum(res_A) + sum(res_B) print(ans) ```
instruction
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32,267
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64,534
No
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32,267
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64,535
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are going to eat X red apples and Y green apples. You have A red apples of deliciousness p_1,p_2, \dots, p_A, B green apples of deliciousness q_1,q_2, \dots, q_B, and C colorless apples of deliciousness r_1,r_2, \dots, r_C. Before eating a colorless apple, you can paint it red or green, and it will count as a red or green apple, respectively. From the apples above, you will choose the apples to eat while making the sum of the deliciousness of the eaten apples as large as possible. Find the maximum possible sum of the deliciousness of the eaten apples that can be achieved when optimally coloring zero or more colorless apples. Constraints * 1 \leq X \leq A \leq 10^5 * 1 \leq Y \leq B \leq 10^5 * 1 \leq C \leq 10^5 * 1 \leq p_i \leq 10^9 * 1 \leq q_i \leq 10^9 * 1 \leq r_i \leq 10^9 * All values in input are integers. Input Input is given from Standard Input in the following format: X Y A B C p_1 p_2 ... p_A q_1 q_2 ... q_B r_1 r_2 ... r_C Output Print the maximum possible sum of the deliciousness of the eaten apples. Examples Input 1 2 2 2 1 2 4 5 1 3 Output 12 Input 2 2 2 2 2 8 6 9 1 2 1 Output 25 Input 2 2 4 4 4 11 12 13 14 21 22 23 24 1 2 3 4 Output 74 Submitted Solution: ``` import sys input = sys.stdin.readline X, Y, A, B, C = map(int, input().split()) p = [int(x) for x in input().split()] q = [int(x) for x in input().split()] r = [int(x) for x in input().split()] p.sort(reverse = True) q.sort(reverse = True) r.sort(reverse = True) red = p[:X] green = q[:Y] ri = 1 gi = 1 while True : if not r : break red_min = min(red[-ri], red[-1]) green_min = min(green[-gi], green[-1]) if red_min > green_min : if green_min < r[0] : green.remove(green_min) green.append(r[0]) gi += 1 r.pop(0) else : break else : if red_min < r[0] : red.remove(red_min) red.append(r[0]) ri += 1 r.pop(0) else : break print(sum(red)+sum(green)) ```
instruction
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32,268
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No
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are going to eat X red apples and Y green apples. You have A red apples of deliciousness p_1,p_2, \dots, p_A, B green apples of deliciousness q_1,q_2, \dots, q_B, and C colorless apples of deliciousness r_1,r_2, \dots, r_C. Before eating a colorless apple, you can paint it red or green, and it will count as a red or green apple, respectively. From the apples above, you will choose the apples to eat while making the sum of the deliciousness of the eaten apples as large as possible. Find the maximum possible sum of the deliciousness of the eaten apples that can be achieved when optimally coloring zero or more colorless apples. Constraints * 1 \leq X \leq A \leq 10^5 * 1 \leq Y \leq B \leq 10^5 * 1 \leq C \leq 10^5 * 1 \leq p_i \leq 10^9 * 1 \leq q_i \leq 10^9 * 1 \leq r_i \leq 10^9 * All values in input are integers. Input Input is given from Standard Input in the following format: X Y A B C p_1 p_2 ... p_A q_1 q_2 ... q_B r_1 r_2 ... r_C Output Print the maximum possible sum of the deliciousness of the eaten apples. Examples Input 1 2 2 2 1 2 4 5 1 3 Output 12 Input 2 2 2 2 2 8 6 9 1 2 1 Output 25 Input 2 2 4 4 4 11 12 13 14 21 22 23 24 1 2 3 4 Output 74 Submitted Solution: ``` # -*- coding: utf-8 -*- from collections import deque X,Y,A,B,C = map(int, input().split()) P = list(map(int, input().split())) Q = list(map(int, input().split())) R = list(map(int, input().split())) def sort(L): if len(L)==1: return L left = sort(L[:len(L)//2]) right = sort(L[len(L)//2:]) result = [] left.append(-1) right.append(-1) left_index = 0 right_index = 0 while len(result)<len(L): if left[left_index]>=right[right_index]: result.append(left[left_index]) left_index += 1 else: result.append(right[right_index]) right_index += 1 return result P = sort(P)[:X] Q = sort(Q)[:Y] R = sort(P+Q+R)[:X+Y] print(sum(R)) ```
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32,269
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No
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are going to eat X red apples and Y green apples. You have A red apples of deliciousness p_1,p_2, \dots, p_A, B green apples of deliciousness q_1,q_2, \dots, q_B, and C colorless apples of deliciousness r_1,r_2, \dots, r_C. Before eating a colorless apple, you can paint it red or green, and it will count as a red or green apple, respectively. From the apples above, you will choose the apples to eat while making the sum of the deliciousness of the eaten apples as large as possible. Find the maximum possible sum of the deliciousness of the eaten apples that can be achieved when optimally coloring zero or more colorless apples. Constraints * 1 \leq X \leq A \leq 10^5 * 1 \leq Y \leq B \leq 10^5 * 1 \leq C \leq 10^5 * 1 \leq p_i \leq 10^9 * 1 \leq q_i \leq 10^9 * 1 \leq r_i \leq 10^9 * All values in input are integers. Input Input is given from Standard Input in the following format: X Y A B C p_1 p_2 ... p_A q_1 q_2 ... q_B r_1 r_2 ... r_C Output Print the maximum possible sum of the deliciousness of the eaten apples. Examples Input 1 2 2 2 1 2 4 5 1 3 Output 12 Input 2 2 2 2 2 8 6 9 1 2 1 Output 25 Input 2 2 4 4 4 11 12 13 14 21 22 23 24 1 2 3 4 Output 74 Submitted Solution: ``` from collections import deque x,y,a,b,c=map(int,input().split()) p=sorted(list(map(int,input().split())),reverse=True) q=sorted(list(map(int,input().split())),reverse=True) r=deque(sorted(list(map(int,input().split())),reverse=True)) p=deque(p[:x]) q=deque(q[:y]) ans=sum(p)+sum(q) while p[-1]<r[0] or q[-1]<r[0]: if p[-1]<q[-1]: ans+=r[0]-p[-1] r.popleft() p.pop() else: ans+=r[0]-q[-1] r.popleft() q.pop() if p==deque([]) or q==deque([]) or r==deque([]): break print(ans) ```
instruction
0
32,270
9
64,540
No
output
1
32,270
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64,541
Provide a correct Python 3 solution for this coding contest problem. You have N apples, called Apple 1, Apple 2, Apple 3, ..., Apple N. The flavor of Apple i is L+i-1, which can be negative. You can make an apple pie using one or more of the apples. The flavor of the apple pie will be the sum of the flavors of the apples used. You planned to make an apple pie using all of the apples, but being hungry tempts you to eat one of them, which can no longer be used to make the apple pie. You want to make an apple pie that is as similar as possible to the one that you planned to make. Thus, you will choose the apple to eat so that the flavor of the apple pie made of the remaining N-1 apples will have the smallest possible absolute difference from the flavor of the apple pie made of all the N apples. Find the flavor of the apple pie made of the remaining N-1 apples when you choose the apple to eat as above. We can prove that this value is uniquely determined. Constraints * 2 \leq N \leq 200 * -100 \leq L \leq 100 * All values in input are integers. Input Input is given from Standard Input in the following format: N L Output Find the flavor of the apple pie made of the remaining N-1 apples when you optimally choose the apple to eat. Examples Input 5 2 Output 18 Input 3 -1 Output 0 Input 30 -50 Output -1044
instruction
0
32,287
9
64,574
"Correct Solution: ``` N,L=map(int,input().split()) l=[L+i for i in range(N)] l_abs=[abs(i) for i in l] print(sum(l)-l[l_abs.index(min(l_abs))]) ```
output
1
32,287
9
64,575
Provide a correct Python 3 solution for this coding contest problem. You have N apples, called Apple 1, Apple 2, Apple 3, ..., Apple N. The flavor of Apple i is L+i-1, which can be negative. You can make an apple pie using one or more of the apples. The flavor of the apple pie will be the sum of the flavors of the apples used. You planned to make an apple pie using all of the apples, but being hungry tempts you to eat one of them, which can no longer be used to make the apple pie. You want to make an apple pie that is as similar as possible to the one that you planned to make. Thus, you will choose the apple to eat so that the flavor of the apple pie made of the remaining N-1 apples will have the smallest possible absolute difference from the flavor of the apple pie made of all the N apples. Find the flavor of the apple pie made of the remaining N-1 apples when you choose the apple to eat as above. We can prove that this value is uniquely determined. Constraints * 2 \leq N \leq 200 * -100 \leq L \leq 100 * All values in input are integers. Input Input is given from Standard Input in the following format: N L Output Find the flavor of the apple pie made of the remaining N-1 apples when you optimally choose the apple to eat. Examples Input 5 2 Output 18 Input 3 -1 Output 0 Input 30 -50 Output -1044
