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Provide a correct Python 3 solution for this coding contest problem. We have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller. (The operation is the same as the one in Problem D.) * Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1. It can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations. You are given the sequence a_i. Find the number of times we will perform the above operation. Constraints * 2 ≤ N ≤ 50 * 0 ≤ a_i ≤ 10^{16} + 1000 Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the number of times the operation will be performed. Examples Input 4 3 3 3 3 Output 0 Input 3 1 0 3 Output 1 Input 2 2 2 Output 2 Input 7 27 0 0 0 0 0 0 Output 3 Input 10 1000 193 256 777 0 1 1192 1234567891011 48 425 Output 1234567894848
instruction
0
67,095
5
134,190
"Correct Solution: ``` import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools sys.setrecursionlimit(10**7) inf = 10**20 gosa = 1.0 / 10**9 mod = 10**9 + 7 def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return input() def main(): N = I() a = LI() r = 0 f = True while f: f = False for i in range(N): if a[i] < N: continue f = True t = a[i] // N r += t for j in range(N): if i == j: continue a[j] += t a[i] -= t * N return r print(main()) ```
output
1
67,095
5
134,191
Provide a correct Python 3 solution for this coding contest problem. We have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller. (The operation is the same as the one in Problem D.) * Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1. It can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations. You are given the sequence a_i. Find the number of times we will perform the above operation. Constraints * 2 ≤ N ≤ 50 * 0 ≤ a_i ≤ 10^{16} + 1000 Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the number of times the operation will be performed. Examples Input 4 3 3 3 3 Output 0 Input 3 1 0 3 Output 1 Input 2 2 2 Output 2 Input 7 27 0 0 0 0 0 0 Output 3 Input 10 1000 193 256 777 0 1 1192 1234567891011 48 425 Output 1234567894848
instruction
0
67,096
5
134,192
"Correct Solution: ``` n = int(input()) A = list(int(x) for x in input().split()) ans = 0 while max(A) >= n: m = max(A) index = A.index(m) count = m // n ans += count A = [a + count for a in A] A[index] -= n * count + count print(ans) ```
output
1
67,096
5
134,193
Provide a correct Python 3 solution for this coding contest problem. We have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller. (The operation is the same as the one in Problem D.) * Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1. It can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations. You are given the sequence a_i. Find the number of times we will perform the above operation. Constraints * 2 ≤ N ≤ 50 * 0 ≤ a_i ≤ 10^{16} + 1000 Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the number of times the operation will be performed. Examples Input 4 3 3 3 3 Output 0 Input 3 1 0 3 Output 1 Input 2 2 2 Output 2 Input 7 27 0 0 0 0 0 0 Output 3 Input 10 1000 193 256 777 0 1 1192 1234567891011 48 425 Output 1234567894848
instruction
0
67,097
5
134,194
"Correct Solution: ``` # https://pitsbuffersolution.com/compro/atcoder/arc079e.php def main(): N = int(input()) *a, = map(int, input().split()) tot = sum(a) def is_ok(k): b = (x + k - (N - 1) for x in a) cnt = 0 for x in b: cnt += (x + N) // (N + 1) return cnt <= k ret = 0 k = max(0, tot - N * (N - 1)) while k <= tot: if is_ok(k): ret = k break k += 1 print(ret) if __name__ == '__main__': main() ```
output
1
67,097
5
134,195
Provide a correct Python 3 solution for this coding contest problem. We have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller. (The operation is the same as the one in Problem D.) * Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1. It can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations. You are given the sequence a_i. Find the number of times we will perform the above operation. Constraints * 2 ≤ N ≤ 50 * 0 ≤ a_i ≤ 10^{16} + 1000 Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the number of times the operation will be performed. Examples Input 4 3 3 3 3 Output 0 Input 3 1 0 3 Output 1 Input 2 2 2 Output 2 Input 7 27 0 0 0 0 0 0 Output 3 Input 10 1000 193 256 777 0 1 1192 1234567891011 48 425 Output 1234567894848
instruction
0
67,098
5
134,196
"Correct Solution: ``` n = int(input()) a = list(map(int, input().split())) p = 0 q = 0 for x in a: q += x p = max(0, q-n*(n-1)) for y in range(p, q+1): z = 0 for x in a: z += (x+y+1)//(n+1) if y >= z: print(y) break ```
output
1
67,098
5
134,197
Provide a correct Python 3 solution for this coding contest problem. We have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller. (The operation is the same as the one in Problem D.) * Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1. It can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations. You are given the sequence a_i. Find the number of times we will perform the above operation. Constraints * 2 ≤ N ≤ 50 * 0 ≤ a_i ≤ 10^{16} + 1000 Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the number of times the operation will be performed. Examples Input 4 3 3 3 3 Output 0 Input 3 1 0 3 Output 1 Input 2 2 2 Output 2 Input 7 27 0 0 0 0 0 0 Output 3 Input 10 1000 193 256 777 0 1 1192 1234567891011 48 425 Output 1234567894848
instruction
0
67,099
5
134,198
"Correct Solution: ``` import sys sys.setrecursionlimit(10**7) readline = sys.stdin.buffer.readline def readstr():return readline().rstrip().decode() def readstrs():return list(readline().decode().split()) def readint():return int(readline()) def readints():return list(map(int,readline().split())) def printrows(x):print('\n'.join(map(str,x))) def printline(x):print(' '.join(map(str,x))) from math import ceil n = readint() a = readints() ans = 0 for i in range(n): a.sort() if a[-1]<n: break ans += 1 for j in range(n-1): a[j]+=1 a[-1]-=n a.sort() while a[-1]-a[0]>n+1: x = ceil((a[-1]-a[0]-n-1)/(n+1)) ans += x for j in range(n-1): a[j] += x a[-1] -= n*x a.sort() if a[-1]>n: ans += (a[0]-n+1)*n A = a[0] for i in range(n): a[i] -= A-n+1 while a[-1]>=n: ans += 1 for j in range(n-1): a[j]+=1 a[-1]-=n a.sort() print(ans) ```
output
1
67,099
5
134,199
