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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let {\rm comb}(n,r) be the number of ways to choose r objects from among n objects, disregarding order. From n non-negative integers a_1, a_2, ..., a_n, select two numbers a_i > a_j so that {\rm comb}(a_i,a_j) is maximized. If there are multiple pairs that maximize the value, any of them is accepted. Constraints * 2 \leq n \leq 10^5 * 0 \leq a_i \leq 10^9 * a_1,a_2,...,a_n are pairwise distinct. * All values in input are integers. Input Input is given from Standard Input in the following format: n a_1 a_2 ... a_n Output Print a_i and a_j that you selected, with a space in between. Examples Input 5 6 9 4 2 11 Output 11 6 Input 2 100 0 Output 100 0 Submitted Solution: ``` from bisect import bisect_left n = int(input()) A = list(map(int,input().split())) A.sort() y = max(A) idx = bisect_left(A, y//2) print(y,A[idx]) ```
instruction
0
24,587
5
49,174
No
output
1
24,587
5
49,175
Provide a correct Python 3 solution for this coding contest problem. Sitting in a station waiting room, Joisino is gazing at her train ticket. The ticket is numbered with four digits A, B, C and D in this order, each between 0 and 9 (inclusive). In the formula A op1 B op2 C op3 D = 7, replace each of the symbols op1, op2 and op3 with `+` or `-` so that the formula holds. The given input guarantees that there is a solution. If there are multiple solutions, any of them will be accepted. Constraints * 0≤A,B,C,D≤9 * All input values are integers. * It is guaranteed that there is a solution. Input Input is given from Standard Input in the following format: ABCD Output Print the formula you made, including the part `=7`. Use the signs `+` and `-`. Do not print a space between a digit and a sign. Examples Input 1222 Output 1+2+2+2=7 Input 0290 Output 0-2+9+0=7 Input 3242 Output 3+2+4-2=7
instruction
0
24,590
5
49,180
"Correct Solution: ``` A=input() for i in range(8): f=A[0] for j in range(3): f+=("-+")[(i>>j)&1]+A[j+1] if eval(f)==7: print(f+"=7") break ```
output
1
24,590
5
49,181
Provide a correct Python 3 solution for this coding contest problem. Sitting in a station waiting room, Joisino is gazing at her train ticket. The ticket is numbered with four digits A, B, C and D in this order, each between 0 and 9 (inclusive). In the formula A op1 B op2 C op3 D = 7, replace each of the symbols op1, op2 and op3 with `+` or `-` so that the formula holds. The given input guarantees that there is a solution. If there are multiple solutions, any of them will be accepted. Constraints * 0≤A,B,C,D≤9 * All input values are integers. * It is guaranteed that there is a solution. Input Input is given from Standard Input in the following format: ABCD Output Print the formula you made, including the part `=7`. Use the signs `+` and `-`. Do not print a space between a digit and a sign. Examples Input 1222 Output 1+2+2+2=7 Input 0290 Output 0-2+9+0=7 Input 3242 Output 3+2+4-2=7
instruction
0
24,591
5
49,182
"Correct Solution: ``` def f(a,b,i): if i==4: if b==7: print(a+"=7") exit() else: return f(a+"+"+s[i],b+int(s[i]),i+1),f(a+"-"+s[i],b-int(s[i]),i+1) s=input() f(s[0],int(s[0]),1) ```
output
1
24,591
5
49,183
Provide a correct Python 3 solution for this coding contest problem. Sitting in a station waiting room, Joisino is gazing at her train ticket. The ticket is numbered with four digits A, B, C and D in this order, each between 0 and 9 (inclusive). In the formula A op1 B op2 C op3 D = 7, replace each of the symbols op1, op2 and op3 with `+` or `-` so that the formula holds. The given input guarantees that there is a solution. If there are multiple solutions, any of them will be accepted. Constraints * 0≤A,B,C,D≤9 * All input values are integers. * It is guaranteed that there is a solution. Input Input is given from Standard Input in the following format: ABCD Output Print the formula you made, including the part `=7`. Use the signs `+` and `-`. Do not print a space between a digit and a sign. Examples Input 1222 Output 1+2+2+2=7 Input 0290 Output 0-2+9+0=7 Input 3242 Output 3+2+4-2=7
instruction
0
24,592
5
49,184
"Correct Solution: ``` def a(s,i): if i == l-1: if eval(s) == 7: print(s+"=7") exit() return a(s+"+"+N[i+1],i+1) a(s+"-"+N[i+1],i+1) N = input() l = len(N) a(N[0],0) ```
output
1
24,592
5
49,185
Provide a correct Python 3 solution for this coding contest problem. Sitting in a station waiting room, Joisino is gazing at her train ticket. The ticket is numbered with four digits A, B, C and D in this order, each between 0 and 9 (inclusive). In the formula A op1 B op2 C op3 D = 7, replace each of the symbols op1, op2 and op3 with `+` or `-` so that the formula holds. The given input guarantees that there is a solution. If there are multiple solutions, any of them will be accepted. Constraints * 0≤A,B,C,D≤9 * All input values are integers. * It is guaranteed that there is a solution. Input Input is given from Standard Input in the following format: ABCD Output Print the formula you made, including the part `=7`. Use the signs `+` and `-`. Do not print a space between a digit and a sign. Examples Input 1222 Output 1+2+2+2=7 Input 0290 Output 0-2+9+0=7 Input 3242 Output 3+2+4-2=7
instruction
0
24,593
5
49,186
"Correct Solution: ``` s=input() for i in range(8): y="".join([s[k]+"+-"[i>>k&1]for k in range(3)]+[s[-1]]) if eval(y)==7: print(y+"=7") exit() ```
output
1
24,593
5
49,187
Provide a correct Python 3 solution for this coding contest problem. Sitting in a station waiting room, Joisino is gazing at her train ticket. The ticket is numbered with four digits A, B, C and D in this order, each between 0 and 9 (inclusive). In the formula A op1 B op2 C op3 D = 7, replace each of the symbols op1, op2 and op3 with `+` or `-` so that the formula holds. The given input guarantees that there is a solution. If there are multiple solutions, any of them will be accepted. Constraints * 0≤A,B,C,D≤9 * All input values are integers. * It is guaranteed that there is a solution. Input Input is given from Standard Input in the following format: ABCD Output Print the formula you made, including the part `=7`. Use the signs `+` and `-`. Do not print a space between a digit and a sign. Examples Input 1222 Output 1+2+2+2=7 Input 0290 Output 0-2+9+0=7 Input 3242 Output 3+2+4-2=7
instruction
0
24,594
5
49,188
"Correct Solution: ``` a,b,c,d = tuple(input()) import itertools n = 3 for i in itertools.product(['-','+'], repeat=n): ans = a + i[0] + b + i[1] + c + i[2] + d if eval(ans) == 7: print(ans+'=7') exit() ```
output
1
24,594
5
49,189
