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Provide a correct Python 3 solution for this coding contest problem. Problem statement There is a rational number sequence $ X_0, X_1, X_2, ..., X_N $. Each term is defined as follows. 1. $ X_0 = 0 $ 2. $ X_i = X_ {i-1} $ $ op_i $ $ Y_i $ ($ 1 \ leq i \ leq N $). However, $ op_i $ is $ + $, $ − $, $ × $, $ ÷ $ Eith...
instruction
0
8,349
5
16,698
"Correct Solution: ``` m=10000000019 x=0 def mod(x):return (x%m+m)%m def pow(x,a): ret=1 while a: if(a&1):ret=mod(x*ret) x=mod(x*x) a>>=1 return ret for _ in range(int(input())): o,y=map(int,input().split()) if o==1:x=(x+y)%m elif o==2:x=(x-y)%m elif o==3:x=mod(x*y) ...
output
1
8,349
5
16,699
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Problem statement There is a rational number sequence $ X_0, X_1, X_2, ..., X_N $. Each term is defined as follows. 1. $ X_0 = 0 $ 2. $ X_i = X_ {i-1} $ $ op_i $ $ Y_i $ ($ 1 \ leq i \ leq N ...
instruction
0
8,350
5
16,700
No
output
1
8,350
5
16,701
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Problem statement There is a rational number sequence $ X_0, X_1, X_2, ..., X_N $. Each term is defined as follows. 1. $ X_0 = 0 $ 2. $ X_i = X_ {i-1} $ $ op_i $ $ Y_i $ ($ 1 \ leq i \ leq N ...
instruction
0
8,351
5
16,702
No
output
1
8,351
5
16,703
Provide a correct Python 3 solution for this coding contest problem. Write a program which manipulates a sequence A = {a1, a2, . . . , an} with the following operations: * add(s, t, x): add x to as, as+1, ..., at. * getSum(s, t): report the sum of as, as+1, ..., at. Note that the initial values of ai (i = 1, 2, . ...
instruction
0
8,362
5
16,724
"Correct Solution: ``` import sys input = sys.stdin.readline class LazyPropSegmentTree: def __init__(self, lst, op, apply, comp, e, identity): self.n = len(lst) self.depth = (self.n - 1).bit_length() self.N = 1 << self.depth self.op = op # binary operation of elements self.a...
output
1
8,362
5
16,725
Provide a correct Python 3 solution for this coding contest problem. Write a program which manipulates a sequence A = {a1, a2, . . . , an} with the following operations: * add(s, t, x): add x to as, as+1, ..., at. * getSum(s, t): report the sum of as, as+1, ..., at. Note that the initial values of ai (i = 1, 2, . ...
instruction
0
8,363
5
16,726
"Correct Solution: ``` #!/usr/bin/env python3 # DSL_2_G: RSQ and RAQ # Range Add Query and Range Sum Query class BinaryIndexedTree: def __init__(self, n): self.size = n self.bit = [0] * (self.size+1) def add(self, i, v): while i <= self.size: self.bit[i] += v i...
output
1
8,363
5
16,727
Provide a correct Python 3 solution for this coding contest problem. Write a program which manipulates a sequence A = {a1, a2, . . . , an} with the following operations: * add(s, t, x): add x to as, as+1, ..., at. * getSum(s, t): report the sum of as, as+1, ..., at. Note that the initial values of ai (i = 1, 2, . ...
instruction
0
8,364
5
16,728
"Correct Solution: ``` # Binary Indexed Tree (Fenwick Tree) class BIT: def __init__(self, n): self.n = n self.data = [0]*(n+1) self.el = [0]*(n+1) def sum(self, i): s = 0 while i > 0: s += self.data[i] i -= i & -i return s def add(self, i, x): # assert i > 0 self.el[i] ...
output
1
8,364
5
16,729
Provide a correct Python 3 solution for this coding contest problem. Write a program which manipulates a sequence A = {a1, a2, . . . , an} with the following operations: * add(s, t, x): add x to as, as+1, ..., at. * getSum(s, t): report the sum of as, as+1, ..., at. Note that the initial values of ai (i = 1, 2, . ...