instruction
0
32,288
9
64,576
"Correct Solution: ``` N, L = map(int, input().split()) aji = [L + i for i in range(N)] print(sum(aji) - min(aji, key=abs)) ```
output
1
32,288
9
64,577
Provide a correct Python 3 solution for this coding contest problem. You have N apples, called Apple 1, Apple 2, Apple 3, ..., Apple N. The flavor of Apple i is L+i-1, which can be negative. You can make an apple pie using one or more of the apples. The flavor of the apple pie will be the sum of the flavors of the apples used. You planned to make an apple pie using all of the apples, but being hungry tempts you to eat one of them, which can no longer be used to make the apple pie. You want to make an apple pie that is as similar as possible to the one that you planned to make. Thus, you will choose the apple to eat so that the flavor of the apple pie made of the remaining N-1 apples will have the smallest possible absolute difference from the flavor of the apple pie made of all the N apples. Find the flavor of the apple pie made of the remaining N-1 apples when you choose the apple to eat as above. We can prove that this value is uniquely determined. Constraints * 2 \leq N \leq 200 * -100 \leq L \leq 100 * All values in input are integers. Input Input is given from Standard Input in the following format: N L Output Find the flavor of the apple pie made of the remaining N-1 apples when you optimally choose the apple to eat. Examples Input 5 2 Output 18 Input 3 -1 Output 0 Input 30 -50 Output -1044
instruction
0
32,289
9
64,578
"Correct Solution: ``` n,l=map(int,input().split()) if n+l-1<0: b=n+l-1 elif l>0: b=l else: b=0 print(int(n*(2*l+n-1)/2-b)) ```
output
1
32,289
9
64,579
Provide a correct Python 3 solution for this coding contest problem. You have N apples, called Apple 1, Apple 2, Apple 3, ..., Apple N. The flavor of Apple i is L+i-1, which can be negative. You can make an apple pie using one or more of the apples. The flavor of the apple pie will be the sum of the flavors of the apples used. You planned to make an apple pie using all of the apples, but being hungry tempts you to eat one of them, which can no longer be used to make the apple pie. You want to make an apple pie that is as similar as possible to the one that you planned to make. Thus, you will choose the apple to eat so that the flavor of the apple pie made of the remaining N-1 apples will have the smallest possible absolute difference from the flavor of the apple pie made of all the N apples. Find the flavor of the apple pie made of the remaining N-1 apples when you choose the apple to eat as above. We can prove that this value is uniquely determined. Constraints * 2 \leq N \leq 200 * -100 \leq L \leq 100 * All values in input are integers. Input Input is given from Standard Input in the following format: N L Output Find the flavor of the apple pie made of the remaining N-1 apples when you optimally choose the apple to eat. Examples Input 5 2 Output 18 Input 3 -1 Output 0 Input 30 -50 Output -1044
instruction
0
32,290
9
64,580
"Correct Solution: ``` n,l = map(int,input().split()) if 0 <= l: t = 1 else: t = min(n,-l+1) print(int((1/2*n*(2*l+n-1)-(t+l-1)))) ```
output
1
32,290
9
64,581
Provide a correct Python 3 solution for this coding contest problem. You have N apples, called Apple 1, Apple 2, Apple 3, ..., Apple N. The flavor of Apple i is L+i-1, which can be negative. You can make an apple pie using one or more of the apples. The flavor of the apple pie will be the sum of the flavors of the apples used. You planned to make an apple pie using all of the apples, but being hungry tempts you to eat one of them, which can no longer be used to make the apple pie. You want to make an apple pie that is as similar as possible to the one that you planned to make. Thus, you will choose the apple to eat so that the flavor of the apple pie made of the remaining N-1 apples will have the smallest possible absolute difference from the flavor of the apple pie made of all the N apples. Find the flavor of the apple pie made of the remaining N-1 apples when you choose the apple to eat as above. We can prove that this value is uniquely determined. Constraints * 2 \leq N \leq 200 * -100 \leq L \leq 100 * All values in input are integers. Input Input is given from Standard Input in the following format: N L Output Find the flavor of the apple pie made of the remaining N-1 apples when you optimally choose the apple to eat. Examples Input 5 2 Output 18 Input 3 -1 Output 0 Input 30 -50 Output -1044
instruction
0
32,291
9
64,582
"Correct Solution: ``` n,l = map(int,input().split()) al = [l+i for i in range(n)] a = min(al,key=abs) al.remove(a) print(sum(al)) ```
output
1
32,291
9
64,583
Provide a correct Python 3 solution for this coding contest problem. You have N apples, called Apple 1, Apple 2, Apple 3, ..., Apple N. The flavor of Apple i is L+i-1, which can be negative. You can make an apple pie using one or more of the apples. The flavor of the apple pie will be the sum of the flavors of the apples used. You planned to make an apple pie using all of the apples, but being hungry tempts you to eat one of them, which can no longer be used to make the apple pie. You want to make an apple pie that is as similar as possible to the one that you planned to make. Thus, you will choose the apple to eat so that the flavor of the apple pie made of the remaining N-1 apples will have the smallest possible absolute difference from the flavor of the apple pie made of all the N apples. Find the flavor of the apple pie made of the remaining N-1 apples when you choose the apple to eat as above. We can prove that this value is uniquely determined. Constraints * 2 \leq N \leq 200 * -100 \leq L \leq 100 * All values in input are integers. Input Input is given from Standard Input in the following format: N L Output Find the flavor of the apple pie made of the remaining N-1 apples when you optimally choose the apple to eat. Examples Input 5 2 Output 18 Input 3 -1 Output 0 Input 30 -50 Output -1044
instruction
0
32,292
9
64,584
"Correct Solution: ``` N,L = map(int,input().split()) A = [L+i for i in range(N)] A.sort(key = lambda x: abs(x)) answer = sum(A[1:]) print(answer) ```
output
1
32,292
9
64,585
Provide a correct Python 3 solution for this coding contest problem. You have N apples, called Apple 1, Apple 2, Apple 3, ..., Apple N. The flavor of Apple i is L+i-1, which can be negative. You can make an apple pie using one or more of the apples. The flavor of the apple pie will be the sum of the flavors of the apples used. You planned to make an apple pie using all of the apples, but being hungry tempts you to eat one of them, which can no longer be used to make the apple pie. You want to make an apple pie that is as similar as possible to the one that you planned to make. Thus, you will choose the apple to eat so that the flavor of the apple pie made of the remaining N-1 apples will have the smallest possible absolute difference from the flavor of the apple pie made of all the N apples. Find the flavor of the apple pie made of the remaining N-1 apples when you choose the apple to eat as above. We can prove that this value is uniquely determined. Constraints * 2 \leq N \leq 200 * -100 \leq L \leq 100 * All values in input are integers. Input Input is given from Standard Input in the following format: N L Output Find the flavor of the apple pie made of the remaining N-1 apples when you optimally choose the apple to eat. Examples Input 5 2 Output 18 Input 3 -1 Output 0 Input 30 -50 Output -1044
instruction
0
32,293
9
64,586
"Correct Solution: ``` n,l=map(int,input().split()) a=(l-1)*n+((n+1)*(n))//2 print(a if l<=0<=l+n-1 else (a-l if 0<l else a-l-n+1)) ```
output
1
32,293
9
64,587
Provide a correct Python 3 solution for this coding contest problem. You have N apples, called Apple 1, Apple 2, Apple 3, ..., Apple N. The flavor of Apple i is L+i-1, which can be negative. You can make an apple pie using one or more of the apples. The flavor of the apple pie will be the sum of the flavors of the apples used. You planned to make an apple pie using all of the apples, but being hungry tempts you to eat one of them, which can no longer be used to make the apple pie. You want to make an apple pie that is as similar as possible to the one that you planned to make. Thus, you will choose the apple to eat so that the flavor of the apple pie made of the remaining N-1 apples will have the smallest possible absolute difference from the flavor of the apple pie made of all the N apples. Find the flavor of the apple pie made of the remaining N-1 apples when you choose the apple to eat as above. We can prove that this value is uniquely determined. Constraints * 2 \leq N \leq 200 * -100 \leq L \leq 100 * All values in input are integers. Input Input is given from Standard Input in the following format: N L Output Find the flavor of the apple pie made of the remaining N-1 apples when you optimally choose the apple to eat. Examples Input 5 2 Output 18 Input 3 -1 Output 0 Input 30 -50 Output -1044