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller. (The operation is the same as the one in Problem D.) * Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1. It can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations. You are given the sequence a_i. Find the number of times we will perform the above operation. Constraints * 2 ≤ N ≤ 50 * 0 ≤ a_i ≤ 10^{16} + 1000 Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the number of times the operation will be performed. Examples Input 4 3 3 3 3 Output 0 Input 3 1 0 3 Output 1 Input 2 2 2 Output 2 Input 7 27 0 0 0 0 0 0 Output 3 Input 10 1000 193 256 777 0 1 1192 1234567891011 48 425 Output 1234567894848 Submitted Solution: ``` N=int(input()) a=[int(i) for i in input().split()] ans=0 while True: f=0 for i in range(N): if a[i]>=N: d=a[i]//N ans+=d a[i]%=N for j in range(N): if i!=j: a[j]+=d else: f+=1 if f==N: break print(ans) ```
instruction
0
67,100
5
134,200
Yes
output
1
67,100
5
134,201
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller. (The operation is the same as the one in Problem D.) * Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1. It can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations. You are given the sequence a_i. Find the number of times we will perform the above operation. Constraints * 2 ≤ N ≤ 50 * 0 ≤ a_i ≤ 10^{16} + 1000 Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the number of times the operation will be performed. Examples Input 4 3 3 3 3 Output 0 Input 3 1 0 3 Output 1 Input 2 2 2 Output 2 Input 7 27 0 0 0 0 0 0 Output 3 Input 10 1000 193 256 777 0 1 1192 1234567891011 48 425 Output 1234567894848 Submitted Solution: ``` N = int(input()) A = list(map(int,input().split())) count = 0 flag = True while flag: c = [0]*N for i in range(N): c[i] = A[i]//N A[i] %= N S = sum(c) flag = False for i in range(N): A[i]+=S-c[i] if A[i]>=N: flag=True count += S print(count) ```
instruction
0
67,101
5
134,202
Yes
output
1
67,101
5
134,203
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller. (The operation is the same as the one in Problem D.) * Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1. It can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations. You are given the sequence a_i. Find the number of times we will perform the above operation. Constraints * 2 ≤ N ≤ 50 * 0 ≤ a_i ≤ 10^{16} + 1000 Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the number of times the operation will be performed. Examples Input 4 3 3 3 3 Output 0 Input 3 1 0 3 Output 1 Input 2 2 2 Output 2 Input 7 27 0 0 0 0 0 0 Output 3 Input 10 1000 193 256 777 0 1 1192 1234567891011 48 425 Output 1234567894848 Submitted Solution: ``` N = int(input()) A = list(map(int, input().split())) def judge(k): cnt = sum(max((a+k+1)//(N+1),0) for a in A) return cnt <= k if judge(0): print(0) exit(0) low = 0 high = 10**18 while low + 1 < high: mid = (low+high)//2 if judge(mid): high = mid else: low = mid r = high for i in range(max(r-N*N,0),r): if judge(i): r = i break print(r) ```
instruction
0
67,102
5
134,204
Yes
output
1
67,102
5
134,205
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller. (The operation is the same as the one in Problem D.) * Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1. It can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations. You are given the sequence a_i. Find the number of times we will perform the above operation. Constraints * 2 ≤ N ≤ 50 * 0 ≤ a_i ≤ 10^{16} + 1000 Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the number of times the operation will be performed. Examples Input 4 3 3 3 3 Output 0 Input 3 1 0 3 Output 1 Input 2 2 2 Output 2 Input 7 27 0 0 0 0 0 0 Output 3 Input 10 1000 193 256 777 0 1 1192 1234567891011 48 425 Output 1234567894848 Submitted Solution: ``` N = int(input()) A = list(map(int, input().split())) ans = 0 while True: if all(map(lambda x: x < N, A)): break temp = 0 num = [0] * N for i in range(N): temp += A[i] // N num[i] = A[i] // N A[i] %= N ans += temp A = [a + temp - n for a, n in zip(A, num)] print(ans) ```
instruction
0
67,103
5
134,206
Yes
output
1
67,103
5
134,207
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller. (The operation is the same as the one in Problem D.) * Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1. It can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations. You are given the sequence a_i. Find the number of times we will perform the above operation. Constraints * 2 ≤ N ≤ 50 * 0 ≤ a_i ≤ 10^{16} + 1000 Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the number of times the operation will be performed. Examples Input 4 3 3 3 3 Output 0 Input 3 1 0 3 Output 1 Input 2 2 2 Output 2 Input 7 27 0 0 0 0 0 0 Output 3 Input 10 1000 193 256 777 0 1 1192 1234567891011 48 425 Output 1234567894848 Submitted Solution: ``` import sys input = sys.stdin.readline N = int(input()) a = list(map(int, input().split())) if max(a) < N: print(0) exit(0) ng = 0 ok = max(a) * N def check(x): c = 0 for i in range(N): c += max(-(-(a[i] + x - N + 1) // (N + 1)), 0) return x >= c while ok - ng > 1: m = (ok + ng) // 2 if check(m): ok = m else: ng = m res = ok + 0 ok = 0 ng = -(-res // N) while ng - ok > 1: m = (ok + ng) // 2 if check(res - m * N): ok = m else: ng = m res -= ok * N print(res) ```
instruction
0
67,104
5
134,208
No
output
1
67,104
5
134,209
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller. (The operation is the same as the one in Problem D.) * Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1. It can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations. You are given the sequence a_i. Find the number of times we will perform the above operation. Constraints * 2 ≤ N ≤ 50 * 0 ≤ a_i ≤ 10^{16} + 1000 Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the number of times the operation will be performed. Examples Input 4 3 3 3 3 Output 0 Input 3 1 0 3 Output 1 Input 2 2 2 Output 2 Input 7 27 0 0 0 0 0 0 Output 3 Input 10 1000 193 256 777 0 1 1192 1234567891011 48 425 Output 1234567894848 Submitted Solution: ``` n = int(input()) a = list(map(int, input().split())) a = sorted(a, key=lambda x: -x) x = (a[0] - a[1]) // (n + 1) def check(): global a global x if max(a) <= n - 1: print(x) exit(0) def operation(): global a global x x += 1 i = a.index(max(a)) for j in range(n): if j != i: a[j] += 1 a[i] -= n check() a[0] -= x * n for i in range(1, n): a[i] += x check() for i in range(1000): operation() save = a[:] difs = [a[i] - a[i - 1] for i in range(1, n)] #print('searching for cycles', max(difs)) c = 0 while True: c += 1 operation() d = [a[i] - a[i - 1] for i in range(1, n)] #print(max(d)) if d == difs: break #print('cycle found') i = a.index(min(a)) diff_by_c = save[i] - a[i] # svakih c se smanji za diff_by_c diff = max(0, a[i] - n) phases = diff // diff_by_c x += c * phases for i in range(n): a[i] -= phases * diff_by_c check() while True: operation() ```