Provide a correct Python 3 solution for this coding contest problem. Sitting in a station waiting room, Joisino is gazing at her train ticket. The ticket is numbered with four digits A, B, C and D in this order, each between 0 and 9 (inclusive). In the formula A op1 B op2 C op3 D = 7, replace each of the symbols op1, op2 and op3 with `+` or `-` so that the formula holds. The given input guarantees that there is a solution. If there are multiple solutions, any of them will be accepted. Constraints * 0≤A,B,C,D≤9 * All input values are integers. * It is guaranteed that there is a solution. Input Input is given from Standard Input in the following format: ABCD Output Print the formula you made, including the part `=7`. Use the signs `+` and `-`. Do not print a space between a digit and a sign. Examples Input 1222 Output 1+2+2+2=7 Input 0290 Output 0-2+9+0=7 Input 3242 Output 3+2+4-2=7
instruction
0
24,595
5
49,190
"Correct Solution: ``` A,B,C,D=input() op=['+++','++-','+-+','-++','+--','-+-','--+','---'] for op1,op2,op3 in op: ex=A+op1+B+op2+C+op3+D if eval(ex)==7: break print(ex+'=7') ```
output
1
24,595
5
49,191
Provide a correct Python 3 solution for this coding contest problem. Sitting in a station waiting room, Joisino is gazing at her train ticket. The ticket is numbered with four digits A, B, C and D in this order, each between 0 and 9 (inclusive). In the formula A op1 B op2 C op3 D = 7, replace each of the symbols op1, op2 and op3 with `+` or `-` so that the formula holds. The given input guarantees that there is a solution. If there are multiple solutions, any of them will be accepted. Constraints * 0≤A,B,C,D≤9 * All input values are integers. * It is guaranteed that there is a solution. Input Input is given from Standard Input in the following format: ABCD Output Print the formula you made, including the part `=7`. Use the signs `+` and `-`. Do not print a space between a digit and a sign. Examples Input 1222 Output 1+2+2+2=7 Input 0290 Output 0-2+9+0=7 Input 3242 Output 3+2+4-2=7
instruction
0
24,596
5
49,192
"Correct Solution: ``` n=input() l=[1,-1] l1=[0,"+","-"] s="" for i in l: for j in l: for k in l: if int(n[0])+i*int(n[1])+j*int(n[2])+k*int(n[3])==7: s=n[0]+l1[i]+n[1]+l1[j]+n[2]+l1[k]+n[3]+"=7" print(s) ```
output
1
24,596
5
49,193
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sitting in a station waiting room, Joisino is gazing at her train ticket. The ticket is numbered with four digits A, B, C and D in this order, each between 0 and 9 (inclusive). In the formula A op1 B op2 C op3 D = 7, replace each of the symbols op1, op2 and op3 with `+` or `-` so that the formula holds. The given input guarantees that there is a solution. If there are multiple solutions, any of them will be accepted. Constraints * 0≤A,B,C,D≤9 * All input values are integers. * It is guaranteed that there is a solution. Input Input is given from Standard Input in the following format: ABCD Output Print the formula you made, including the part `=7`. Use the signs `+` and `-`. Do not print a space between a digit and a sign. Examples Input 1222 Output 1+2+2+2=7 Input 0290 Output 0-2+9+0=7 Input 3242 Output 3+2+4-2=7 Submitted Solution: ``` from itertools import product A,B,C,D = list(input()) for x in product(("+","-"),repeat=3): if eval(A+x[0]+B+x[1]+C+x[2]+D)==7: print(A+x[0]+B+x[1]+C+x[2]+D+"=7") break ```
instruction
0
24,597
5
49,194
Yes
output
1
24,597
5
49,195
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sitting in a station waiting room, Joisino is gazing at her train ticket. The ticket is numbered with four digits A, B, C and D in this order, each between 0 and 9 (inclusive). In the formula A op1 B op2 C op3 D = 7, replace each of the symbols op1, op2 and op3 with `+` or `-` so that the formula holds. The given input guarantees that there is a solution. If there are multiple solutions, any of them will be accepted. Constraints * 0≤A,B,C,D≤9 * All input values are integers. * It is guaranteed that there is a solution. Input Input is given from Standard Input in the following format: ABCD Output Print the formula you made, including the part `=7`. Use the signs `+` and `-`. Do not print a space between a digit and a sign. Examples Input 1222 Output 1+2+2+2=7 Input 0290 Output 0-2+9+0=7 Input 3242 Output 3+2+4-2=7 Submitted Solution: ``` a,b,c,d=input() for f in [a+p+b+q+c+r+d for p in'+-'for q in'+-'for r in'+-']: if eval(f)==7:print(f+'=7');break ```
instruction
0
24,598
5
49,196
Yes
output
1
24,598
5
49,197
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sitting in a station waiting room, Joisino is gazing at her train ticket. The ticket is numbered with four digits A, B, C and D in this order, each between 0 and 9 (inclusive). In the formula A op1 B op2 C op3 D = 7, replace each of the symbols op1, op2 and op3 with `+` or `-` so that the formula holds. The given input guarantees that there is a solution. If there are multiple solutions, any of them will be accepted. Constraints * 0≤A,B,C,D≤9 * All input values are integers. * It is guaranteed that there is a solution. Input Input is given from Standard Input in the following format: ABCD Output Print the formula you made, including the part `=7`. Use the signs `+` and `-`. Do not print a space between a digit and a sign. Examples Input 1222 Output 1+2+2+2=7 Input 0290 Output 0-2+9+0=7 Input 3242 Output 3+2+4-2=7 Submitted Solution: ``` from itertools import product A, B, C, D = list(input()) for x, y, z in product(["+", "-"], repeat=3): eqn = A + x + B + y + C + z + D if eval(eqn) == 7: print(f"{eqn}=7") break ```
instruction
0
24,599
5
49,198
Yes
output
1
24,599
5
49,199
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sitting in a station waiting room, Joisino is gazing at her train ticket. The ticket is numbered with four digits A, B, C and D in this order, each between 0 and 9 (inclusive). In the formula A op1 B op2 C op3 D = 7, replace each of the symbols op1, op2 and op3 with `+` or `-` so that the formula holds. The given input guarantees that there is a solution. If there are multiple solutions, any of them will be accepted. Constraints * 0≤A,B,C,D≤9 * All input values are integers. * It is guaranteed that there is a solution. Input Input is given from Standard Input in the following format: ABCD Output Print the formula you made, including the part `=7`. Use the signs `+` and `-`. Do not print a space between a digit and a sign. Examples Input 1222 Output 1+2+2+2=7 Input 0290 Output 0-2+9+0=7 Input 3242 Output 3+2+4-2=7 Submitted Solution: ``` import itertools a,b,c,d = list(input()) for ops in itertools.product(['+','-'],repeat=3): eq = a+ops[0]+b+ops[1]+c+ops[2]+d x = eval(eq) if x==7: break answer = eq+'=7' print(answer) ```