instruction
0
32,294
9
64,588
"Correct Solution: ``` N,L=map(int,input().split()) L=[L+i-1 for i in range(1,N+1)] c=sum(L) R=[abs(i) for i in L] print(c-L[R.index(min(R))]) ```
output
1
32,294
9
64,589
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have N apples, called Apple 1, Apple 2, Apple 3, ..., Apple N. The flavor of Apple i is L+i-1, which can be negative. You can make an apple pie using one or more of the apples. The flavor of the apple pie will be the sum of the flavors of the apples used. You planned to make an apple pie using all of the apples, but being hungry tempts you to eat one of them, which can no longer be used to make the apple pie. You want to make an apple pie that is as similar as possible to the one that you planned to make. Thus, you will choose the apple to eat so that the flavor of the apple pie made of the remaining N-1 apples will have the smallest possible absolute difference from the flavor of the apple pie made of all the N apples. Find the flavor of the apple pie made of the remaining N-1 apples when you choose the apple to eat as above. We can prove that this value is uniquely determined. Constraints * 2 \leq N \leq 200 * -100 \leq L \leq 100 * All values in input are integers. Input Input is given from Standard Input in the following format: N L Output Find the flavor of the apple pie made of the remaining N-1 apples when you optimally choose the apple to eat. Examples Input 5 2 Output 18 Input 3 -1 Output 0 Input 30 -50 Output -1044 Submitted Solution: ``` N, L = map(int, input().split()) tastes = [L + i for i in range(N)] print(sum(tastes) - min(tastes, key=abs)) ```
instruction
0
32,295
9
64,590
Yes
output
1
32,295
9
64,591
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have N apples, called Apple 1, Apple 2, Apple 3, ..., Apple N. The flavor of Apple i is L+i-1, which can be negative. You can make an apple pie using one or more of the apples. The flavor of the apple pie will be the sum of the flavors of the apples used. You planned to make an apple pie using all of the apples, but being hungry tempts you to eat one of them, which can no longer be used to make the apple pie. You want to make an apple pie that is as similar as possible to the one that you planned to make. Thus, you will choose the apple to eat so that the flavor of the apple pie made of the remaining N-1 apples will have the smallest possible absolute difference from the flavor of the apple pie made of all the N apples. Find the flavor of the apple pie made of the remaining N-1 apples when you choose the apple to eat as above. We can prove that this value is uniquely determined. Constraints * 2 \leq N \leq 200 * -100 \leq L \leq 100 * All values in input are integers. Input Input is given from Standard Input in the following format: N L Output Find the flavor of the apple pie made of the remaining N-1 apples when you optimally choose the apple to eat. Examples Input 5 2 Output 18 Input 3 -1 Output 0 Input 30 -50 Output -1044 Submitted Solution: ``` a,b=map(int,input().split()) ans=0 list=[i+b-1 for i in range(1,a+1)] list.sort(key=lambda i:abs(i)) ans=sum(list[1:]) print(ans) ```
instruction
0
32,296
9
64,592
Yes
output
1
32,296
9
64,593
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have N apples, called Apple 1, Apple 2, Apple 3, ..., Apple N. The flavor of Apple i is L+i-1, which can be negative. You can make an apple pie using one or more of the apples. The flavor of the apple pie will be the sum of the flavors of the apples used. You planned to make an apple pie using all of the apples, but being hungry tempts you to eat one of them, which can no longer be used to make the apple pie. You want to make an apple pie that is as similar as possible to the one that you planned to make. Thus, you will choose the apple to eat so that the flavor of the apple pie made of the remaining N-1 apples will have the smallest possible absolute difference from the flavor of the apple pie made of all the N apples. Find the flavor of the apple pie made of the remaining N-1 apples when you choose the apple to eat as above. We can prove that this value is uniquely determined. Constraints * 2 \leq N \leq 200 * -100 \leq L \leq 100 * All values in input are integers. Input Input is given from Standard Input in the following format: N L Output Find the flavor of the apple pie made of the remaining N-1 apples when you optimally choose the apple to eat. Examples Input 5 2 Output 18 Input 3 -1 Output 0 Input 30 -50 Output -1044 Submitted Solution: ``` N, L = map(int, input().split()) a = [] for i in range(N): a.append(L + i) print(sum(a) - min(a, key=abs)) ```
instruction
0
32,297
9
64,594
Yes
output
1
32,297
9
64,595
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have N apples, called Apple 1, Apple 2, Apple 3, ..., Apple N. The flavor of Apple i is L+i-1, which can be negative. You can make an apple pie using one or more of the apples. The flavor of the apple pie will be the sum of the flavors of the apples used. You planned to make an apple pie using all of the apples, but being hungry tempts you to eat one of them, which can no longer be used to make the apple pie. You want to make an apple pie that is as similar as possible to the one that you planned to make. Thus, you will choose the apple to eat so that the flavor of the apple pie made of the remaining N-1 apples will have the smallest possible absolute difference from the flavor of the apple pie made of all the N apples. Find the flavor of the apple pie made of the remaining N-1 apples when you choose the apple to eat as above. We can prove that this value is uniquely determined. Constraints * 2 \leq N \leq 200 * -100 \leq L \leq 100 * All values in input are integers. Input Input is given from Standard Input in the following format: N L Output Find the flavor of the apple pie made of the remaining N-1 apples when you optimally choose the apple to eat. Examples Input 5 2 Output 18 Input 3 -1 Output 0 Input 30 -50 Output -1044 Submitted Solution: ``` n, l = map(int, input().split()) x = [l+i for i in range(n)] x = sorted(x, key=lambda x: abs(x)) print(sum(x[1:])) ```
instruction
0
32,298
9
64,596
Yes
output
1
32,298
9
64,597
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have N apples, called Apple 1, Apple 2, Apple 3, ..., Apple N. The flavor of Apple i is L+i-1, which can be negative. You can make an apple pie using one or more of the apples. The flavor of the apple pie will be the sum of the flavors of the apples used. You planned to make an apple pie using all of the apples, but being hungry tempts you to eat one of them, which can no longer be used to make the apple pie. You want to make an apple pie that is as similar as possible to the one that you planned to make. Thus, you will choose the apple to eat so that the flavor of the apple pie made of the remaining N-1 apples will have the smallest possible absolute difference from the flavor of the apple pie made of all the N apples. Find the flavor of the apple pie made of the remaining N-1 apples when you choose the apple to eat as above. We can prove that this value is uniquely determined. Constraints * 2 \leq N \leq 200 * -100 \leq L \leq 100 * All values in input are integers. Input Input is given from Standard Input in the following format: N L Output Find the flavor of the apple pie made of the remaining N-1 apples when you optimally choose the apple to eat. Examples Input 5 2 Output 18 Input 3 -1 Output 0 Input 30 -50 Output -1044 Submitted Solution: ``` n, l = map(int, input().split()) if l < 0 and n+l < 0: kei = sum(list(x for x in range(l,l+n-1))) if l < 0 and n+l >= 0: kei = sum(list(x for x in range(l,l+n))) if l >= 0: kei = sum(list(x for x in range(l+1,l+n))) print(kei) ```
instruction
0
32,299
9
64,598
No
output
1
32,299
9
64,599