instruction
0
8,365
5
16,730
"Correct Solution: ``` class BinaryIndexedTree(): def __init__(self, n): self.n = n self.dat = [0] * (n + 1) def sum(self, i): s = 0 while i: s += self.dat[i] i -= i & -i return s def add(self, i, x): while i <= self.n: se...
output
1
8,365
5
16,731
Provide a correct Python 3 solution for this coding contest problem. Write a program which manipulates a sequence A = {a1, a2, . . . , an} with the following operations: * add(s, t, x): add x to as, as+1, ..., at. * getSum(s, t): report the sum of as, as+1, ..., at. Note that the initial values of ai (i = 1, 2, . ...
instruction
0
8,366
5
16,732
"Correct Solution: ``` import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,copy,functools import time,random sys.setrecursionlimit(10**7) inf = 10**20 eps = 1.0 / 10**10 mod = 10**9+7 mod2 = 998244353 dd = [(-1,0),(0,1),(1,0),(0,-1)] ddn = [(-1,0),(-1,1),(0,1),(1,1),(1,0),(1,-1),(0,-1),(-1,-1)...
output
1
8,366
5
16,733
Provide a correct Python 3 solution for this coding contest problem. Write a program which manipulates a sequence A = {a1, a2, . . . , an} with the following operations: * add(s, t, x): add x to as, as+1, ..., at. * getSum(s, t): report the sum of as, as+1, ..., at. Note that the initial values of ai (i = 1, 2, . ...
instruction
0
8,367
5
16,734
"Correct Solution: ``` class BinaryIndexedTree: def __init__(self, n): self.a = [0] * (n + 1) self.n = n def add(self, i, x): while i <= self.n: self.a[i] += x i += i & -i def sum(self, i): ret = 0 while i > 0: ret += self.a[i] ...
output
1
8,367
5
16,735
Provide a correct Python 3 solution for this coding contest problem. Write a program which manipulates a sequence A = {a1, a2, . . . , an} with the following operations: * add(s, t, x): add x to as, as+1, ..., at. * getSum(s, t): report the sum of as, as+1, ..., at. Note that the initial values of ai (i = 1, 2, . ...
instruction
0
8,368
5
16,736
"Correct Solution: ``` class BinaryIndexedTree(): #1-indexed def __init__(self, n): self.n = n self.tree = [0 for _ in range(n + 1)] def sum(self, idx): res = 0 while idx: res += self.tree[idx] idx -= idx & -idx return res def add(self, idx,...
output
1
8,368
5
16,737
Provide a correct Python 3 solution for this coding contest problem. Write a program which manipulates a sequence A = {a1, a2, . . . , an} with the following operations: * add(s, t, x): add x to as, as+1, ..., at. * getSum(s, t): report the sum of as, as+1, ..., at. Note that the initial values of ai (i = 1, 2, . ...
instruction
0
8,369
5
16,738
"Correct Solution: ``` def _gidx(l, r, treesize): ''' lazy propagation用idx生成器 木の下から生成される。1based-indexなので注意.(使うときは-1するとか) もとの配列において[l,r)を指定したときに更新すべきidxをyieldする treesizeは多くの場合self.num ''' L, R = l + treesize, r + treesize lm = (L // (L & -L)) >> 1 # これで成り立つの天才か? rm = (R // (R & -R)) >> ...
output
1
8,369
5
16,739
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which manipulates a sequence A = {a1, a2, . . . , an} with the following operations: * add(s, t, x): add x to as, as+1, ..., at. * getSum(s, t): report the sum of as, as+1, ...,...
instruction
0
8,370
5
16,740
Yes
output
1
8,370
5
16,741
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which manipulates a sequence A = {a1, a2, . . . , an} with the following operations: * add(s, t, x): add x to as, as+1, ..., at. * getSum(s, t): report the sum of as, as+1, ...,...
instruction
0
8,371
5
16,742
Yes
output
1
8,371
5
16,743
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which manipulates a sequence A = {a1, a2, . . . , an} with the following operations: * add(s, t, x): add x to as, as+1, ..., at. * getSum(s, t): report the sum of as, as+1, ...,...