instruction
0
24,600
5
49,200
Yes
output
1
24,600
5
49,201
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sitting in a station waiting room, Joisino is gazing at her train ticket. The ticket is numbered with four digits A, B, C and D in this order, each between 0 and 9 (inclusive). In the formula A op1 B op2 C op3 D = 7, replace each of the symbols op1, op2 and op3 with `+` or `-` so that the formula holds. The given input guarantees that there is a solution. If there are multiple solutions, any of them will be accepted. Constraints * 0≤A,B,C,D≤9 * All input values are integers. * It is guaranteed that there is a solution. Input Input is given from Standard Input in the following format: ABCD Output Print the formula you made, including the part `=7`. Use the signs `+` and `-`. Do not print a space between a digit and a sign. Examples Input 1222 Output 1+2+2+2=7 Input 0290 Output 0-2+9+0=7 Input 3242 Output 3+2+4-2=7 Submitted Solution: ``` a = list(input()) op = ['-'] * 3 for i in range(2**3): ans = int(a[0]) for j in range(3): if 1 & (i>>j): ans += int(a[3-j]) op[2-j] = '+' else: ans -= int(a[3-j]) if ans == 7: break print(a[0] + op[0] + a[1] + op[1] + a[2] + op[2] +a[3] + "=7") ```
instruction
0
24,602
5
49,204
No
output
1
24,602
5
49,205
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sitting in a station waiting room, Joisino is gazing at her train ticket. The ticket is numbered with four digits A, B, C and D in this order, each between 0 and 9 (inclusive). In the formula A op1 B op2 C op3 D = 7, replace each of the symbols op1, op2 and op3 with `+` or `-` so that the formula holds. The given input guarantees that there is a solution. If there are multiple solutions, any of them will be accepted. Constraints * 0≤A,B,C,D≤9 * All input values are integers. * It is guaranteed that there is a solution. Input Input is given from Standard Input in the following format: ABCD Output Print the formula you made, including the part `=7`. Use the signs `+` and `-`. Do not print a space between a digit and a sign. Examples Input 1222 Output 1+2+2+2=7 Input 0290 Output 0-2+9+0=7 Input 3242 Output 3+2+4-2=7 Submitted Solution: ``` num = input() ls = [0] * 3 for i in range(2 ** 3): make7 = int(num[0]) for j in range(3): if (i >> j) & 1: make7 += int(num[j+1]) ls[j] = "+" else: make7 -= int(num[j+1]) ls[j] = "-" if make7 == 7: print(num[0] + ls[0] + num[1] + ls[1] + num[2] + ls[2] + num[3]) exit() ```
instruction
0
24,603
5
49,206
No
output
1
24,603
5
49,207
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sitting in a station waiting room, Joisino is gazing at her train ticket. The ticket is numbered with four digits A, B, C and D in this order, each between 0 and 9 (inclusive). In the formula A op1 B op2 C op3 D = 7, replace each of the symbols op1, op2 and op3 with `+` or `-` so that the formula holds. The given input guarantees that there is a solution. If there are multiple solutions, any of them will be accepted. Constraints * 0≤A,B,C,D≤9 * All input values are integers. * It is guaranteed that there is a solution. Input Input is given from Standard Input in the following format: ABCD Output Print the formula you made, including the part `=7`. Use the signs `+` and `-`. Do not print a space between a digit and a sign. Examples Input 1222 Output 1+2+2+2=7 Input 0290 Output 0-2+9+0=7 Input 3242 Output 3+2+4-2=7 Submitted Solution: ``` s = input() a = int(s[0]) b = int(s[1]) c = int(s[2]) d = int(s[3]) if a + b + c + d == 7: print(str(a)+"+"+str(b)+"+"str(c)+"+"str(d)+"=7") elif a + b + c - d == 7: print(str(a)+"+"+str(b)+"+"str(c)+"-"str(d)+"=7") elif a + b - c + d == 7: print(str(a)+"+"+str(b)+"-"str(c)+"+"str(d)+"=7") elif a - b + c + d == 7: print(str(a)+"-"+str(b)+"+"str(c)+"+"str(d)+"=7") elif a + b - c - d == 7: print(str(a)+"+"+str(b)+"-"str(c)+"-"str(d)+"=7") elif a - b + c - d == 7: print(str(a)+"-"+str(b)+"+"str(c)+"-"str(d)+"=7") elif a - b - c - d == 7: print(str(a)+"+"+str(b)+"+"str(c)+"+"str(d)+"=7") ```
instruction
0
24,604
5
49,208
No
output
1
24,604
5
49,209
Provide a correct Python 3 solution for this coding contest problem. You are taking a computer-based examination. The examination consists of N questions, and the score allocated to the i-th question is s_i. Your answer to each question will be judged as either "correct" or "incorrect", and your grade will be the sum of the points allocated to questions that are answered correctly. When you finish answering the questions, your answers will be immediately judged and your grade will be displayed... if everything goes well. However, the examination system is actually flawed, and if your grade is a multiple of 10, the system displays 0 as your grade. Otherwise, your grade is displayed correctly. In this situation, what is the maximum value that can be displayed as your grade? Constraints * All input values are integers. * 1 ≤ N ≤ 100 * 1 ≤ s_i ≤ 100 Input Input is given from Standard Input in the following format: N s_1 s_2 : s_N Output Print the maximum value that can be displayed as your grade. Examples Input 3 5 10 15 Output 25 Input 3 10 10 15 Output 35 Input 3 10 20 30 Output 0
instruction
0
24,605
5
49,210
"Correct Solution: ``` l=sorted(map(int,open(0).read().split()[1:])) a=sum(l) if a%10:print(a);exit() for t in l: if t%10:print(a-t);exit() print(0) ```
output
1
24,605
5
49,211
Provide a correct Python 3 solution for this coding contest problem. You are taking a computer-based examination. The examination consists of N questions, and the score allocated to the i-th question is s_i. Your answer to each question will be judged as either "correct" or "incorrect", and your grade will be the sum of the points allocated to questions that are answered correctly. When you finish answering the questions, your answers will be immediately judged and your grade will be displayed... if everything goes well. However, the examination system is actually flawed, and if your grade is a multiple of 10, the system displays 0 as your grade. Otherwise, your grade is displayed correctly. In this situation, what is the maximum value that can be displayed as your grade? Constraints * All input values are integers. * 1 ≤ N ≤ 100 * 1 ≤ s_i ≤ 100 Input Input is given from Standard Input in the following format: N s_1 s_2 : s_N Output Print the maximum value that can be displayed as your grade. Examples Input 3 5 10 15 Output 25 Input 3 10 10 15 Output 35 Input 3 10 20 30 Output 0
instruction
0
24,606
5
49,212