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have N apples, called Apple 1, Apple 2, Apple 3, ..., Apple N. The flavor of Apple i is L+i-1, which can be negative. You can make an apple pie using one or more of the apples. The flavor of the apple pie will be the sum of the flavors of the apples used. You planned to make an apple pie using all of the apples, but being hungry tempts you to eat one of them, which can no longer be used to make the apple pie. You want to make an apple pie that is as similar as possible to the one that you planned to make. Thus, you will choose the apple to eat so that the flavor of the apple pie made of the remaining N-1 apples will have the smallest possible absolute difference from the flavor of the apple pie made of all the N apples. Find the flavor of the apple pie made of the remaining N-1 apples when you choose the apple to eat as above. We can prove that this value is uniquely determined. Constraints * 2 \leq N \leq 200 * -100 \leq L \leq 100 * All values in input are integers. Input Input is given from Standard Input in the following format: N L Output Find the flavor of the apple pie made of the remaining N-1 apples when you optimally choose the apple to eat. Examples Input 5 2 Output 18 Input 3 -1 Output 0 Input 30 -50 Output -1044 Submitted Solution: ``` n, l = map(int, input().split()) if l < 0: if l+n >= 1: print(sum(list(range(l,l+n)))) else: print(sum(list(range(l,l+n-1)))) if l >= 0: print(sum(list(range(l,n+2)))-l) ```
instruction
0
32,300
9
64,600
No
output
1
32,300
9
64,601
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have N apples, called Apple 1, Apple 2, Apple 3, ..., Apple N. The flavor of Apple i is L+i-1, which can be negative. You can make an apple pie using one or more of the apples. The flavor of the apple pie will be the sum of the flavors of the apples used. You planned to make an apple pie using all of the apples, but being hungry tempts you to eat one of them, which can no longer be used to make the apple pie. You want to make an apple pie that is as similar as possible to the one that you planned to make. Thus, you will choose the apple to eat so that the flavor of the apple pie made of the remaining N-1 apples will have the smallest possible absolute difference from the flavor of the apple pie made of all the N apples. Find the flavor of the apple pie made of the remaining N-1 apples when you choose the apple to eat as above. We can prove that this value is uniquely determined. Constraints * 2 \leq N \leq 200 * -100 \leq L \leq 100 * All values in input are integers. Input Input is given from Standard Input in the following format: N L Output Find the flavor of the apple pie made of the remaining N-1 apples when you optimally choose the apple to eat. Examples Input 5 2 Output 18 Input 3 -1 Output 0 Input 30 -50 Output -1044 Submitted Solution: ``` N,L = map(int,input().split()) sum = 0 for i in range(N): sum += (L + i) if L > 1: sum = sum - L elif (N + L -1) < 0: sum = sum - (L + N -1) else: sum = sum print(sum) ```
instruction
0
32,301
9
64,602
No
output
1
32,301
9
64,603
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have N apples, called Apple 1, Apple 2, Apple 3, ..., Apple N. The flavor of Apple i is L+i-1, which can be negative. You can make an apple pie using one or more of the apples. The flavor of the apple pie will be the sum of the flavors of the apples used. You planned to make an apple pie using all of the apples, but being hungry tempts you to eat one of them, which can no longer be used to make the apple pie. You want to make an apple pie that is as similar as possible to the one that you planned to make. Thus, you will choose the apple to eat so that the flavor of the apple pie made of the remaining N-1 apples will have the smallest possible absolute difference from the flavor of the apple pie made of all the N apples. Find the flavor of the apple pie made of the remaining N-1 apples when you choose the apple to eat as above. We can prove that this value is uniquely determined. Constraints * 2 \leq N \leq 200 * -100 \leq L \leq 100 * All values in input are integers. Input Input is given from Standard Input in the following format: N L Output Find the flavor of the apple pie made of the remaining N-1 apples when you optimally choose the apple to eat. Examples Input 5 2 Output 18 Input 3 -1 Output 0 Input 30 -50 Output -1044 Submitted Solution: ``` a = list(map(int,input().split())) N = a[0] L = a[1] taste = 0 def if_test(N,L): if L > 0: for i in range(N): taste = taste + L + i taste = taste - L print(taste) elif L+N-1 < 0: for i in range(N): taste = taste + L + i taste = taste - (L + N - 1) print(taste) else: for i in range(N): taste = taste + L + i print(taste) if_test(L,N) ```
instruction
0
32,302
9
64,604
No
output
1
32,302
9
64,605
Provide tags and a correct Python 3 solution for this coding contest problem. This winter is so cold in Nvodsk! A group of n friends decided to buy k bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has l milliliters of the drink. Also they bought c limes and cut each of them into d slices. After that they found p grams of salt. To make a toast, each friend needs nl milliliters of the drink, a slice of lime and np grams of salt. The friends want to make as many toasts as they can, provided they all drink the same amount. How many toasts can each friend make? Input The first and only line contains positive integers n, k, l, c, d, p, nl, np, not exceeding 1000 and no less than 1. The numbers are separated by exactly one space. Output Print a single integer — the number of toasts each friend can make. Examples Input 3 4 5 10 8 100 3 1 Output 2 Input 5 100 10 1 19 90 4 3 Output 3 Input 10 1000 1000 25 23 1 50 1 Output 0 Note A comment to the first sample: Overall the friends have 4 * 5 = 20 milliliters of the drink, it is enough to make 20 / 3 = 6 toasts. The limes are enough for 10 * 8 = 80 toasts and the salt is enough for 100 / 1 = 100 toasts. However, there are 3 friends in the group, so the answer is min(6, 80, 100) / 3 = 2.
instruction
0
32,755
9
65,510
Tags: implementation, math Correct Solution: ``` n, k, l, c, d, p, nl, np = list(map(int, input().split(' '))) totml = k*l totslice = c*d x = totml//nl y = p//np z = min(x,y,totslice) print(z//n) ```
output
1
32,755
9
65,511
Provide tags and a correct Python 3 solution for this coding contest problem. This winter is so cold in Nvodsk! A group of n friends decided to buy k bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has l milliliters of the drink. Also they bought c limes and cut each of them into d slices. After that they found p grams of salt. To make a toast, each friend needs nl milliliters of the drink, a slice of lime and np grams of salt. The friends want to make as many toasts as they can, provided they all drink the same amount. How many toasts can each friend make? Input The first and only line contains positive integers n, k, l, c, d, p, nl, np, not exceeding 1000 and no less than 1. The numbers are separated by exactly one space. Output Print a single integer — the number of toasts each friend can make. Examples Input 3 4 5 10 8 100 3 1 Output 2 Input 5 100 10 1 19 90 4 3 Output 3 Input 10 1000 1000 25 23 1 50 1 Output 0 Note A comment to the first sample: Overall the friends have 4 * 5 = 20 milliliters of the drink, it is enough to make 20 / 3 = 6 toasts. The limes are enough for 10 * 8 = 80 toasts and the salt is enough for 100 / 1 = 100 toasts. However, there are 3 friends in the group, so the answer is min(6, 80, 100) / 3 = 2.
instruction
0
32,756
9
65,512
Tags: implementation, math Correct Solution: ``` n, k, l, c, d, p, nl, np = map(int,input().split()) a = (k*l)//(nl*n) b = (c*d)//(n) c = (p) // (np*n) print(min(a,b,c)) ```
output
1
32,756
9
65,513
Provide tags and a correct Python 3 solution for this coding contest problem. This winter is so cold in Nvodsk! A group of n friends decided to buy k bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has l milliliters of the drink. Also they bought c limes and cut each of them into d slices. After that they found p grams of salt. To make a toast, each friend needs nl milliliters of the drink, a slice of lime and np grams of salt. The friends want to make as many toasts as they can, provided they all drink the same amount. How many toasts can each friend make? Input The first and only line contains positive integers n, k, l, c, d, p, nl, np, not exceeding 1000 and no less than 1. The numbers are separated by exactly one space. Output Print a single integer — the number of toasts each friend can make. Examples Input 3 4 5 10 8 100 3 1 Output 2 Input 5 100 10 1 19 90 4 3 Output 3 Input 10 1000 1000 25 23 1 50 1 Output 0 Note A comment to the first sample: Overall the friends have 4 * 5 = 20 milliliters of the drink, it is enough to make 20 / 3 = 6 toasts. The limes are enough for 10 * 8 = 80 toasts and the salt is enough for 100 / 1 = 100 toasts. However, there are 3 friends in the group, so the answer is min(6, 80, 100) / 3 = 2.