instruction
0
67,105
5
134,210
No
output
1
67,105
5
134,211
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller. (The operation is the same as the one in Problem D.) * Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1. It can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations. You are given the sequence a_i. Find the number of times we will perform the above operation. Constraints * 2 ≤ N ≤ 50 * 0 ≤ a_i ≤ 10^{16} + 1000 Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the number of times the operation will be performed. Examples Input 4 3 3 3 3 Output 0 Input 3 1 0 3 Output 1 Input 2 2 2 Output 2 Input 7 27 0 0 0 0 0 0 Output 3 Input 10 1000 193 256 777 0 1 1192 1234567891011 48 425 Output 1234567894848 Submitted Solution: ``` N = int(input()) A = list(map(int,input().split())) def check(x): count = 0 for i in range(N): a = max(A[i] + x - N + 1,0) #print(a) if a%(N+1)==0: count += a//(N+1) else: count += a//(N+1) + 1 return count <= x l = 0 r = 10**17 if check(l): print(l) else: while r-l>1: if check((l+r)//2): r = (l+r)//2 else: l = (l+r)//2 print(r) ```
instruction
0
67,106
5
134,212
No
output
1
67,106
5
134,213
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller. (The operation is the same as the one in Problem D.) * Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1. It can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations. You are given the sequence a_i. Find the number of times we will perform the above operation. Constraints * 2 ≤ N ≤ 50 * 0 ≤ a_i ≤ 10^{16} + 1000 Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the number of times the operation will be performed. Examples Input 4 3 3 3 3 Output 0 Input 3 1 0 3 Output 1 Input 2 2 2 Output 2 Input 7 27 0 0 0 0 0 0 Output 3 Input 10 1000 193 256 777 0 1 1192 1234567891011 48 425 Output 1234567894848 Submitted Solution: ``` import sys def bisect_left_callable(fn, x, lo, hi): """ lo から hi-1 のうち、fn の結果が x 以上となる、最も左の値 bisect.bisect_left と同じ https://docs.python.org/ja/3/library/bisect.html :param callable fn: :param x: :param int lo: 最小値 :param int hi: 最大値 + 1 :return: lo <= ret <= hi """ while lo < hi: mid = (lo + hi) // 2 if fn(mid) < x: lo = mid + 1 else: hi = mid return lo sys.setrecursionlimit(100000) INF = float('inf') N = int(sys.stdin.readline()) A = list(map(int, sys.stdin.readline().split())) MAX = 10 ** 20 def check(k): """ :param int k: :return: k 回操作して条件を満たせば 0、k が大きすぎたらプラス、小さすぎたらマイナス """ # k を全体に足す # N + 1 をちょうど k 回引ければそれが答え li = [a + k for a in A] sub = 0 for a in li: sub += (a + 1) // (N + 1) return k - sub if max(A) < N: print(0) exit() # このへんに答えがある ans = bisect_left_callable(check, 0, 1, MAX) # このへん小さい順に全部調べる(あたまわるい) ans = max(1, ans - 100) for i in range(200): if check(ans + i) == 0: print(ans + i) break ```
instruction
0
67,107
5
134,214
No
output
1
67,107
5
134,215
Provide a correct Python 3 solution for this coding contest problem. For a dynamic list $L$ of integers, perform a sequence of the following operations. $L$ has a special element called END at the end of the list and an element of $L$ is indicated by a cursor. * insert($x$): Insert $x$ before the element indicated by the cursor. After this operation, the cursor points the inserted element. * move($d$): Move the cursor to the end by $d$, if $d$ is positive. Move the cursor to the front by $d$, if $d$ is negative. * erase(): Delete the element indicated by the cursor. After this operation, the cursor points the element next to the deleted element. In case there is no such element, the cursor should point END. In the initial state, $L$ is empty and the cursor points END. Constraints * $1 \leq q \leq 500,000$ * The cursor indicates an element of $L$ or END during the operations * Erase operation will not given when the cursor points END * $-1,000,000,000 \leq x \leq 1,000,000,000$ * Moving distance of the cursor ($\sum{|d|}$) does not exceed 1,000,000 * $L$ is not empty after performing all operations Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $d$ or 2 where the first digits 0, 1 and 2 represent insert, move and erase operations respectively. Output Print all elements of the list in order after performing given operations. Print an element in a line. Example Input 5 0 1 0 2 0 3 1 1 2 Output 3 1
instruction
0
67,235
5
134,470
"Correct Solution: ``` class Node: def __init__(self, left, right, date): self.left = left self.right = right self.date = date root = Node(None, None, None) cur = root.right = Node(root, None, None) def insert(x, cur): cur.left.right = cur.left = cur = Node(cur.left,cur, x) return cur def move(x, cur): d = int(x[0]) if d > 0: for _ in range(d): cur = cur.right else: for _ in range(-d): cur = cur.left return cur def erase(_,cur): cur.right.left = cur.left cur.left.right = cur.right cur = cur.right return cur C = {'0':insert, '1':move, '2':erase} n = int(input()) for _ in range(n): query = input().split() cur = C[query[0]](query[1:], cur) ans = [] it = root.right while it.right: ans.append(it.date) it = it.right for i in range(len(ans)): print(ans[i][0]) ```
output
1
67,235
5
134,471
Provide a correct Python 3 solution for this coding contest problem. For a dynamic list $L$ of integers, perform a sequence of the following operations. $L$ has a special element called END at the end of the list and an element of $L$ is indicated by a cursor. * insert($x$): Insert $x$ before the element indicated by the cursor. After this operation, the cursor points the inserted element. * move($d$): Move the cursor to the end by $d$, if $d$ is positive. Move the cursor to the front by $d$, if $d$ is negative. * erase(): Delete the element indicated by the cursor. After this operation, the cursor points the element next to the deleted element. In case there is no such element, the cursor should point END. In the initial state, $L$ is empty and the cursor points END. Constraints * $1 \leq q \leq 500,000$ * The cursor indicates an element of $L$ or END during the operations * Erase operation will not given when the cursor points END * $-1,000,000,000 \leq x \leq 1,000,000,000$ * Moving distance of the cursor ($\sum{|d|}$) does not exceed 1,000,000 * $L$ is not empty after performing all operations Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $d$ or 2 where the first digits 0, 1 and 2 represent insert, move and erase operations respectively. Output Print all elements of the list in order after performing given operations. Print an element in a line. Example Input 5 0 1 0 2 0 3 1 1 2 Output 3 1
instruction
0
67,236
5
134,472