"Correct Solution: ``` n=int(input()) li=[] for i in range(n): li.append(int(input())) out=sum(li) if out%10!=0: print(out) else: li.sort() for i in li: if i%10!=0: print(out-i) break else: print(0) ```
output
1
24,606
5
49,213
Provide a correct Python 3 solution for this coding contest problem. You are taking a computer-based examination. The examination consists of N questions, and the score allocated to the i-th question is s_i. Your answer to each question will be judged as either "correct" or "incorrect", and your grade will be the sum of the points allocated to questions that are answered correctly. When you finish answering the questions, your answers will be immediately judged and your grade will be displayed... if everything goes well. However, the examination system is actually flawed, and if your grade is a multiple of 10, the system displays 0 as your grade. Otherwise, your grade is displayed correctly. In this situation, what is the maximum value that can be displayed as your grade? Constraints * All input values are integers. * 1 ≤ N ≤ 100 * 1 ≤ s_i ≤ 100 Input Input is given from Standard Input in the following format: N s_1 s_2 : s_N Output Print the maximum value that can be displayed as your grade. Examples Input 3 5 10 15 Output 25 Input 3 10 10 15 Output 35 Input 3 10 20 30 Output 0
instruction
0
24,607
5
49,214
"Correct Solution: ``` n=int(input()) a=[0]*n for i in range(n): a[i]=int(input()) a=sorted(a) S=sum(a) if S%10!=0: print(S) exit() else: for i in range(n): if (S-a[i])%10: print(S-a[i]) exit() print(0) ```
output
1
24,607
5
49,215
Provide a correct Python 3 solution for this coding contest problem. You are taking a computer-based examination. The examination consists of N questions, and the score allocated to the i-th question is s_i. Your answer to each question will be judged as either "correct" or "incorrect", and your grade will be the sum of the points allocated to questions that are answered correctly. When you finish answering the questions, your answers will be immediately judged and your grade will be displayed... if everything goes well. However, the examination system is actually flawed, and if your grade is a multiple of 10, the system displays 0 as your grade. Otherwise, your grade is displayed correctly. In this situation, what is the maximum value that can be displayed as your grade? Constraints * All input values are integers. * 1 ≤ N ≤ 100 * 1 ≤ s_i ≤ 100 Input Input is given from Standard Input in the following format: N s_1 s_2 : s_N Output Print the maximum value that can be displayed as your grade. Examples Input 3 5 10 15 Output 25 Input 3 10 10 15 Output 35 Input 3 10 20 30 Output 0
instruction
0
24,608
5
49,216
"Correct Solution: ``` n=int(input()) a=[int(input()) for i in range(n)] if sum(a)%10!=0: print(sum(a)) else: a=sorted(a) for i in a: if i%10!=0: print(sum(a)-i) exit() print(0) ```
output
1
24,608
5
49,217
Provide a correct Python 3 solution for this coding contest problem. You are taking a computer-based examination. The examination consists of N questions, and the score allocated to the i-th question is s_i. Your answer to each question will be judged as either "correct" or "incorrect", and your grade will be the sum of the points allocated to questions that are answered correctly. When you finish answering the questions, your answers will be immediately judged and your grade will be displayed... if everything goes well. However, the examination system is actually flawed, and if your grade is a multiple of 10, the system displays 0 as your grade. Otherwise, your grade is displayed correctly. In this situation, what is the maximum value that can be displayed as your grade? Constraints * All input values are integers. * 1 ≤ N ≤ 100 * 1 ≤ s_i ≤ 100 Input Input is given from Standard Input in the following format: N s_1 s_2 : s_N Output Print the maximum value that can be displayed as your grade. Examples Input 3 5 10 15 Output 25 Input 3 10 10 15 Output 35 Input 3 10 20 30 Output 0
instruction
0
24,609
5
49,218
"Correct Solution: ``` n = int(input()) s = sorted([int(input()) for _ in range(n)]) a = sum(s) if a % 10: print(a) else: for si in s: if si % 10: print(a - si) break else: print(0) ```
output
1
24,609
5
49,219
Provide a correct Python 3 solution for this coding contest problem. You are taking a computer-based examination. The examination consists of N questions, and the score allocated to the i-th question is s_i. Your answer to each question will be judged as either "correct" or "incorrect", and your grade will be the sum of the points allocated to questions that are answered correctly. When you finish answering the questions, your answers will be immediately judged and your grade will be displayed... if everything goes well. However, the examination system is actually flawed, and if your grade is a multiple of 10, the system displays 0 as your grade. Otherwise, your grade is displayed correctly. In this situation, what is the maximum value that can be displayed as your grade? Constraints * All input values are integers. * 1 ≤ N ≤ 100 * 1 ≤ s_i ≤ 100 Input Input is given from Standard Input in the following format: N s_1 s_2 : s_N Output Print the maximum value that can be displayed as your grade. Examples Input 3 5 10 15 Output 25 Input 3 10 10 15 Output 35 Input 3 10 20 30 Output 0
instruction
0
24,610
5
49,220
"Correct Solution: ``` import sys n=int(input()) a=[int(input())for _ in range(n)] a.sort() ans=0 if sum(a)%10==0: for i in a: if i%10!=0: print(sum(a)-i) sys.exit() print(0) else: print(sum(a)) ```
output
1
24,610
5
49,221
Provide a correct Python 3 solution for this coding contest problem. You are taking a computer-based examination. The examination consists of N questions, and the score allocated to the i-th question is s_i. Your answer to each question will be judged as either "correct" or "incorrect", and your grade will be the sum of the points allocated to questions that are answered correctly. When you finish answering the questions, your answers will be immediately judged and your grade will be displayed... if everything goes well. However, the examination system is actually flawed, and if your grade is a multiple of 10, the system displays 0 as your grade. Otherwise, your grade is displayed correctly. In this situation, what is the maximum value that can be displayed as your grade? Constraints * All input values are integers. * 1 ≤ N ≤ 100 * 1 ≤ s_i ≤ 100 Input Input is given from Standard Input in the following format: N s_1 s_2 : s_N Output Print the maximum value that can be displayed as your grade. Examples Input 3 5 10 15 Output 25 Input 3 10 10 15 Output 35 Input 3 10 20 30 Output 0
instruction
0
24,611
5
49,222