instruction
0
32,757
9
65,514
Tags: implementation, math Correct Solution: ``` arr=list(map(int, input().split())) n=arr[0] k=arr[1] l=arr[2] c=arr[3] d=arr[4] p=arr[5] nl=arr[6] np=arr[7] drink=(k*l)//nl slices=c*d salt=p//np print(min(drink, slices, salt)//n) ```
output
1
32,757
9
65,515
Provide tags and a correct Python 3 solution for this coding contest problem. This winter is so cold in Nvodsk! A group of n friends decided to buy k bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has l milliliters of the drink. Also they bought c limes and cut each of them into d slices. After that they found p grams of salt. To make a toast, each friend needs nl milliliters of the drink, a slice of lime and np grams of salt. The friends want to make as many toasts as they can, provided they all drink the same amount. How many toasts can each friend make? Input The first and only line contains positive integers n, k, l, c, d, p, nl, np, not exceeding 1000 and no less than 1. The numbers are separated by exactly one space. Output Print a single integer — the number of toasts each friend can make. Examples Input 3 4 5 10 8 100 3 1 Output 2 Input 5 100 10 1 19 90 4 3 Output 3 Input 10 1000 1000 25 23 1 50 1 Output 0 Note A comment to the first sample: Overall the friends have 4 * 5 = 20 milliliters of the drink, it is enough to make 20 / 3 = 6 toasts. The limes are enough for 10 * 8 = 80 toasts and the salt is enough for 100 / 1 = 100 toasts. However, there are 3 friends in the group, so the answer is min(6, 80, 100) / 3 = 2.
instruction
0
32,758
9
65,516
Tags: implementation, math Correct Solution: ``` n,k,l,c,d,p,nl,np=map(int,input().split()) a,b,q=k*l//nl,c*d,p//np print(min(a,b,q)//n) ```
output
1
32,758
9
65,517
Provide tags and a correct Python 3 solution for this coding contest problem. This winter is so cold in Nvodsk! A group of n friends decided to buy k bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has l milliliters of the drink. Also they bought c limes and cut each of them into d slices. After that they found p grams of salt. To make a toast, each friend needs nl milliliters of the drink, a slice of lime and np grams of salt. The friends want to make as many toasts as they can, provided they all drink the same amount. How many toasts can each friend make? Input The first and only line contains positive integers n, k, l, c, d, p, nl, np, not exceeding 1000 and no less than 1. The numbers are separated by exactly one space. Output Print a single integer — the number of toasts each friend can make. Examples Input 3 4 5 10 8 100 3 1 Output 2 Input 5 100 10 1 19 90 4 3 Output 3 Input 10 1000 1000 25 23 1 50 1 Output 0 Note A comment to the first sample: Overall the friends have 4 * 5 = 20 milliliters of the drink, it is enough to make 20 / 3 = 6 toasts. The limes are enough for 10 * 8 = 80 toasts and the salt is enough for 100 / 1 = 100 toasts. However, there are 3 friends in the group, so the answer is min(6, 80, 100) / 3 = 2.
instruction
0
32,759
9
65,518
Tags: implementation, math Correct Solution: ``` #!/usr/bin/python3 def readln(): return tuple(map(int, input().split())) n, k, l, c, d, p, nl, np = readln() cnt_l = k * l // nl cnt_d = c * d cnt_p = p // np print(min([cnt_l // n, cnt_d // n, cnt_p // n])) ```
output
1
32,759
9
65,519
Provide tags and a correct Python 3 solution for this coding contest problem. This winter is so cold in Nvodsk! A group of n friends decided to buy k bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has l milliliters of the drink. Also they bought c limes and cut each of them into d slices. After that they found p grams of salt. To make a toast, each friend needs nl milliliters of the drink, a slice of lime and np grams of salt. The friends want to make as many toasts as they can, provided they all drink the same amount. How many toasts can each friend make? Input The first and only line contains positive integers n, k, l, c, d, p, nl, np, not exceeding 1000 and no less than 1. The numbers are separated by exactly one space. Output Print a single integer — the number of toasts each friend can make. Examples Input 3 4 5 10 8 100 3 1 Output 2 Input 5 100 10 1 19 90 4 3 Output 3 Input 10 1000 1000 25 23 1 50 1 Output 0 Note A comment to the first sample: Overall the friends have 4 * 5 = 20 milliliters of the drink, it is enough to make 20 / 3 = 6 toasts. The limes are enough for 10 * 8 = 80 toasts and the salt is enough for 100 / 1 = 100 toasts. However, there are 3 friends in the group, so the answer is min(6, 80, 100) / 3 = 2.
instruction
0
32,760
9
65,520
Tags: implementation, math Correct Solution: ``` n,k,l,c,d,p,nl,np=map(int,input().split()) v=(k*l)//nl b=(c*d) m=p//np print(min(v,b,m)//n) ```
output
1
32,760
9
65,521
Provide tags and a correct Python 3 solution for this coding contest problem. This winter is so cold in Nvodsk! A group of n friends decided to buy k bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has l milliliters of the drink. Also they bought c limes and cut each of them into d slices. After that they found p grams of salt. To make a toast, each friend needs nl milliliters of the drink, a slice of lime and np grams of salt. The friends want to make as many toasts as they can, provided they all drink the same amount. How many toasts can each friend make? Input The first and only line contains positive integers n, k, l, c, d, p, nl, np, not exceeding 1000 and no less than 1. The numbers are separated by exactly one space. Output Print a single integer — the number of toasts each friend can make. Examples Input 3 4 5 10 8 100 3 1 Output 2 Input 5 100 10 1 19 90 4 3 Output 3 Input 10 1000 1000 25 23 1 50 1 Output 0 Note A comment to the first sample: Overall the friends have 4 * 5 = 20 milliliters of the drink, it is enough to make 20 / 3 = 6 toasts. The limes are enough for 10 * 8 = 80 toasts and the salt is enough for 100 / 1 = 100 toasts. However, there are 3 friends in the group, so the answer is min(6, 80, 100) / 3 = 2.
instruction
0
32,761
9
65,522
Tags: implementation, math Correct Solution: ``` n, k, l, c, d, p, nl, np = list(map(int, input().split())) print(min(k * l // nl, c * d, p // np) // n) ```
output
1
32,761
9
65,523
Provide tags and a correct Python 3 solution for this coding contest problem. This winter is so cold in Nvodsk! A group of n friends decided to buy k bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has l milliliters of the drink. Also they bought c limes and cut each of them into d slices. After that they found p grams of salt. To make a toast, each friend needs nl milliliters of the drink, a slice of lime and np grams of salt. The friends want to make as many toasts as they can, provided they all drink the same amount. How many toasts can each friend make? Input The first and only line contains positive integers n, k, l, c, d, p, nl, np, not exceeding 1000 and no less than 1. The numbers are separated by exactly one space. Output Print a single integer — the number of toasts each friend can make. Examples Input 3 4 5 10 8 100 3 1 Output 2 Input 5 100 10 1 19 90 4 3 Output 3 Input 10 1000 1000 25 23 1 50 1 Output 0 Note A comment to the first sample: Overall the friends have 4 * 5 = 20 milliliters of the drink, it is enough to make 20 / 3 = 6 toasts. The limes are enough for 10 * 8 = 80 toasts and the salt is enough for 100 / 1 = 100 toasts. However, there are 3 friends in the group, so the answer is min(6, 80, 100) / 3 = 2.