instruction
0
8,372
5
16,744
Yes
output
1
8,372
5
16,745
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which manipulates a sequence A = {a1, a2, . . . , an} with the following operations: * add(s, t, x): add x to as, as+1, ..., at. * getSum(s, t): report the sum of as, as+1, ...,...
instruction
0
8,373
5
16,746
Yes
output
1
8,373
5
16,747
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which manipulates a sequence A = {a1, a2, . . . , an} with the following operations: * add(s, t, x): add x to as, as+1, ..., at. * getSum(s, t): report the sum of as, as+1, ...,...
instruction
0
8,374
5
16,748
No
output
1
8,374
5
16,749
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which manipulates a sequence A = {a1, a2, . . . , an} with the following operations: * add(s, t, x): add x to as, as+1, ..., at. * getSum(s, t): report the sum of as, as+1, ...,...
instruction
0
8,375
5
16,750
No
output
1
8,375
5
16,751
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n arrays a_1, a_2, ..., a_n; each array consists of exactly m integers. We denote the y-th element of the x-th array as a_{x, y}. You have to choose two arrays a_i and a_j (1 ≤ i,...
instruction
0
8,487
5
16,974
Yes
output
1
8,487
5
16,975
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n arrays a_1, a_2, ..., a_n; each array consists of exactly m integers. We denote the y-th element of the x-th array as a_{x, y}. You have to choose two arrays a_i and a_j (1 ≤ i,...
instruction
0
8,489
5
16,978
Yes
output
1
8,489
5
16,979
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n arrays a_1, a_2, ..., a_n; each array consists of exactly m integers. We denote the y-th element of the x-th array as a_{x, y}. You have to choose two arrays a_i and a_j (1 ≤ i,...
instruction
0
8,491
5
16,982
No
output
1
8,491
5
16,983
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n arrays a_1, a_2, ..., a_n; each array consists of exactly m integers. We denote the y-th element of the x-th array as a_{x, y}. You have to choose two arrays a_i and a_j (1 ≤ i,...
instruction
0
8,493
5
16,986
No
output
1
8,493
5
16,987
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two positive integers n (1 ≤ n ≤ 10^9) and k (1 ≤ k ≤ 100). Represent the number n as the sum of k positive integers of the same parity (have the same remainder when divided by 2)....
instruction
0
8,518
5
17,036
Yes
output
1
8,518
5
17,037
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two positive integers n (1 ≤ n ≤ 10^9) and k (1 ≤ k ≤ 100). Represent the number n as the sum of k positive integers of the same parity (have the same remainder when divided by 2)....
instruction
0
8,519
5
17,038
Yes
output
1
8,519
5
17,039
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two positive integers n (1 ≤ n ≤ 10^9) and k (1 ≤ k ≤ 100). Represent the number n as the sum of k positive integers of the same parity (have the same remainder when divided by 2)....
instruction
0
8,520
5
17,040
Yes
output
1
8,520
5
17,041
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two positive integers n (1 ≤ n ≤ 10^9) and k (1 ≤ k ≤ 100). Represent the number n as the sum of k positive integers of the same parity (have the same remainder when divided by 2)....
instruction
0
8,521
5
17,042
Yes
output
1
8,521
5
17,043
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two positive integers n (1 ≤ n ≤ 10^9) and k (1 ≤ k ≤ 100). Represent the number n as the sum of k positive integers of the same parity (have the same remainder when divided by 2)....
instruction
0
8,522
5
17,044
No
output
1
8,522
5
17,045
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two positive integers n (1 ≤ n ≤ 10^9) and k (1 ≤ k ≤ 100). Represent the number n as the sum of k positive integers of the same parity (have the same remainder when divided by 2)....
instruction
0
8,523
5
17,046
No
output
1
8,523
5
17,047
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two positive integers n (1 ≤ n ≤ 10^9) and k (1 ≤ k ≤ 100). Represent the number n as the sum of k positive integers of the same parity (have the same remainder when divided by 2)....