"Correct Solution: ``` n = int(input()) notlist = [] s = 0 for i in range(n): a = int(input()) if a%10 != 0: notlist.append(a) s += a print(s if s%10 != 0 else s-min(notlist) if notlist != [] else 0) ```
output
1
24,611
5
49,223
Provide a correct Python 3 solution for this coding contest problem. You are taking a computer-based examination. The examination consists of N questions, and the score allocated to the i-th question is s_i. Your answer to each question will be judged as either "correct" or "incorrect", and your grade will be the sum of the points allocated to questions that are answered correctly. When you finish answering the questions, your answers will be immediately judged and your grade will be displayed... if everything goes well. However, the examination system is actually flawed, and if your grade is a multiple of 10, the system displays 0 as your grade. Otherwise, your grade is displayed correctly. In this situation, what is the maximum value that can be displayed as your grade? Constraints * All input values are integers. * 1 ≤ N ≤ 100 * 1 ≤ s_i ≤ 100 Input Input is given from Standard Input in the following format: N s_1 s_2 : s_N Output Print the maximum value that can be displayed as your grade. Examples Input 3 5 10 15 Output 25 Input 3 10 10 15 Output 35 Input 3 10 20 30 Output 0
instruction
0
24,612
5
49,224
"Correct Solution: ``` n=int(input()) s=sorted([int(input()) for _ in [0]*n]) ans=sum(s) for i in s: if ans%10>0: print(ans) exit() else: if i%10>0: print(ans-i) exit() print(0) ```
output
1
24,612
5
49,225
Provide a correct Python 3 solution for this coding contest problem. Set Given the sequence a_1, a_2, .., a_N. How many values ​​are there in this sequence? input N a_1 a_2 ... a_N output Output the number of types of values ​​in the sequence. Constraint * 1 \ leq N \ leq 10 ^ 5 * 1 \ leq a_i \ leq 10 ^ 9 Input example 6 8 6 9 1 2 1 Output example Five Example Input 6 8 6 9 1 2 1 Output 5
instruction
0
24,706
5
49,412
"Correct Solution: ``` n = int(input()) s = set() l = list(map(int, input().split())) for i in range(n): s.add(l[i]) print(len(s)) ```
output
1
24,706
5
49,413
Provide a correct Python 3 solution for this coding contest problem. Set Given the sequence a_1, a_2, .., a_N. How many values ​​are there in this sequence? input N a_1 a_2 ... a_N output Output the number of types of values ​​in the sequence. Constraint * 1 \ leq N \ leq 10 ^ 5 * 1 \ leq a_i \ leq 10 ^ 9 Input example 6 8 6 9 1 2 1 Output example Five Example Input 6 8 6 9 1 2 1 Output 5
instruction
0
24,707
5
49,414
"Correct Solution: ``` N = int(input()) a = set([int(x) for x in input().split()]) print(len(a)) ```
output
1
24,707
5
49,415
Provide a correct Python 3 solution for this coding contest problem. Set Given the sequence a_1, a_2, .., a_N. How many values ​​are there in this sequence? input N a_1 a_2 ... a_N output Output the number of types of values ​​in the sequence. Constraint * 1 \ leq N \ leq 10 ^ 5 * 1 \ leq a_i \ leq 10 ^ 9 Input example 6 8 6 9 1 2 1 Output example Five Example Input 6 8 6 9 1 2 1 Output 5
instruction
0
24,708
5
49,416
"Correct Solution: ``` n = int(input()) l = [int(i) for i in input().split()] print(len(set(l))) ```
output
1
24,708
5
49,417
Provide a correct Python 3 solution for this coding contest problem. Set Given the sequence a_1, a_2, .., a_N. How many values ​​are there in this sequence? input N a_1 a_2 ... a_N output Output the number of types of values ​​in the sequence. Constraint * 1 \ leq N \ leq 10 ^ 5 * 1 \ leq a_i \ leq 10 ^ 9 Input example 6 8 6 9 1 2 1 Output example Five Example Input 6 8 6 9 1 2 1 Output 5
instruction
0
24,709
5
49,418
"Correct Solution: ``` input();print(len(set(list(map(int,input().split()))))) ```
output
1
24,709
5
49,419
Provide a correct Python 3 solution for this coding contest problem. Set Given the sequence a_1, a_2, .., a_N. How many values ​​are there in this sequence? input N a_1 a_2 ... a_N output Output the number of types of values ​​in the sequence. Constraint * 1 \ leq N \ leq 10 ^ 5 * 1 \ leq a_i \ leq 10 ^ 9 Input example 6 8 6 9 1 2 1 Output example Five Example Input 6 8 6 9 1 2 1 Output 5
instruction
0
24,710
5
49,420
"Correct Solution: ``` N = int(input()) a = list(map(int,input().split())) ans = len(set(a)) print(ans) ```
output
1
24,710
5
49,421
Provide a correct Python 3 solution for this coding contest problem. Set Given the sequence a_1, a_2, .., a_N. How many values ​​are there in this sequence? input N a_1 a_2 ... a_N output Output the number of types of values ​​in the sequence. Constraint * 1 \ leq N \ leq 10 ^ 5 * 1 \ leq a_i \ leq 10 ^ 9 Input example 6 8 6 9 1 2 1 Output example Five Example Input 6 8 6 9 1 2 1 Output 5
instruction
0
24,711
5
49,422
"Correct Solution: ``` def num(): return int(input()) def nums(): return list(map(int,input().split())) """ N = num() A = nums() print(A.index(min(A))+1) """ N = num() A = set(nums()) print(len(A)) ```
output
1
24,711
5
49,423
Provide a correct Python 3 solution for this coding contest problem. Set Given the sequence a_1, a_2, .., a_N. How many values ​​are there in this sequence? input N a_1 a_2 ... a_N output Output the number of types of values ​​in the sequence. Constraint * 1 \ leq N \ leq 10 ^ 5 * 1 \ leq a_i \ leq 10 ^ 9 Input example 6 8 6 9 1 2 1 Output example Five Example Input 6 8 6 9 1 2 1 Output 5
instruction
0
24,712
5
49,424
"Correct Solution: ``` n=int(input()) print(len(set(map(int, input().split())))) ```
output
1
24,712
5
49,425
Provide a correct Python 3 solution for this coding contest problem. Set Given the sequence a_1, a_2, .., a_N. How many values ​​are there in this sequence? input N a_1 a_2 ... a_N output Output the number of types of values ​​in the sequence. Constraint * 1 \ leq N \ leq 10 ^ 5 * 1 \ leq a_i \ leq 10 ^ 9 Input example 6 8 6 9 1 2 1 Output example Five Example Input 6 8 6 9 1 2 1 Output 5
instruction
0
24,713
5
49,426
"Correct Solution: ``` n = int(input()) a = list(map(int,input().split())) print(len(set(a))) ```
output
1
24,713
5
49,427
Provide a correct Python 3 solution for this coding contest problem. There is a sequence $A = a_0, a_1, ..., a_{n-1}$. You are given the following information and questions. * relate$(x, y, z)$: $a_y$ is greater than $a_x$ by $z$ * diff$(x, y)$: report the difference between $a_x$ and $a_y$ $(a_y - a_x)$ Constraints * $2 \leq n \leq 100,000$ * $1 \leq q \leq 200,000$ * $0 \leq x, y < n$ * $x \ne y$ * $0 \leq z \leq 10000$ * There are no inconsistency in the given information Input $n \; q$ $query_1$ $query_2$ : $query_q$ In the first line, $n$ and $q$ are given. Then, $q$ information/questions are given in the following format. 0 $x \; y\; z$ or 1 $x \; y$ where '0' of the first digit denotes the relate information and '1' denotes the diff question. Output For each diff question, print the difference between $a_x$ and $a_y$ $(a_y - a_x)$. Example Input 5 6 0 0 2 5 0 1 2 3 1 0 1 1 1 3 0 1 4 8 1 0 4 Output 2 ? 10