instruction
0
32,762
9
65,524
Tags: implementation, math Correct Solution: ``` def answer(): a = input().split() a = [int(x) for x in a] n,k,l,c,d,p,nl,np=a[0],a[1],a[2],a[3],a[4],a[5],a[6],a[7] volume =k*l slices=c*d salt=p vols=int(volume/(nl*n)) slik=int(slices/n) slt=int(salt/(np*n)) return min(vols,slik,slt) print(answer()) ```
output
1
32,762
9
65,525
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This winter is so cold in Nvodsk! A group of n friends decided to buy k bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has l milliliters of the drink. Also they bought c limes and cut each of them into d slices. After that they found p grams of salt. To make a toast, each friend needs nl milliliters of the drink, a slice of lime and np grams of salt. The friends want to make as many toasts as they can, provided they all drink the same amount. How many toasts can each friend make? Input The first and only line contains positive integers n, k, l, c, d, p, nl, np, not exceeding 1000 and no less than 1. The numbers are separated by exactly one space. Output Print a single integer — the number of toasts each friend can make. Examples Input 3 4 5 10 8 100 3 1 Output 2 Input 5 100 10 1 19 90 4 3 Output 3 Input 10 1000 1000 25 23 1 50 1 Output 0 Note A comment to the first sample: Overall the friends have 4 * 5 = 20 milliliters of the drink, it is enough to make 20 / 3 = 6 toasts. The limes are enough for 10 * 8 = 80 toasts and the salt is enough for 100 / 1 = 100 toasts. However, there are 3 friends in the group, so the answer is min(6, 80, 100) / 3 = 2. Submitted Solution: ``` a = input().split(" ") a[0] = int(a[0]) a[1] = int(a[1]) a[2] = int(a[2]) a[3] = int(a[3]) a[4] = int(a[4]) a[5] = int(a[5]) a[6] = int(a[6]) a[7] = int(a[7]) b = a[1] * a[2] // a[6] c = a[3] * a[4] d = a[5] // a[7] l = min(b , c , d) print(l // a[0]) ```
instruction
0
32,763
9
65,526
Yes
output
1
32,763
9
65,527
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This winter is so cold in Nvodsk! A group of n friends decided to buy k bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has l milliliters of the drink. Also they bought c limes and cut each of them into d slices. After that they found p grams of salt. To make a toast, each friend needs nl milliliters of the drink, a slice of lime and np grams of salt. The friends want to make as many toasts as they can, provided they all drink the same amount. How many toasts can each friend make? Input The first and only line contains positive integers n, k, l, c, d, p, nl, np, not exceeding 1000 and no less than 1. The numbers are separated by exactly one space. Output Print a single integer — the number of toasts each friend can make. Examples Input 3 4 5 10 8 100 3 1 Output 2 Input 5 100 10 1 19 90 4 3 Output 3 Input 10 1000 1000 25 23 1 50 1 Output 0 Note A comment to the first sample: Overall the friends have 4 * 5 = 20 milliliters of the drink, it is enough to make 20 / 3 = 6 toasts. The limes are enough for 10 * 8 = 80 toasts and the salt is enough for 100 / 1 = 100 toasts. However, there are 3 friends in the group, so the answer is min(6, 80, 100) / 3 = 2. Submitted Solution: ``` q=input() n,k,l,c,d,p,nl,np=map(int,q.split()) l=(k*l) c=(c*d) print((min(l//nl,c,p//np))//n) ```
instruction
0
32,764
9
65,528
Yes
output
1
32,764
9
65,529
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This winter is so cold in Nvodsk! A group of n friends decided to buy k bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has l milliliters of the drink. Also they bought c limes and cut each of them into d slices. After that they found p grams of salt. To make a toast, each friend needs nl milliliters of the drink, a slice of lime and np grams of salt. The friends want to make as many toasts as they can, provided they all drink the same amount. How many toasts can each friend make? Input The first and only line contains positive integers n, k, l, c, d, p, nl, np, not exceeding 1000 and no less than 1. The numbers are separated by exactly one space. Output Print a single integer — the number of toasts each friend can make. Examples Input 3 4 5 10 8 100 3 1 Output 2 Input 5 100 10 1 19 90 4 3 Output 3 Input 10 1000 1000 25 23 1 50 1 Output 0 Note A comment to the first sample: Overall the friends have 4 * 5 = 20 milliliters of the drink, it is enough to make 20 / 3 = 6 toasts. The limes are enough for 10 * 8 = 80 toasts and the salt is enough for 100 / 1 = 100 toasts. However, there are 3 friends in the group, so the answer is min(6, 80, 100) / 3 = 2. Submitted Solution: ``` if __name__=='__main__': n,k,l,c,d,p,nl,np=map(int, input().split()) drink=k*l x=min(drink/nl,d*c,p/np) print(int(x//n)) ```
instruction
0
32,765
9
65,530
Yes
output
1
32,765
9
65,531
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This winter is so cold in Nvodsk! A group of n friends decided to buy k bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has l milliliters of the drink. Also they bought c limes and cut each of them into d slices. After that they found p grams of salt. To make a toast, each friend needs nl milliliters of the drink, a slice of lime and np grams of salt. The friends want to make as many toasts as they can, provided they all drink the same amount. How many toasts can each friend make? Input The first and only line contains positive integers n, k, l, c, d, p, nl, np, not exceeding 1000 and no less than 1. The numbers are separated by exactly one space. Output Print a single integer — the number of toasts each friend can make. Examples Input 3 4 5 10 8 100 3 1 Output 2 Input 5 100 10 1 19 90 4 3 Output 3 Input 10 1000 1000 25 23 1 50 1 Output 0 Note A comment to the first sample: Overall the friends have 4 * 5 = 20 milliliters of the drink, it is enough to make 20 / 3 = 6 toasts. The limes are enough for 10 * 8 = 80 toasts and the salt is enough for 100 / 1 = 100 toasts. However, there are 3 friends in the group, so the answer is min(6, 80, 100) / 3 = 2. Submitted Solution: ``` n,k,l,c,d,p,nl,np=[int(i) for i in input().split()] a=0 mili=(k*l)//(n*nl) limon=(c*d)//n namak=p//np//n print(min(mili,namak,limon)) ```
instruction
0
32,766
9
65,532
Yes
output
1
32,766
9
65,533
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This winter is so cold in Nvodsk! A group of n friends decided to buy k bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has l milliliters of the drink. Also they bought c limes and cut each of them into d slices. After that they found p grams of salt. To make a toast, each friend needs nl milliliters of the drink, a slice of lime and np grams of salt. The friends want to make as many toasts as they can, provided they all drink the same amount. How many toasts can each friend make? Input The first and only line contains positive integers n, k, l, c, d, p, nl, np, not exceeding 1000 and no less than 1. The numbers are separated by exactly one space. Output Print a single integer — the number of toasts each friend can make. Examples Input 3 4 5 10 8 100 3 1 Output 2 Input 5 100 10 1 19 90 4 3 Output 3 Input 10 1000 1000 25 23 1 50 1 Output 0 Note A comment to the first sample: Overall the friends have 4 * 5 = 20 milliliters of the drink, it is enough to make 20 / 3 = 6 toasts. The limes are enough for 10 * 8 = 80 toasts and the salt is enough for 100 / 1 = 100 toasts. However, there are 3 friends in the group, so the answer is min(6, 80, 100) / 3 = 2. Submitted Solution: ``` n,k,l,c,d,p,nl,np=[int(x) for x in input().split()] jt=(k*l)//nl lt=c*d st=p//np if (jt>=n) and (lt>=n) and (st>=n): print(min(jt,lt,st)) else: print(0) ```
instruction
0
32,767
9
65,534
No
output
1
32,767
9
65,535