"Correct Solution: ``` def solve(): from sys import stdin f_i = stdin q = f_i.readline() d = 0 from collections import deque L = deque() for l in f_i: if l[0] == '0': L.append(l[2:]) elif l[0] == '1': r = int(l[2:]) L.rotate(r) d -= r else: L.pop() L.rotate(d) L.reverse() print(''.join(L), end='') solve() ```
output
1
67,236
5
134,473
Provide a correct Python 3 solution for this coding contest problem. For a dynamic list $L$ of integers, perform a sequence of the following operations. $L$ has a special element called END at the end of the list and an element of $L$ is indicated by a cursor. * insert($x$): Insert $x$ before the element indicated by the cursor. After this operation, the cursor points the inserted element. * move($d$): Move the cursor to the end by $d$, if $d$ is positive. Move the cursor to the front by $d$, if $d$ is negative. * erase(): Delete the element indicated by the cursor. After this operation, the cursor points the element next to the deleted element. In case there is no such element, the cursor should point END. In the initial state, $L$ is empty and the cursor points END. Constraints * $1 \leq q \leq 500,000$ * The cursor indicates an element of $L$ or END during the operations * Erase operation will not given when the cursor points END * $-1,000,000,000 \leq x \leq 1,000,000,000$ * Moving distance of the cursor ($\sum{|d|}$) does not exceed 1,000,000 * $L$ is not empty after performing all operations Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $d$ or 2 where the first digits 0, 1 and 2 represent insert, move and erase operations respectively. Output Print all elements of the list in order after performing given operations. Print an element in a line. Example Input 5 0 1 0 2 0 3 1 1 2 Output 3 1
instruction
0
67,237
5
134,474
"Correct Solution: ``` from sys import stdin class LinkedList(): def __init__(self): self.head = [None, None, None] self.head[1] = self.pos = self.tail = [self.head, None, None] def insert(self, x): temp = [self.pos[0], self.pos, x] self.pos[0][1] = self.pos[0] = self.pos = [self.pos[0], self.pos, x] def move_right(self, d): for _ in range(d): self.pos = self.pos[1] def move_left(self, d): for _ in range(d): self.pos = self.pos[0] def move(self, d): if d > 0: self.move_right(d) else: self.move_left(d * -1) def erase(self): self.pos[1][0] = self.pos[0] self.pos = self.pos[0][1] = self.pos[1] def to_list(self): index = self.head[1] out = [] while(index[1] is not None): out.append(index[2]) index = index[1] return out n = stdin.readline() queries = stdin.readlines() ll = LinkedList() #count = 0 for query in queries: #print(count) #count += 1 query = query.split() if query[0] == '0': ll.insert(query[1]) elif query[0] == '1': ll.move(int(query[1])) else: ll.erase() print('\n'.join(ll.to_list())) ```
output
1
67,237
5
134,475
Provide a correct Python 3 solution for this coding contest problem. For a dynamic list $L$ of integers, perform a sequence of the following operations. $L$ has a special element called END at the end of the list and an element of $L$ is indicated by a cursor. * insert($x$): Insert $x$ before the element indicated by the cursor. After this operation, the cursor points the inserted element. * move($d$): Move the cursor to the end by $d$, if $d$ is positive. Move the cursor to the front by $d$, if $d$ is negative. * erase(): Delete the element indicated by the cursor. After this operation, the cursor points the element next to the deleted element. In case there is no such element, the cursor should point END. In the initial state, $L$ is empty and the cursor points END. Constraints * $1 \leq q \leq 500,000$ * The cursor indicates an element of $L$ or END during the operations * Erase operation will not given when the cursor points END * $-1,000,000,000 \leq x \leq 1,000,000,000$ * Moving distance of the cursor ($\sum{|d|}$) does not exceed 1,000,000 * $L$ is not empty after performing all operations Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $d$ or 2 where the first digits 0, 1 and 2 represent insert, move and erase operations respectively. Output Print all elements of the list in order after performing given operations. Print an element in a line. Example Input 5 0 1 0 2 0 3 1 1 2 Output 3 1
instruction
0
67,238
5
134,476
"Correct Solution: ``` from collections import deque import sys n=int(input()) A=deque() cur=0 for i in range(n): S=input() if S[0]=='0': A.append(S[2:]) elif S[0]=='1': A.rotate(int(S[2:])) cur-=int(S[2:]) elif S[0]=='2': A.pop() A.rotate(cur) A.reverse() print(*A, sep="\n") ```
output
1
67,238
5
134,477
Provide a correct Python 3 solution for this coding contest problem. For a dynamic list $L$ of integers, perform a sequence of the following operations. $L$ has a special element called END at the end of the list and an element of $L$ is indicated by a cursor. * insert($x$): Insert $x$ before the element indicated by the cursor. After this operation, the cursor points the inserted element. * move($d$): Move the cursor to the end by $d$, if $d$ is positive. Move the cursor to the front by $d$, if $d$ is negative. * erase(): Delete the element indicated by the cursor. After this operation, the cursor points the element next to the deleted element. In case there is no such element, the cursor should point END. In the initial state, $L$ is empty and the cursor points END. Constraints * $1 \leq q \leq 500,000$ * The cursor indicates an element of $L$ or END during the operations * Erase operation will not given when the cursor points END * $-1,000,000,000 \leq x \leq 1,000,000,000$ * Moving distance of the cursor ($\sum{|d|}$) does not exceed 1,000,000 * $L$ is not empty after performing all operations Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $d$ or 2 where the first digits 0, 1 and 2 represent insert, move and erase operations respectively. Output Print all elements of the list in order after performing given operations. Print an element in a line. Example Input 5 0 1 0 2 0 3 1 1 2 Output 3 1
instruction
0
67,239
5
134,478
"Correct Solution: ``` # -*- coding: utf-8 -*- """ Dynamic Arrays and List - List http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ITP2_1_C&lang=jp """ class Node: def __init__(self, value=0): self.key = value self.prev, self.next = None, None class Lst: def __init__(self): self.nil = Node('END') self.nil.next = self.nil self.nil.prev = self.nil self.cur = self.nil def insert(self, value): x = Node(value) x.prev = self.cur.prev self.cur.prev.next = x self.cur.prev = x x.next = self.cur self.cur = x def move(self, d): if d >= 0: for _ in range(d): self.cur = self.cur.next else: for _ in range(abs(d)): self.cur = self.cur.prev def erase(self): if self.cur == self.nil: return p = self.cur.next self.cur.prev.next = self.cur.next self.cur.next.prev = self.cur.prev self.cur = p lst = Lst() for _ in range(int(input())): op, n = (input() + ' 1').split()[:2] if op == '0': lst.insert(int(n)) elif op == '1': lst.move(int(n)) else: lst.erase() cur = lst.nil while cur.next != lst.nil: cur = cur.next print(cur.key) ```