instruction
0
24,715
5
49,430
"Correct Solution: ``` [p, rank] = [[], []] [n, q] = list(map(int, input().split())) w = [0 for i in range(n)] def findSet(x): global p if x != p[x]: pre_parent = p[x] p[x] = findSet(p[x]) w[x] += w[pre_parent] return p[x] def makeSet(x): global p, rank p.append(x) rank.append(0) def link(x, y, z): global p, rank, w if rank[x] > rank[y]: p[y] = x w[y] = z else: p[x] = y w[x] = -z if rank[x] == rank[y]: rank[y] += 1 def relate(x, y, z): global w root_x = findSet(x) root_y = findSet(y) z += w[x] z -= w[y] link(root_x, root_y, z) def same(x, y): if findSet(x) == findSet(y): return 1 else: return 0 def difference(x, y): if same(x, y) == 1: global w return w[y] - w[x] else: return "?" for i in range(n): makeSet(i) for i in range(q): data = list(map(int, input().split())) if data[0] == 0: relate(data[1], data[2], data[3]) else: print(difference(data[1], data[2])) ```
output
1
24,715
5
49,431
Provide a correct Python 3 solution for this coding contest problem. There is a sequence $A = a_0, a_1, ..., a_{n-1}$. You are given the following information and questions. * relate$(x, y, z)$: $a_y$ is greater than $a_x$ by $z$ * diff$(x, y)$: report the difference between $a_x$ and $a_y$ $(a_y - a_x)$ Constraints * $2 \leq n \leq 100,000$ * $1 \leq q \leq 200,000$ * $0 \leq x, y < n$ * $x \ne y$ * $0 \leq z \leq 10000$ * There are no inconsistency in the given information Input $n \; q$ $query_1$ $query_2$ : $query_q$ In the first line, $n$ and $q$ are given. Then, $q$ information/questions are given in the following format. 0 $x \; y\; z$ or 1 $x \; y$ where '0' of the first digit denotes the relate information and '1' denotes the diff question. Output For each diff question, print the difference between $a_x$ and $a_y$ $(a_y - a_x)$. Example Input 5 6 0 0 2 5 0 1 2 3 1 0 1 1 1 3 0 1 4 8 1 0 4 Output 2 ? 10
instruction
0
24,718
5
49,436
"Correct Solution: ``` import sys sys.setrecursionlimit(10000000) input = sys.stdin.readline def diff(node_a, node_b): root_a, cost_a = node_a.root(0) root_b, cost_b = node_b.root(0) if root_a == root_b: return True, cost_a - cost_b else: return False, cost_a - cost_b def merge(node_a, node_b, weight): root_a, cost_a = node_a.root(0) root_b, cost_b = node_b.root(0) root_a.weight = weight + cost_b - cost_a root_a.is_root = False root_a.parent = root_b class Node: def __init__(self): self.is_root = True self.parent = None self.weight = 0 def root(self, cost): if self.is_root: return self, cost root, max_ = self.parent.root(cost + self.weight) self.parent = root self.weight = max_ - cost return root, max_ def main(): n, q = map(int, input().split()) nodes = [Node() for i in range(n)] for i in range(q): query = list(map(int, input().split())) if query[0] == 0: x, y, z = query[1:] if not diff(nodes[x], nodes[y])[0]: merge(nodes[x], nodes[y], z) else: x, y = query[1:] jud, ans = diff(nodes[x], nodes[y]) if jud: print(ans) else: print("?") if __name__ == "__main__": main() ```
output
1
24,718
5
49,437
Provide a correct Python 3 solution for this coding contest problem. There is a sequence $A = a_0, a_1, ..., a_{n-1}$. You are given the following information and questions. * relate$(x, y, z)$: $a_y$ is greater than $a_x$ by $z$ * diff$(x, y)$: report the difference between $a_x$ and $a_y$ $(a_y - a_x)$ Constraints * $2 \leq n \leq 100,000$ * $1 \leq q \leq 200,000$ * $0 \leq x, y < n$ * $x \ne y$ * $0 \leq z \leq 10000$ * There are no inconsistency in the given information Input $n \; q$ $query_1$ $query_2$ : $query_q$ In the first line, $n$ and $q$ are given. Then, $q$ information/questions are given in the following format. 0 $x \; y\; z$ or 1 $x \; y$ where '0' of the first digit denotes the relate information and '1' denotes the diff question. Output For each diff question, print the difference between $a_x$ and $a_y$ $(a_y - a_x)$. Example Input 5 6 0 0 2 5 0 1 2 3 1 0 1 1 1 3 0 1 4 8 1 0 4 Output 2 ? 10
instruction
0
24,719
5
49,438
"Correct Solution: ``` MAX = 100003 ws = [0 for i in range(MAX)] par = [-1 for i in range(MAX*2)] def weight(x): root(x) return ws[x] def root(x): if par[x] < 0: return x p = root(par[x]) ws[x] = ws[x] + ws[par[x]] par[x] = p return par[x] def unite(y, x, z): z = z + weight(x) z = z - weight(y) x = root(x) y = root(y) if x == y: return 0 if par[y] < par[x]: tmp = x x = y y = tmp z = -z par[x] = par[x] + par[y] par[y] = x ws[y] = z return 1 def diff(x,y): if root(x) != root(y) :return 0 ans = ws[x] - ws[y] return 1 ,ans if __name__=='__main__': global ans N, Q = (int(x) for x in input().split()) for q in range(Q): t, *cmd = (int(x) for x in input().split()) if t: x, y = cmd z = diff(x, y) if z==False :print("?") else :print(z[1]) else: x, y, z = cmd unite(x, y, z) ```
output
1
24,719
5
49,439
Provide a correct Python 3 solution for this coding contest problem. There is a sequence $A = a_0, a_1, ..., a_{n-1}$. You are given the following information and questions. * relate$(x, y, z)$: $a_y$ is greater than $a_x$ by $z$ * diff$(x, y)$: report the difference between $a_x$ and $a_y$ $(a_y - a_x)$ Constraints * $2 \leq n \leq 100,000$ * $1 \leq q \leq 200,000$ * $0 \leq x, y < n$ * $x \ne y$ * $0 \leq z \leq 10000$ * There are no inconsistency in the given information Input $n \; q$ $query_1$ $query_2$ : $query_q$ In the first line, $n$ and $q$ are given. Then, $q$ information/questions are given in the following format. 0 $x \; y\; z$ or 1 $x \; y$ where '0' of the first digit denotes the relate information and '1' denotes the diff question. Output For each diff question, print the difference between $a_x$ and $a_y$ $(a_y - a_x)$. Example Input 5 6 0 0 2 5 0 1 2 3 1 0 1 1 1 3 0 1 4 8 1 0 4 Output 2 ? 10
instruction
0
24,721
5
49,442
"Correct Solution: ``` def union(x, y, t): x, t_x = findSet(x) y, t_y = findSet(y) link(x, t_x, y, t_y, t) def link(x, d_x, y, d_y, t): #print('', 'x', 'y') #print('', x, y) #print('', d_x, d_y, t) if r[x] > r[y]: p[y] = x d[y] = d_x - d_y - t #print('', y, '->', p[y], '=', d[y], '\n') else: p[x] = y d[x] = d_y - d_x + t if r[x] == r[y]: r[y] = r[y] + 1 #print('', x, '->', p[x], '=', d[x], '\n') def findSet(x): if x != p[x]: p[x], t = findSet(p[x]) d[x] += t return p[x], d[x] def diff(x, y): x, d_x = findSet(x) y, d_y = findSet(y) if x == y: return d_x - d_y else: return '?' if __name__ == '__main__': p, r, d = [], [], [] n_set, n_quare = map(int, input().split()) for i in range(n_set): p.append(i) r.append(0) d.append(0) for i in range(n_quare): l = input().split() if len(l) == 4: _, x, y, t = map(int, l) union(x, y, t) else: _, x, y = map(int, l) print(diff(x, y)) ```