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This winter is so cold in Nvodsk! A group of n friends decided to buy k bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has l milliliters of the drink. Also they bought c limes and cut each of them into d slices. After that they found p grams of salt. To make a toast, each friend needs nl milliliters of the drink, a slice of lime and np grams of salt. The friends want to make as many toasts as they can, provided they all drink the same amount. How many toasts can each friend make? Input The first and only line contains positive integers n, k, l, c, d, p, nl, np, not exceeding 1000 and no less than 1. The numbers are separated by exactly one space. Output Print a single integer — the number of toasts each friend can make. Examples Input 3 4 5 10 8 100 3 1 Output 2 Input 5 100 10 1 19 90 4 3 Output 3 Input 10 1000 1000 25 23 1 50 1 Output 0 Note A comment to the first sample: Overall the friends have 4 * 5 = 20 milliliters of the drink, it is enough to make 20 / 3 = 6 toasts. The limes are enough for 10 * 8 = 80 toasts and the salt is enough for 100 / 1 = 100 toasts. However, there are 3 friends in the group, so the answer is min(6, 80, 100) / 3 = 2. Submitted Solution: ``` a=list(map(int,input().split())) print(min(((a[2]*a[1])//a[-2]),(a[3]*a[4]),(a[-3]//a[-1])//a[0])) ```
instruction
0
32,768
9
65,536
No
output
1
32,768
9
65,537
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This winter is so cold in Nvodsk! A group of n friends decided to buy k bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has l milliliters of the drink. Also they bought c limes and cut each of them into d slices. After that they found p grams of salt. To make a toast, each friend needs nl milliliters of the drink, a slice of lime and np grams of salt. The friends want to make as many toasts as they can, provided they all drink the same amount. How many toasts can each friend make? Input The first and only line contains positive integers n, k, l, c, d, p, nl, np, not exceeding 1000 and no less than 1. The numbers are separated by exactly one space. Output Print a single integer — the number of toasts each friend can make. Examples Input 3 4 5 10 8 100 3 1 Output 2 Input 5 100 10 1 19 90 4 3 Output 3 Input 10 1000 1000 25 23 1 50 1 Output 0 Note A comment to the first sample: Overall the friends have 4 * 5 = 20 milliliters of the drink, it is enough to make 20 / 3 = 6 toasts. The limes are enough for 10 * 8 = 80 toasts and the salt is enough for 100 / 1 = 100 toasts. However, there are 3 friends in the group, so the answer is min(6, 80, 100) / 3 = 2. Submitted Solution: ``` S = input().split() N = int(S[0]) K = int(S[1]) L = int(S[2]) C = int(S[3]) D = int(S[4]) P = int(S[5]) Nl = int(S[6]) Np = int(S[7]) M = (N*K*L)//Nl A = (N*C*D) I = [] I.append(M) I.append(A) I.append(P//Np) print(min(I)//10) ```
instruction
0
32,769
9
65,538
No
output
1
32,769
9
65,539
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This winter is so cold in Nvodsk! A group of n friends decided to buy k bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has l milliliters of the drink. Also they bought c limes and cut each of them into d slices. After that they found p grams of salt. To make a toast, each friend needs nl milliliters of the drink, a slice of lime and np grams of salt. The friends want to make as many toasts as they can, provided they all drink the same amount. How many toasts can each friend make? Input The first and only line contains positive integers n, k, l, c, d, p, nl, np, not exceeding 1000 and no less than 1. The numbers are separated by exactly one space. Output Print a single integer — the number of toasts each friend can make. Examples Input 3 4 5 10 8 100 3 1 Output 2 Input 5 100 10 1 19 90 4 3 Output 3 Input 10 1000 1000 25 23 1 50 1 Output 0 Note A comment to the first sample: Overall the friends have 4 * 5 = 20 milliliters of the drink, it is enough to make 20 / 3 = 6 toasts. The limes are enough for 10 * 8 = 80 toasts and the salt is enough for 100 / 1 = 100 toasts. However, there are 3 friends in the group, so the answer is min(6, 80, 100) / 3 = 2. Submitted Solution: ``` n, k, l, c, d, p, nl, np = map(int, input().split()) total_toast = min( (k*l)/nl, (c*d), np/p ) print(int(total_toast/n)) ```
instruction
0
32,770
9
65,540
No
output
1
32,770
9
65,541
Provide tags and a correct Python 3 solution for this coding contest problem. Karafs is some kind of vegetable in shape of an 1 × h rectangle. Tavaspolis people love Karafs and they use Karafs in almost any kind of food. Tavas, himself, is crazy about Karafs. <image> Each Karafs has a positive integer height. Tavas has an infinite 1-based sequence of Karafses. The height of the i-th Karafs is si = A + (i - 1) × B. For a given m, let's define an m-bite operation as decreasing the height of at most m distinct not eaten Karafses by 1. Karafs is considered as eaten when its height becomes zero. Now SaDDas asks you n queries. In each query he gives you numbers l, t and m and you should find the largest number r such that l ≤ r and sequence sl, sl + 1, ..., sr can be eaten by performing m-bite no more than t times or print -1 if there is no such number r. Input The first line of input contains three integers A, B and n (1 ≤ A, B ≤ 106, 1 ≤ n ≤ 105). Next n lines contain information about queries. i-th line contains integers l, t, m (1 ≤ l, t, m ≤ 106) for i-th query. Output For each query, print its answer in a single line. Examples Input 2 1 4 1 5 3 3 3 10 7 10 2 6 4 8 Output 4 -1 8 -1 Input 1 5 2 1 5 10 2 7 4 Output 1 2
instruction
0
33,786
9
67,572
Tags: binary search, greedy, math Correct Solution: ``` import math a, b, n = [int(x) for x in input().split()] for i in range(n): l, t, m = [int(x) for x in input().split()] x = a + (l - 1) * b if x > t: print("-1") continue r = (t - a) // b + 1 D = (2 * x - b) ** 2 + 8 * m * t * b d = int(math.floor((-2 * x + b + math.sqrt(D)) / (2 * b))) r = min(r, l + d - 1) # total = t * m # last = a + (r - 1) * b # total_need = (x + last) * (r - l + 1) // 2 # while total_need > total: # total_need -= last # last -= b # r -= 1 print(r) ```
output
1
33,786
9
67,573
Provide tags and a correct Python 3 solution for this coding contest problem. Karafs is some kind of vegetable in shape of an 1 × h rectangle. Tavaspolis people love Karafs and they use Karafs in almost any kind of food. Tavas, himself, is crazy about Karafs. <image> Each Karafs has a positive integer height. Tavas has an infinite 1-based sequence of Karafses. The height of the i-th Karafs is si = A + (i - 1) × B. For a given m, let's define an m-bite operation as decreasing the height of at most m distinct not eaten Karafses by 1. Karafs is considered as eaten when its height becomes zero. Now SaDDas asks you n queries. In each query he gives you numbers l, t and m and you should find the largest number r such that l ≤ r and sequence sl, sl + 1, ..., sr can be eaten by performing m-bite no more than t times or print -1 if there is no such number r. Input The first line of input contains three integers A, B and n (1 ≤ A, B ≤ 106, 1 ≤ n ≤ 105). Next n lines contain information about queries. i-th line contains integers l, t, m (1 ≤ l, t, m ≤ 106) for i-th query. Output For each query, print its answer in a single line. Examples Input 2 1 4 1 5 3 3 3 10 7 10 2 6 4 8 Output 4 -1 8 -1 Input 1 5 2 1 5 10 2 7 4 Output 1 2
instruction
0
33,787
9
67,574
Tags: binary search, greedy, math Correct Solution: ``` from collections import defaultdict,deque,Counter import sys import bisect import math input=sys.stdin.readline mod=1000000007 a,b,n=map(int,input().split()) for ii in range(n): l,t,m=map(int,input().split()) lo=l hi=100000000 while lo<hi: mid=(lo+hi)//2 count=(mid-l)+1 first=a+(l-1)*b last=a+(mid-1)*b #print('aaaaa',first,last,(count*(first+last))/2) if last<=t and (count*(first+last))//2<=m*t: lo=mid+1 else: hi=mid if mid!=lo: print(mid) else: count=(mid-1-l)+1 first=a+(l-1)*b last=a+(mid-1-1)*b if last<=t and (count*(first+last))//2<=m*t and mid-1>=l: print(mid-1) else: print(-1) ```