instruction
0
8,524
5
17,048
No
output
1
8,524
5
17,049
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two positive integers n (1 ≤ n ≤ 10^9) and k (1 ≤ k ≤ 100). Represent the number n as the sum of k positive integers of the same parity (have the same remainder when divided by 2)....
instruction
0
8,525
5
17,050
No
output
1
8,525
5
17,051
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Barbara was late for her math class so as a punishment the teacher made her solve the task on a sheet of paper. Barbara looked at the sheet of paper and only saw n numbers a_1, a_2, …, a_n witho...
instruction
0
8,567
5
17,134
No
output
1
8,567
5
17,135
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Barbara was late for her math class so as a punishment the teacher made her solve the task on a sheet of paper. Barbara looked at the sheet of paper and only saw n numbers a_1, a_2, …, a_n witho...
instruction
0
8,568
5
17,136
No
output
1
8,568
5
17,137
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array a of n integers. Find the number of pairs (i, j) (1 ≤ i < j ≤ n) where the sum of a_i + a_j is greater than or equal to l and less than or equal to r (that is, l ≤ a_i + a...
instruction
0
8,600
5
17,200
Yes
output
1
8,600
5
17,201
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array a of n integers. Find the number of pairs (i, j) (1 ≤ i < j ≤ n) where the sum of a_i + a_j is greater than or equal to l and less than or equal to r (that is, l ≤ a_i + a...
instruction
0
8,601
5
17,202
Yes
output
1
8,601
5
17,203
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array a of n integers. Find the number of pairs (i, j) (1 ≤ i < j ≤ n) where the sum of a_i + a_j is greater than or equal to l and less than or equal to r (that is, l ≤ a_i + a...
instruction
0
8,602
5
17,204
Yes
output
1
8,602
5
17,205
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array a of n integers. Find the number of pairs (i, j) (1 ≤ i < j ≤ n) where the sum of a_i + a_j is greater than or equal to l and less than or equal to r (that is, l ≤ a_i + a...
instruction
0
8,603
5
17,206
No
output
1
8,603
5
17,207
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array a of n integers. Find the number of pairs (i, j) (1 ≤ i < j ≤ n) where the sum of a_i + a_j is greater than or equal to l and less than or equal to r (that is, l ≤ a_i + a...
instruction
0
8,604
5
17,208
No
output
1
8,604
5
17,209
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array a of n integers. Find the number of pairs (i, j) (1 ≤ i < j ≤ n) where the sum of a_i + a_j is greater than or equal to l and less than or equal to r (that is, l ≤ a_i + a...
instruction
0
8,605
5
17,210
No
output
1
8,605
5
17,211
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array a of n integers. Find the number of pairs (i, j) (1 ≤ i < j ≤ n) where the sum of a_i + a_j is greater than or equal to l and less than or equal to r (that is, l ≤ a_i + a...
instruction
0
8,606
5
17,212
No
output
1
8,606
5
17,213
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya has found a piece of paper with an array written on it. The array consists of n integers a1, a2, ..., an. Vasya noticed that the following condition holds for the array ai ≤ ai + 1 ≤ 2·ai for any positive integer i (i < n). Vasya want...
instruction
0
8,610
5
17,220
Tags: greedy, math Correct Solution: ``` n=int(input()) b=list(map(int,input().split())) s=0 res=[] j=n-1 while(j>=0): if s<=0: s+=b[j] res.append(1) else: s-=b[j] res.append(0) j+=-1 res.reverse() if s>=0: for j in res: if j: print("+",end="") ...
output
1
8,610
5
17,221
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya has found a piece of paper with an array written on it. The array consists of n integers a1, a2, ..., an. Vasya noticed that the following condition holds for the array ai ≤ ai + 1 ≤ 2·ai for any positive integer i (i < n). Vasya want...
instruction
0
8,612
5
17,224
Tags: greedy, math Correct Solution: ``` n = int(input()) arr = list(map(int, input().split())) if n == 1: print('+') elif n == 2: print('-+') else: ans = ['+'] cur = arr[-1] for i in range(n - 2, -1, -1): if cur > 0: cur -= arr[i] ans.append('-') else: ...