output
1
67,239
5
134,479
Provide a correct Python 3 solution for this coding contest problem. For a dynamic list $L$ of integers, perform a sequence of the following operations. $L$ has a special element called END at the end of the list and an element of $L$ is indicated by a cursor. * insert($x$): Insert $x$ before the element indicated by the cursor. After this operation, the cursor points the inserted element. * move($d$): Move the cursor to the end by $d$, if $d$ is positive. Move the cursor to the front by $d$, if $d$ is negative. * erase(): Delete the element indicated by the cursor. After this operation, the cursor points the element next to the deleted element. In case there is no such element, the cursor should point END. In the initial state, $L$ is empty and the cursor points END. Constraints * $1 \leq q \leq 500,000$ * The cursor indicates an element of $L$ or END during the operations * Erase operation will not given when the cursor points END * $-1,000,000,000 \leq x \leq 1,000,000,000$ * Moving distance of the cursor ($\sum{|d|}$) does not exceed 1,000,000 * $L$ is not empty after performing all operations Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $d$ or 2 where the first digits 0, 1 and 2 represent insert, move and erase operations respectively. Output Print all elements of the list in order after performing given operations. Print an element in a line. Example Input 5 0 1 0 2 0 3 1 1 2 Output 3 1
instruction
0
67,241
5
134,482
"Correct Solution: ``` #http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ITP2_1_C&lang=jp # List from collections import deque #import cProfile #import time import sys input = sys.stdin.readline def loop_proc(): q1 = deque() q2 = deque() l2 = [] cur = 0 rflag = True n = int(input()) cnt = 0 while (cnt < n): cnt += 1 if (rflag == True): l = list(map(int,input().split())) else: l = l2 c = l[0] rflag =True #追加する場合 if ( c == 0 ): d = l[1] #APPEND() & POP()は読み飛ばす if (cnt < n ): l2 = list(map(int,input().split())) if (l2[0] == 2 ): cnt += 1 continue rflag =False q1.append(d) #カーソル移動の場合 elif(c == 1): cur = l[1] if cur < 0 : for i in range(abs(cur)): q1.append(q2.pop()) else: for i in range(abs(cur)): q2.append(q1.pop()) # print (q1,q2) #要素削除の場合 elif(c == 2): q1.pop() while len(q2) != 0 : print (q2.popleft()) while len(q1) != 0 : print (q1.pop()) # for i in wl: # print (i) loop_proc() #pr = cProfile.Profile() #pr.enable() #pr.runcall(loop_proc) #pr.print_stats() ```
output
1
67,241
5
134,483
Provide a correct Python 3 solution for this coding contest problem. For a dynamic list $L$ of integers, perform a sequence of the following operations. $L$ has a special element called END at the end of the list and an element of $L$ is indicated by a cursor. * insert($x$): Insert $x$ before the element indicated by the cursor. After this operation, the cursor points the inserted element. * move($d$): Move the cursor to the end by $d$, if $d$ is positive. Move the cursor to the front by $d$, if $d$ is negative. * erase(): Delete the element indicated by the cursor. After this operation, the cursor points the element next to the deleted element. In case there is no such element, the cursor should point END. In the initial state, $L$ is empty and the cursor points END. Constraints * $1 \leq q \leq 500,000$ * The cursor indicates an element of $L$ or END during the operations * Erase operation will not given when the cursor points END * $-1,000,000,000 \leq x \leq 1,000,000,000$ * Moving distance of the cursor ($\sum{|d|}$) does not exceed 1,000,000 * $L$ is not empty after performing all operations Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $d$ or 2 where the first digits 0, 1 and 2 represent insert, move and erase operations respectively. Output Print all elements of the list in order after performing given operations. Print an element in a line. Example Input 5 0 1 0 2 0 3 1 1 2 Output 3 1
instruction
0
67,242
5
134,484
"Correct Solution: ``` import sys class DLLNode: __slots__ = ['prev', 'next', 'data'] def __init__(self, prev, next, data): self.prev = prev self.next = next self.data = data root = DLLNode(None, None, None) cur = root.next = DLLNode(root, None, None) def insert(x, cur): cur.prev.next = cur.prev = cur = DLLNode(cur.prev, cur, x) return cur def move(x, cur): d = int(x) if d > 0: for _ in range(d): cur = cur.next else: for _ in range(-d): cur = cur.prev return cur def erase(_, cur): cur.next.prev = cur.prev cur.prev.next = cur = cur.next return cur C = {'0': insert, '1': move, '2': erase} sys.stdin.readline() for query in sys.stdin: cur = C[query[0]](query[2:], cur) ans = [] it = root.next while it.next: ans.append(it.data) it = it.next sys.stdout.writelines(ans) ```
output
1
67,242
5
134,485
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a dynamic list $L$ of integers, perform a sequence of the following operations. $L$ has a special element called END at the end of the list and an element of $L$ is indicated by a cursor. * insert($x$): Insert $x$ before the element indicated by the cursor. After this operation, the cursor points the inserted element. * move($d$): Move the cursor to the end by $d$, if $d$ is positive. Move the cursor to the front by $d$, if $d$ is negative. * erase(): Delete the element indicated by the cursor. After this operation, the cursor points the element next to the deleted element. In case there is no such element, the cursor should point END. In the initial state, $L$ is empty and the cursor points END. Constraints * $1 \leq q \leq 500,000$ * The cursor indicates an element of $L$ or END during the operations * Erase operation will not given when the cursor points END * $-1,000,000,000 \leq x \leq 1,000,000,000$ * Moving distance of the cursor ($\sum{|d|}$) does not exceed 1,000,000 * $L$ is not empty after performing all operations Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $d$ or 2 where the first digits 0, 1 and 2 represent insert, move and erase operations respectively. Output Print all elements of the list in order after performing given operations. Print an element in a line. Example Input 5 0 1 0 2 0 3 1 1 2 Output 3 1 Submitted Solution: ``` from collections import deque import sys sys.setrecursionlimit(10 ** 6) int1 = lambda x: int(x) - 1 p2D = lambda x: print(*x, sep="\n") def main(): n=int(input()) sum_d=0 aa=deque() for _ in range(n): qq=list(map(int, input().split())) if qq[0]==0: aa.appendleft(qq[1]) elif qq[0]==1: aa.rotate(-qq[1]) sum_d+=qq[1] else: aa.popleft() aa.rotate(sum_d) for a in aa: print(a) main() ```