output
1
33,787
9
67,575
Provide tags and a correct Python 3 solution for this coding contest problem. Karafs is some kind of vegetable in shape of an 1 × h rectangle. Tavaspolis people love Karafs and they use Karafs in almost any kind of food. Tavas, himself, is crazy about Karafs. <image> Each Karafs has a positive integer height. Tavas has an infinite 1-based sequence of Karafses. The height of the i-th Karafs is si = A + (i - 1) × B. For a given m, let's define an m-bite operation as decreasing the height of at most m distinct not eaten Karafses by 1. Karafs is considered as eaten when its height becomes zero. Now SaDDas asks you n queries. In each query he gives you numbers l, t and m and you should find the largest number r such that l ≤ r and sequence sl, sl + 1, ..., sr can be eaten by performing m-bite no more than t times or print -1 if there is no such number r. Input The first line of input contains three integers A, B and n (1 ≤ A, B ≤ 106, 1 ≤ n ≤ 105). Next n lines contain information about queries. i-th line contains integers l, t, m (1 ≤ l, t, m ≤ 106) for i-th query. Output For each query, print its answer in a single line. Examples Input 2 1 4 1 5 3 3 3 10 7 10 2 6 4 8 Output 4 -1 8 -1 Input 1 5 2 1 5 10 2 7 4 Output 1 2
instruction
0
33,788
9
67,576
Tags: binary search, greedy, math Correct Solution: ``` A, B, n = map(int, input().split()) def s(i): return A + i * B def f(r): return r * A + r * (r - 1) // 2 * B for i in range(n): l, t, m = map(int, input().split()) ans = -1 if s(l - 1) <= t: L, R = l, 10 ** 6 + 1 while L + 1 < R: M = (L + R) // 2 if f(M) - f(l - 1) <= t * m and s(M - 1) <= t: L = M else: R = M ans = L print(ans) ```
output
1
33,788
9
67,577
Provide tags and a correct Python 3 solution for this coding contest problem. Karafs is some kind of vegetable in shape of an 1 × h rectangle. Tavaspolis people love Karafs and they use Karafs in almost any kind of food. Tavas, himself, is crazy about Karafs. <image> Each Karafs has a positive integer height. Tavas has an infinite 1-based sequence of Karafses. The height of the i-th Karafs is si = A + (i - 1) × B. For a given m, let's define an m-bite operation as decreasing the height of at most m distinct not eaten Karafses by 1. Karafs is considered as eaten when its height becomes zero. Now SaDDas asks you n queries. In each query he gives you numbers l, t and m and you should find the largest number r such that l ≤ r and sequence sl, sl + 1, ..., sr can be eaten by performing m-bite no more than t times or print -1 if there is no such number r. Input The first line of input contains three integers A, B and n (1 ≤ A, B ≤ 106, 1 ≤ n ≤ 105). Next n lines contain information about queries. i-th line contains integers l, t, m (1 ≤ l, t, m ≤ 106) for i-th query. Output For each query, print its answer in a single line. Examples Input 2 1 4 1 5 3 3 3 10 7 10 2 6 4 8 Output 4 -1 8 -1 Input 1 5 2 1 5 10 2 7 4 Output 1 2
instruction
0
33,789
9
67,578
Tags: binary search, greedy, math Correct Solution: ``` #------------------------template--------------------------# import os import sys from math import * from collections import * # from fractions import * # from heapq import* from bisect import * from io import BytesIO, IOBase def vsInput(): sys.stdin = open('input.txt', 'r') sys.stdout = open('output.txt', 'w') BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") ALPHA='abcdefghijklmnopqrstuvwxyz/' M=998244353 EPS=1e-6 def Ceil(a,b): return a//b+int(a%b>0) def value():return tuple(map(int,input().split())) def array():return [int(i) for i in input().split()] def Int():return int(input()) def Str():return input() def arrayS():return [i for i in input().split()] #-------------------------code---------------------------# # vsInput() def possible(r): n=r-l+1 s=n*a+ n*(n-1)*B//2 # print(m,s,n,a) return s<=m*t and a+B*(n-1)<=t A,B,n=value() for _ in range(n): l,t,m=value() a=A+(l-1)*B low=l high=10**10 ans=-1 while(low<=high): mid=low+(high-low)//2 # print(low,mid,high) if(possible(mid)): ans=mid low=mid+1 else: high=mid-1 print(ans) ```
output
1
33,789
9
67,579
Provide tags and a correct Python 3 solution for this coding contest problem. Karafs is some kind of vegetable in shape of an 1 × h rectangle. Tavaspolis people love Karafs and they use Karafs in almost any kind of food. Tavas, himself, is crazy about Karafs. <image> Each Karafs has a positive integer height. Tavas has an infinite 1-based sequence of Karafses. The height of the i-th Karafs is si = A + (i - 1) × B. For a given m, let's define an m-bite operation as decreasing the height of at most m distinct not eaten Karafses by 1. Karafs is considered as eaten when its height becomes zero. Now SaDDas asks you n queries. In each query he gives you numbers l, t and m and you should find the largest number r such that l ≤ r and sequence sl, sl + 1, ..., sr can be eaten by performing m-bite no more than t times or print -1 if there is no such number r. Input The first line of input contains three integers A, B and n (1 ≤ A, B ≤ 106, 1 ≤ n ≤ 105). Next n lines contain information about queries. i-th line contains integers l, t, m (1 ≤ l, t, m ≤ 106) for i-th query. Output For each query, print its answer in a single line. Examples Input 2 1 4 1 5 3 3 3 10 7 10 2 6 4 8 Output 4 -1 8 -1 Input 1 5 2 1 5 10 2 7 4 Output 1 2
instruction
0
33,790
9
67,580
Tags: binary search, greedy, math Correct Solution: ``` from sys import stdin A,B,n = [int(x) for x in stdin.readline().split()] for q in range(n): l,t,m = [int(x) for x in stdin.readline().split()] l -= 1 if B*l+A > t: print(-1) else: const = A*(l)+(B*(l-1)*(l))//2 #print(l,const) high = (t-A)//B+1 low = l+1 while high >= low: mid = (low+high)//2 total = A*mid+(B*mid*(mid-1))//2-const if total <= t*m: #print(mid, total,'valid') low = mid+1 else: #print(mid,total,'invalid') high = mid-1 print(high) ```
output
1
33,790
9
67,581
Provide tags and a correct Python 3 solution for this coding contest problem. Karafs is some kind of vegetable in shape of an 1 × h rectangle. Tavaspolis people love Karafs and they use Karafs in almost any kind of food. Tavas, himself, is crazy about Karafs. <image> Each Karafs has a positive integer height. Tavas has an infinite 1-based sequence of Karafses. The height of the i-th Karafs is si = A + (i - 1) × B. For a given m, let's define an m-bite operation as decreasing the height of at most m distinct not eaten Karafses by 1. Karafs is considered as eaten when its height becomes zero. Now SaDDas asks you n queries. In each query he gives you numbers l, t and m and you should find the largest number r such that l ≤ r and sequence sl, sl + 1, ..., sr can be eaten by performing m-bite no more than t times or print -1 if there is no such number r. Input The first line of input contains three integers A, B and n (1 ≤ A, B ≤ 106, 1 ≤ n ≤ 105). Next n lines contain information about queries. i-th line contains integers l, t, m (1 ≤ l, t, m ≤ 106) for i-th query. Output For each query, print its answer in a single line. Examples Input 2 1 4 1 5 3 3 3 10 7 10 2 6 4 8 Output 4 -1 8 -1 Input 1 5 2 1 5 10 2 7 4 Output 1 2
instruction
0
33,791
9
67,582
Tags: binary search, greedy, math Correct Solution: ``` import math A, B, n = map(int, input().split()) ans = [] for _ in range(n): l, t, m = map(int, input().split()) if A + B * (l - 1) > t: ans.append(-1) continue r1 = (t - A) / B + 1 D = (B-2*A)*(B-2*A)-4*B*(-2*l*A+2*A-B*(l-2)*(l-1)-2*m*t) r2 = int(((B-2*A) + math.sqrt(D)) / 2 / B) if r1 > r2: r1 = r2 ans.append(int(r1)) print("\n".join(map(str, ans))) ```
output
1
33,791
9
67,583