output
1
24,721
5
49,443
Provide a correct Python 3 solution for this coding contest problem. Multiplication of Big Integers II Given two integers $A$ and $B$, compute the product, $A \times B$. Input Two integers $A$ and $B$ separated by a space character are given in a line. Output Print the product in a line. Constraints * $-1 \times 10^{200000} \leq A, B \leq 10^{200000}$ Sample Input 1 5 8 Sample Output 1 40 Sample Input 2 100 25 Sample Output 2 2500 Sample Input 3 -1 0 Sample Output 3 0 Sample Input 4 12 -3 Sample Output 4 -36 Example Input 5 8 Output 40
instruction
0
24,730
5
49,460
"Correct Solution: ``` a=[int(i) for i in input().split()] print(a[0]*a[1]) ```
output
1
24,730
5
49,461
Provide a correct Python 3 solution for this coding contest problem. Multiplication of Big Integers II Given two integers $A$ and $B$, compute the product, $A \times B$. Input Two integers $A$ and $B$ separated by a space character are given in a line. Output Print the product in a line. Constraints * $-1 \times 10^{200000} \leq A, B \leq 10^{200000}$ Sample Input 1 5 8 Sample Output 1 40 Sample Input 2 100 25 Sample Output 2 2500 Sample Input 3 -1 0 Sample Output 3 0 Sample Input 4 12 -3 Sample Output 4 -36 Example Input 5 8 Output 40
instruction
0
24,731
5
49,462
"Correct Solution: ``` print(eval(input().replace(' ','*'))) ```
output
1
24,731
5
49,463
Provide a correct Python 3 solution for this coding contest problem. Multiplication of Big Integers II Given two integers $A$ and $B$, compute the product, $A \times B$. Input Two integers $A$ and $B$ separated by a space character are given in a line. Output Print the product in a line. Constraints * $-1 \times 10^{200000} \leq A, B \leq 10^{200000}$ Sample Input 1 5 8 Sample Output 1 40 Sample Input 2 100 25 Sample Output 2 2500 Sample Input 3 -1 0 Sample Output 3 0 Sample Input 4 12 -3 Sample Output 4 -36 Example Input 5 8 Output 40
instruction
0
24,732
5
49,464
"Correct Solution: ``` # -*- coding: utf-8 -*- """ Big Integers - Multiplication of Big Integers II http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=NTL_2_F&lang=jp """ import sys def main(args): A, B = map(int, input().split()) print(A * B) if __name__ == '__main__': main(sys.argv[1:]) ```
output
1
24,732
5
49,465
Provide a correct Python 3 solution for this coding contest problem. Multiplication of Big Integers II Given two integers $A$ and $B$, compute the product, $A \times B$. Input Two integers $A$ and $B$ separated by a space character are given in a line. Output Print the product in a line. Constraints * $-1 \times 10^{200000} \leq A, B \leq 10^{200000}$ Sample Input 1 5 8 Sample Output 1 40 Sample Input 2 100 25 Sample Output 2 2500 Sample Input 3 -1 0 Sample Output 3 0 Sample Input 4 12 -3 Sample Output 4 -36 Example Input 5 8 Output 40
instruction
0
24,733
5
49,466
"Correct Solution: ``` #標準入力 a,b = map(int,input().split()) #a*bを出力する print(a * b) ```
output
1
24,733
5
49,467
Provide a correct Python 3 solution for this coding contest problem. Multiplication of Big Integers II Given two integers $A$ and $B$, compute the product, $A \times B$. Input Two integers $A$ and $B$ separated by a space character are given in a line. Output Print the product in a line. Constraints * $-1 \times 10^{200000} \leq A, B \leq 10^{200000}$ Sample Input 1 5 8 Sample Output 1 40 Sample Input 2 100 25 Sample Output 2 2500 Sample Input 3 -1 0 Sample Output 3 0 Sample Input 4 12 -3 Sample Output 4 -36 Example Input 5 8 Output 40
instruction
0
24,734
5
49,468
"Correct Solution: ``` import sys,collections as cl,bisect as bs sys.setrecursionlimit(100000) Max = sys.maxsize def l(): #intのlist return list(map(int,input().split())) def m(): #複数文字 return map(int,input().split()) def onem(): #Nとかの取得 return int(input()) def s(x): #圧縮 a = [] aa = x[0] su = 1 for i in range(len(x)-1): if aa == x[i+1]: a.append([aa,su]) aa = x[i+1] su = 1 else: su += 1 a.append([aa,su]) return a def jo(x): #listをスペースごとに分ける return " ".join(map(str,x)) def max2(x): #他のときもどうように作成可能 return max(map(max,x)) n,m= m() print(n*m) ```
output
1
24,734
5
49,469
Provide a correct Python 3 solution for this coding contest problem. Multiplication of Big Integers II Given two integers $A$ and $B$, compute the product, $A \times B$. Input Two integers $A$ and $B$ separated by a space character are given in a line. Output Print the product in a line. Constraints * $-1 \times 10^{200000} \leq A, B \leq 10^{200000}$ Sample Input 1 5 8 Sample Output 1 40 Sample Input 2 100 25 Sample Output 2 2500 Sample Input 3 -1 0 Sample Output 3 0 Sample Input 4 12 -3 Sample Output 4 -36 Example Input 5 8 Output 40
instruction
0
24,735
5
49,470
"Correct Solution: ``` a, b=input().split(' ') a=int(a) b=int(b) print(a*b) ```
output
1
24,735
5
49,471
Provide a correct Python 3 solution for this coding contest problem. Multiplication of Big Integers II Given two integers $A$ and $B$, compute the product, $A \times B$. Input Two integers $A$ and $B$ separated by a space character are given in a line. Output Print the product in a line. Constraints * $-1 \times 10^{200000} \leq A, B \leq 10^{200000}$ Sample Input 1 5 8 Sample Output 1 40 Sample Input 2 100 25 Sample Output 2 2500 Sample Input 3 -1 0 Sample Output 3 0 Sample Input 4 12 -3 Sample Output 4 -36 Example Input 5 8 Output 40
instruction
0
24,736
5
49,472
"Correct Solution: ``` a,b=input().split(" ") a=int(a) b=int(b) print(a*b) ```
output
1
24,736
5
49,473
Provide a correct Python 3 solution for this coding contest problem. Multiplication of Big Integers II Given two integers $A$ and $B$, compute the product, $A \times B$. Input Two integers $A$ and $B$ separated by a space character are given in a line. Output Print the product in a line. Constraints * $-1 \times 10^{200000} \leq A, B \leq 10^{200000}$ Sample Input 1 5 8 Sample Output 1 40 Sample Input 2 100 25 Sample Output 2 2500 Sample Input 3 -1 0 Sample Output 3 0 Sample Input 4 12 -3 Sample Output 4 -36 Example Input 5 8 Output 40
instruction
0
24,737
5
49,474
"Correct Solution: ``` from decimal import * getcontext().prec = 2000001 a, b = map(Decimal, input().split()) ans = a * b if a == 0 or b == 0: ans = Decimal(0) print(ans) ```
output
1
24,737
5
49,475