output
1
8,612
5
17,225
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya has found a piece of paper with an array written on it. The array consists of n integers a1, a2, ..., an. Vasya noticed that the following condition holds for the array ai ≤ ai + 1 ≤ 2·ai for any positive integer i (i < n). Vasya want...
instruction
0
8,613
5
17,226
Tags: greedy, math Correct Solution: ``` # ---------------------------iye ha aam zindegi--------------------------------------------- import math import random import heapq, bisect import sys from collections import deque, defaultdict from fractions import Fraction import sys import threading from collections import de...
output
1
8,613
5
17,227
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya has found a piece of paper with an array written on it. The array consists of n integers a1, a2, ..., an. Vasya noticed that the following condition holds for the array ai ≤ ai + 1 ≤ 2·ai for any positive integer i (i < n). Vasya want...
instruction
0
8,614
5
17,228
Tags: greedy, math Correct Solution: ``` n = int(input()) a = list(map(int, input().split())) r = [0] * n s = 0 for i in range(n - 1, -1, -1): if abs(s + a[i]) <= a[i]: s += a[i] else: s -= a[i] r[i] = 1 if s<0: print(''.join(['-', '+'][i] for i in r)) else: print(''.join(['+', '...
output
1
8,614
5
17,229
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya has found a piece of paper with an array written on it. The array consists of n integers a1, a2, ..., an. Vasya noticed that the following condition holds for the array ai ≤ ai + 1 ≤ 2·ai for any positive integer i (i < n). Vasya want...
instruction
0
8,616
5
17,232
Tags: greedy, math Correct Solution: ``` def invert(s): t = '' for i in s: if(i =='+'): t += '-' else: t += '+' #print(s,t) return t n = int(input()) if(n==1): print('+') exit() a=list(map(int,input().split())) cur = a[-1] s = '+' for i in range(n-2,0,-...
output
1
8,616
5
17,233
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya has found a piece of paper with an array written on it. The array consists of n integers a1, a2, ..., an. Vasya noticed that the following condition holds for the array ai ≤ ai + 1 ≤ 2·ai ...
instruction
0
8,617
5
17,234
Yes
output
1
8,617
5
17,235
Evaluate the correctness of the submitted Python 2 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya has found a piece of paper with an array written on it. The array consists of n integers a1, a2, ..., an. Vasya noticed that the following condition holds for the array ai ≤ ai + 1 ≤ 2·ai ...
instruction
0
8,618
5
17,236
Yes
output
1
8,618
5
17,237
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya has found a piece of paper with an array written on it. The array consists of n integers a1, a2, ..., an. Vasya noticed that the following condition holds for the array ai ≤ ai + 1 ≤ 2·ai ...
instruction
0
8,619
5
17,238
No
output
1
8,619
5
17,239
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya has found a piece of paper with an array written on it. The array consists of n integers a1, a2, ..., an. Vasya noticed that the following condition holds for the array ai ≤ ai + 1 ≤ 2·ai ...
instruction
0
8,620
5
17,240
No
output
1
8,620
5
17,241
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya has found a piece of paper with an array written on it. The array consists of n integers a1, a2, ..., an. Vasya noticed that the following condition holds for the array ai ≤ ai + 1 ≤ 2·ai ...
instruction
0
8,621
5
17,242
No
output
1
8,621
5
17,243
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya has found a piece of paper with an array written on it. The array consists of n integers a1, a2, ..., an. Vasya noticed that the following condition holds for the array ai ≤ ai + 1 ≤ 2·ai ...
instruction
0
8,622
5
17,244
No
output
1
8,622
5
17,245
Provide a correct Python 3 solution for this coding contest problem. Example Input 3 3 0 1 Output 2
instruction
0
9,005
5
18,010
"Correct Solution: ``` n=int(input()) d=''.join(''.join(input().split())for i in[0]*(n//19+(n%19!=0))) i=0 while 1: if d.find(str(i))==-1: print(i) exit() i+=1 ```
output
1
9,005
5
18,011