instruction
0
67,243
5
134,486
Yes
output
1
67,243
5
134,487
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a dynamic list $L$ of integers, perform a sequence of the following operations. $L$ has a special element called END at the end of the list and an element of $L$ is indicated by a cursor. * insert($x$): Insert $x$ before the element indicated by the cursor. After this operation, the cursor points the inserted element. * move($d$): Move the cursor to the end by $d$, if $d$ is positive. Move the cursor to the front by $d$, if $d$ is negative. * erase(): Delete the element indicated by the cursor. After this operation, the cursor points the element next to the deleted element. In case there is no such element, the cursor should point END. In the initial state, $L$ is empty and the cursor points END. Constraints * $1 \leq q \leq 500,000$ * The cursor indicates an element of $L$ or END during the operations * Erase operation will not given when the cursor points END * $-1,000,000,000 \leq x \leq 1,000,000,000$ * Moving distance of the cursor ($\sum{|d|}$) does not exceed 1,000,000 * $L$ is not empty after performing all operations Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $d$ or 2 where the first digits 0, 1 and 2 represent insert, move and erase operations respectively. Output Print all elements of the list in order after performing given operations. Print an element in a line. Example Input 5 0 1 0 2 0 3 1 1 2 Output 3 1 Submitted Solution: ``` readline = open(0).readline writelines = open(1, 'w').writelines Q = int(readline()) root = [None, None, None] cursor = root[1] = [root, None, None] def insert(x): global cursor cursor[0][1] = cursor[0] = cursor = [cursor[0], cursor, x] def move(d): global cursor if d > 0: for _ in range(d): cursor = cursor[1] else: for _ in range(-d): cursor = cursor[0] def erase(): global cursor cursor[1][0] = cursor[0] cursor[0][1] = cursor = cursor[1] C = [insert, move, erase].__getitem__ for q in range(Q): t, *a = map(int, readline().split()) C(t)(*a) root = root[1] ans = [] while root[1]: ans.append("%d\n" % root[2]) root = root[1] writelines(ans) ```
instruction
0
67,244
5
134,488
Yes
output
1
67,244
5
134,489
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a dynamic list $L$ of integers, perform a sequence of the following operations. $L$ has a special element called END at the end of the list and an element of $L$ is indicated by a cursor. * insert($x$): Insert $x$ before the element indicated by the cursor. After this operation, the cursor points the inserted element. * move($d$): Move the cursor to the end by $d$, if $d$ is positive. Move the cursor to the front by $d$, if $d$ is negative. * erase(): Delete the element indicated by the cursor. After this operation, the cursor points the element next to the deleted element. In case there is no such element, the cursor should point END. In the initial state, $L$ is empty and the cursor points END. Constraints * $1 \leq q \leq 500,000$ * The cursor indicates an element of $L$ or END during the operations * Erase operation will not given when the cursor points END * $-1,000,000,000 \leq x \leq 1,000,000,000$ * Moving distance of the cursor ($\sum{|d|}$) does not exceed 1,000,000 * $L$ is not empty after performing all operations Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $d$ or 2 where the first digits 0, 1 and 2 represent insert, move and erase operations respectively. Output Print all elements of the list in order after performing given operations. Print an element in a line. Example Input 5 0 1 0 2 0 3 1 1 2 Output 3 1 Submitted Solution: ``` import sys from collections import deque input = sys.stdin.readline q = int(input()) ans = deque() cursor = 0 for _ in range(q): query = [int(i) for i in input().split()] if query[0] == 0: ans.appendleft(query[1]) elif query[0] == 1: ans.rotate(-1 * query[1]) cursor += query[1] else: ans.popleft() ans.rotate(cursor) print(*ans, sep="\n") ```
instruction
0
67,245
5
134,490
Yes
output
1
67,245
5
134,491
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a dynamic list $L$ of integers, perform a sequence of the following operations. $L$ has a special element called END at the end of the list and an element of $L$ is indicated by a cursor. * insert($x$): Insert $x$ before the element indicated by the cursor. After this operation, the cursor points the inserted element. * move($d$): Move the cursor to the end by $d$, if $d$ is positive. Move the cursor to the front by $d$, if $d$ is negative. * erase(): Delete the element indicated by the cursor. After this operation, the cursor points the element next to the deleted element. In case there is no such element, the cursor should point END. In the initial state, $L$ is empty and the cursor points END. Constraints * $1 \leq q \leq 500,000$ * The cursor indicates an element of $L$ or END during the operations * Erase operation will not given when the cursor points END * $-1,000,000,000 \leq x \leq 1,000,000,000$ * Moving distance of the cursor ($\sum{|d|}$) does not exceed 1,000,000 * $L$ is not empty after performing all operations Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $d$ or 2 where the first digits 0, 1 and 2 represent insert, move and erase operations respectively. Output Print all elements of the list in order after performing given operations. Print an element in a line. Example Input 5 0 1 0 2 0 3 1 1 2 Output 3 1 Submitted Solution: ``` from collections import deque def main(): m = int(input()) c = 0 dq = deque() for _ in range(m): q = list(map(int,input().split())) if q[0] == 0:dq.appendleft(q[1]) elif q[0] == 1: dq.rotate(-q[1]) c+=q[1] else :dq.popleft() dq.rotate(c) for e in dq:print(e) if __name__ == '__main__': main() ```
instruction
0
67,246
5
134,492
Yes
output
1
67,246
5
134,493