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Multiplication of Big Integers II Given two integers $A$ and $B$, compute the product, $A \times B$. Input Two integers $A$ and $B$ separated by a space character are given in a line. Output Print the product in a line. Constraints * $-1 \times 10^{200000} \leq A, B \leq 10^{200000}$ Sample Input 1 5 8 Sample Output 1 40 Sample Input 2 100 25 Sample Output 2 2500 Sample Input 3 -1 0 Sample Output 3 0 Sample Input 4 12 -3 Sample Output 4 -36 Example Input 5 8 Output 40 Submitted Solution: ``` a = [int(i) for i in input().split()]; print (a[0] * a[1]); ```
instruction
0
24,738
5
49,476
Yes
output
1
24,738
5
49,477
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Multiplication of Big Integers II Given two integers $A$ and $B$, compute the product, $A \times B$. Input Two integers $A$ and $B$ separated by a space character are given in a line. Output Print the product in a line. Constraints * $-1 \times 10^{200000} \leq A, B \leq 10^{200000}$ Sample Input 1 5 8 Sample Output 1 40 Sample Input 2 100 25 Sample Output 2 2500 Sample Input 3 -1 0 Sample Output 3 0 Sample Input 4 12 -3 Sample Output 4 -36 Example Input 5 8 Output 40 Submitted Solution: ``` A,B = [int(i) for i in input().split()] print(A*B) ```
instruction
0
24,739
5
49,478
Yes
output
1
24,739
5
49,479
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Multiplication of Big Integers II Given two integers $A$ and $B$, compute the product, $A \times B$. Input Two integers $A$ and $B$ separated by a space character are given in a line. Output Print the product in a line. Constraints * $-1 \times 10^{200000} \leq A, B \leq 10^{200000}$ Sample Input 1 5 8 Sample Output 1 40 Sample Input 2 100 25 Sample Output 2 2500 Sample Input 3 -1 0 Sample Output 3 0 Sample Input 4 12 -3 Sample Output 4 -36 Example Input 5 8 Output 40 Submitted Solution: ``` def main(): A, B = map(int, input().split()) print(A*B) if __name__ == '__main__': main() ```
instruction
0
24,740
5
49,480
Yes
output
1
24,740
5
49,481
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Multiplication of Big Integers II Given two integers $A$ and $B$, compute the product, $A \times B$. Input Two integers $A$ and $B$ separated by a space character are given in a line. Output Print the product in a line. Constraints * $-1 \times 10^{200000} \leq A, B \leq 10^{200000}$ Sample Input 1 5 8 Sample Output 1 40 Sample Input 2 100 25 Sample Output 2 2500 Sample Input 3 -1 0 Sample Output 3 0 Sample Input 4 12 -3 Sample Output 4 -36 Example Input 5 8 Output 40 Submitted Solution: ``` import math n, m = map(int, input().split()) print(n * m) ```
instruction
0
24,741
5
49,482
Yes
output
1
24,741
5
49,483
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Multiplication of Big Integers II Given two integers $A$ and $B$, compute the product, $A \times B$. Input Two integers $A$ and $B$ separated by a space character are given in a line. Output Print the product in a line. Constraints * $-1 \times 10^{200000} \leq A, B \leq 10^{200000}$ Sample Input 1 5 8 Sample Output 1 40 Sample Input 2 100 25 Sample Output 2 2500 Sample Input 3 -1 0 Sample Output 3 0 Sample Input 4 12 -3 Sample Output 4 -36 Example Input 5 8 Output 40 Submitted Solution: ``` a,b = map(int,input().split()) c = abs(a) // abs(b) print(-c if a * b < 0 else c) ```
instruction
0
24,742
5
49,484
No
output
1
24,742
5
49,485
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n positive integers a_1, …, a_n, and an integer k ≥ 2. Count the number of pairs i, j such that 1 ≤ i < j ≤ n, and there exists an integer x such that a_i ⋅ a_j = x^k. Input The first line contains two integers n and k (2 ≤ n ≤ 10^5, 2 ≤ k ≤ 100). The second line contains n integers a_1, …, a_n (1 ≤ a_i ≤ 10^5). Output Print a single integer — the number of suitable pairs. Example Input 6 3 1 3 9 8 24 1 Output 5 Note In the sample case, the suitable pairs are: * a_1 ⋅ a_4 = 8 = 2^3; * a_1 ⋅ a_6 = 1 = 1^3; * a_2 ⋅ a_3 = 27 = 3^3; * a_3 ⋅ a_5 = 216 = 6^3; * a_4 ⋅ a_6 = 8 = 2^3. Submitted Solution: ``` n,k=map(int,input().split()) A=list(map(int,input().split())) import math from collections import Counter C=Counter() for x in A: L=int(math.sqrt(x)) FACT=dict() for i in range(2,L+2): while x%i==0: FACT[i]=FACT.get(i,0)+1 x=x//i if x!=1: FACT[x]=FACT.get(x,0)+1 for f in list(FACT): FACT[f]%=k if FACT[f]==0: del FACT[f] if FACT==dict(): C[(1,1)]+=1 else: RET=1 ALL=1 for f in FACT: RET*=f**FACT[f] ALL*=f**k C[(RET,ALL//RET)]+=1 ANS=0 ANS2=0 for x,y in C: if x==y: ANS+=C[(x,y)] else: ANS2+=C[(x,y)]*C[(y,x)] print(ANS+ANS2//2) ```
instruction
0
24,867
5
49,734
No
output
1
24,867
5
49,735
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a matrix a consisting of positive integers. It has n rows and m columns. Construct a matrix b consisting of positive integers. It should have the same size as a, and the following conditions should be met: * 1 ≤ b_{i,j} ≤ 10^6; * b_{i,j} is a multiple of a_{i,j}; * the absolute value of the difference between numbers in any adjacent pair of cells (two cells that share the same side) in b is equal to k^4 for some integer k ≥ 1 (k is not necessarily the same for all pairs, it is own for each pair). We can show that the answer always exists. Input The first line contains two integers n and m (2 ≤ n,m ≤ 500). Each of the following n lines contains m integers. The j-th integer in the i-th line is a_{i,j} (1 ≤ a_{i,j} ≤ 16). Output The output should contain n lines each containing m integers. The j-th integer in the i-th line should be b_{i,j}. Examples Input 2 2 1 2 2 3 Output 1 2 2 3 Input 2 3 16 16 16 16 16 16 Output 16 32 48 32 48 64 Input 2 2 3 11 12 8 Output 327 583 408 664 Note In the first example, the matrix a can be used as the matrix b, because the absolute value of the difference between numbers in any adjacent pair of cells is 1 = 1^4. In the third example: * 327 is a multiple of 3, 583 is a multiple of 11, 408 is a multiple of 12, 664 is a multiple of 8; * |408 - 327| = 3^4, |583 - 327| = 4^4, |664 - 408| = 4^4, |664 - 583| = 3^4. Submitted Solution: ``` # ========== //\\ //|| ||====//|| # || // \\ || || // || # || //====\\ || || // || # || // \\ || || // || # ========== // \\ ======== ||//====|| # code inn = lambda : int(input()) inm = lambda : map(int, input().split()) ins = lambda : str(input()) ina = lambda : list(map(int, input().split())) lcm = 720720 def solve(): n,m = inm() a = [0 for i in range(n)] for i,v in enumerate(a): a[i] = ina() for i in range(n): for j in range(m): a[i][j] = lcm + (a[i][j] ** 4 if (i + j) % 2 else 0) for i in a: print(*i) def main(): t = 1 # t = int(input()) for _ in range(t): solve() if __name__ == "__main__": main() ```
instruction
0
24,992
5
49,984
Yes
output
1
24,992
5
49,985