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a dynamic list $L$ of integers, perform a sequence of the following operations. $L$ has a special element called END at the end of the list and an element of $L$ is indicated by a cursor. * insert($x$): Insert $x$ before the element indicated by the cursor. After this operation, the cursor points the inserted element. * move($d$): Move the cursor to the end by $d$, if $d$ is positive. Move the cursor to the front by $d$, if $d$ is negative. * erase(): Delete the element indicated by the cursor. After this operation, the cursor points the element next to the deleted element. In case there is no such element, the cursor should point END. In the initial state, $L$ is empty and the cursor points END. Constraints * $1 \leq q \leq 500,000$ * The cursor indicates an element of $L$ or END during the operations * Erase operation will not given when the cursor points END * $-1,000,000,000 \leq x \leq 1,000,000,000$ * Moving distance of the cursor ($\sum{|d|}$) does not exceed 1,000,000 * $L$ is not empty after performing all operations Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $d$ or 2 where the first digits 0, 1 and 2 represent insert, move and erase operations respectively. Output Print all elements of the list in order after performing given operations. Print an element in a line. Example Input 5 0 1 0 2 0 3 1 1 2 Output 3 1 Submitted Solution: ``` from sys import stdin from collections import deque num = int(input()) list2 = deque() list2.appendleft("END") cur = 0 for i in range(num): cmd = stdin.readline().strip() if cmd[0:1] == "0": if cur == 0: list2.appendleft(cmd[2:]) else: list2.insert(cur,cmd[2:]) elif cmd[0:1] == "1": cur += int(cmd[2:]) else: list2.remove(list2[cur]) list2.remove("END") print(*list2,sep='\n') ```
instruction
0
67,247
5
134,494
No
output
1
67,247
5
134,495
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a dynamic list $L$ of integers, perform a sequence of the following operations. $L$ has a special element called END at the end of the list and an element of $L$ is indicated by a cursor. * insert($x$): Insert $x$ before the element indicated by the cursor. After this operation, the cursor points the inserted element. * move($d$): Move the cursor to the end by $d$, if $d$ is positive. Move the cursor to the front by $d$, if $d$ is negative. * erase(): Delete the element indicated by the cursor. After this operation, the cursor points the element next to the deleted element. In case there is no such element, the cursor should point END. In the initial state, $L$ is empty and the cursor points END. Constraints * $1 \leq q \leq 500,000$ * The cursor indicates an element of $L$ or END during the operations * Erase operation will not given when the cursor points END * $-1,000,000,000 \leq x \leq 1,000,000,000$ * Moving distance of the cursor ($\sum{|d|}$) does not exceed 1,000,000 * $L$ is not empty after performing all operations Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $d$ or 2 where the first digits 0, 1 and 2 represent insert, move and erase operations respectively. Output Print all elements of the list in order after performing given operations. Print an element in a line. Example Input 5 0 1 0 2 0 3 1 1 2 Output 3 1 Submitted Solution: ``` arr = [] cur = 0 q = int(input()) for i in range(q): op = list(map(int, input().split(' '))) if op[0] == 0: arr.insert(cur, op[1]) elif op[0] == 1: cur += op[1] elif op[0] == 2: arr.pop(cur) if len(arr) >= cur: cur = len(arr)-1 for ele in arr: print(ele) ```
instruction
0
67,248
5
134,496
No
output
1
67,248
5
134,497
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a dynamic list $L$ of integers, perform a sequence of the following operations. $L$ has a special element called END at the end of the list and an element of $L$ is indicated by a cursor. * insert($x$): Insert $x$ before the element indicated by the cursor. After this operation, the cursor points the inserted element. * move($d$): Move the cursor to the end by $d$, if $d$ is positive. Move the cursor to the front by $d$, if $d$ is negative. * erase(): Delete the element indicated by the cursor. After this operation, the cursor points the element next to the deleted element. In case there is no such element, the cursor should point END. In the initial state, $L$ is empty and the cursor points END. Constraints * $1 \leq q \leq 500,000$ * The cursor indicates an element of $L$ or END during the operations * Erase operation will not given when the cursor points END * $-1,000,000,000 \leq x \leq 1,000,000,000$ * Moving distance of the cursor ($\sum{|d|}$) does not exceed 1,000,000 * $L$ is not empty after performing all operations Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $d$ or 2 where the first digits 0, 1 and 2 represent insert, move and erase operations respectively. Output Print all elements of the list in order after performing given operations. Print an element in a line. Example Input 5 0 1 0 2 0 3 1 1 2 Output 3 1 Submitted Solution: ``` from sys import stdin num = int(input()) list2 = ["END"] cur = list2.index("END") for i in range(num): cmd = stdin.readline().strip().split() if cmd[0] == "0": if cur == 0: list2.insert(0,cmd[1]) cur = 0 else: list2.insert(cur,cmd[1]) elif cmd[0] == "1": cur += int(cmd[1]) else: tmp = cur list2.pop(cur) cur1 = list2.index("END") if tmp == cur1 - 1: cur = list2.index("END") list2.remove("END") print(*list2,sep='\n') ```
instruction
0
67,249
5
134,498
No
output
1
67,249
5
134,499
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a dynamic list $L$ of integers, perform a sequence of the following operations. $L$ has a special element called END at the end of the list and an element of $L$ is indicated by a cursor. * insert($x$): Insert $x$ before the element indicated by the cursor. After this operation, the cursor points the inserted element. * move($d$): Move the cursor to the end by $d$, if $d$ is positive. Move the cursor to the front by $d$, if $d$ is negative. * erase(): Delete the element indicated by the cursor. After this operation, the cursor points the element next to the deleted element. In case there is no such element, the cursor should point END. In the initial state, $L$ is empty and the cursor points END. Constraints * $1 \leq q \leq 500,000$ * The cursor indicates an element of $L$ or END during the operations * Erase operation will not given when the cursor points END * $-1,000,000,000 \leq x \leq 1,000,000,000$ * Moving distance of the cursor ($\sum{|d|}$) does not exceed 1,000,000 * $L$ is not empty after performing all operations Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $d$ or 2 where the first digits 0, 1 and 2 represent insert, move and erase operations respectively. Output Print all elements of the list in order after performing given operations. Print an element in a line. Example Input 5 0 1 0 2 0 3 1 1 2 Output 3 1 Submitted Solution: ``` import numpy as np if __name__ == '__main__': n = int(input()) npls = np.array(['END']) c = 0 count = 0 for i in range(n): q = input().split() a, b = (q[0], q[1]) if len(q) == 2 else (q[0], None) if a == '0': npls = np.insert(npls, c, b) count += 1 elif a == '1': c += int(b) else: npls = np.delete(npls, c) count -= 1 if c == count: c -= 1 for i in npls: if i != 'END': print(i) else: break ```
instruction
0
67,250
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134,500
No
output
1
67,250
5
134,501
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Learn, learn and learn again — Valera has to do this every day. He is studying at mathematical school, where math is the main discipline. The mathematics teacher loves her discipline very much and tries to cultivate this love in children. That's why she always gives her students large and difficult homework. Despite that Valera is one of the best students, he failed to manage with the new homework. That's why he asks for your help. He has the following task. A sequence of n numbers is given. A prefix of a sequence is the part of the sequence (possibly empty), taken from the start of the sequence. A suffix of a sequence is the part of the sequence (possibly empty), taken from the end of the sequence. It is allowed to sequentially make two operations with the sequence. The first operation is to take some prefix of the sequence and multiply all numbers in this prefix by - 1. The second operation is to take some suffix and multiply all numbers in it by - 1. The chosen prefix and suffix may intersect. What is the maximum total sum of the sequence that can be obtained by applying the described operations? Input The first line contains integer n (1 ≤ n ≤ 105) — amount of elements in the sequence. The second line contains n integers ai ( - 104 ≤ ai ≤ 104) — the sequence itself. Output The first and the only line of the output should contain the answer to the problem. Examples Input 3 -1 -2 -3 Output 6 Input 5 -4 2 0 5 0 Output 11 Input 5 -1 10 -5 10 -2 Output 18 Submitted Solution: ``` n = int(input()) summ = 0 mx = 0 l = [*map(int ,input().split())] for i in l: summ += i if summ < 0: summ = 0 mx = max(summ , mx) summ = 0 for i in l: summ += i print(2*mx-summ) ```
instruction
0
67,589
5
135,178
Yes
output
1
67,589
5
135,179
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Learn, learn and learn again — Valera has to do this every day. He is studying at mathematical school, where math is the main discipline. The mathematics teacher loves her discipline very much and tries to cultivate this love in children. That's why she always gives her students large and difficult homework. Despite that Valera is one of the best students, he failed to manage with the new homework. That's why he asks for your help. He has the following task. A sequence of n numbers is given. A prefix of a sequence is the part of the sequence (possibly empty), taken from the start of the sequence. A suffix of a sequence is the part of the sequence (possibly empty), taken from the end of the sequence. It is allowed to sequentially make two operations with the sequence. The first operation is to take some prefix of the sequence and multiply all numbers in this prefix by - 1. The second operation is to take some suffix and multiply all numbers in it by - 1. The chosen prefix and suffix may intersect. What is the maximum total sum of the sequence that can be obtained by applying the described operations? Input The first line contains integer n (1 ≤ n ≤ 105) — amount of elements in the sequence. The second line contains n integers ai ( - 104 ≤ ai ≤ 104) — the sequence itself. Output The first and the only line of the output should contain the answer to the problem. Examples Input 3 -1 -2 -3 Output 6 Input 5 -4 2 0 5 0 Output 11 Input 5 -1 10 -5 10 -2 Output 18 Submitted Solution: ``` n = int(input()) s = input().split() c = [] for i in range(n): c.append(int(s[i])) lsum= [] rsum = [] sum = 0 for i in range(n): if(i==0): lsum.append(c[0]) else: lsum.append(lsum[i-1]+c[i]) for i in reversed(range(n)): if(i==n-1): rsum.append(c[n-1]) else: rsum.append(rsum[n-i-2]+c[i]) rsum.reverse() for i in range(n): sum += c[i] minval = 0 minrsum = 0 for i in reversed(range(n)): if(i<n-1): minrsum = min(rsum[i+1],minrsum) minval = min(min(rsum[i+1],minrsum)+lsum[i],lsum[i],minval) else: minval = min(lsum[i],minval) for i in range(n): minval = min(rsum[i],minval) '''lsum.sort() rsum.sort() print(lsum) print(rsum) print(sum)''' print(max(sum-2*minval,sum)) ```
instruction
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67,590
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135,180
Yes
output
1
67,590
5
135,181
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Learn, learn and learn again — Valera has to do this every day. He is studying at mathematical school, where math is the main discipline. The mathematics teacher loves her discipline very much and tries to cultivate this love in children. That's why she always gives her students large and difficult homework. Despite that Valera is one of the best students, he failed to manage with the new homework. That's why he asks for your help. He has the following task. A sequence of n numbers is given. A prefix of a sequence is the part of the sequence (possibly empty), taken from the start of the sequence. A suffix of a sequence is the part of the sequence (possibly empty), taken from the end of the sequence. It is allowed to sequentially make two operations with the sequence. The first operation is to take some prefix of the sequence and multiply all numbers in this prefix by - 1. The second operation is to take some suffix and multiply all numbers in it by - 1. The chosen prefix and suffix may intersect. What is the maximum total sum of the sequence that can be obtained by applying the described operations? Input The first line contains integer n (1 ≤ n ≤ 105) — amount of elements in the sequence. The second line contains n integers ai ( - 104 ≤ ai ≤ 104) — the sequence itself. Output The first and the only line of the output should contain the answer to the problem. Examples Input 3 -1 -2 -3 Output 6 Input 5 -4 2 0 5 0 Output 11 Input 5 -1 10 -5 10 -2 Output 18 Submitted Solution: ``` n = int(input()) values = list(map(int, input().split())) best_infix = infix = 0 for x in values: infix = max(0, infix + x) best_infix = max(best_infix, infix) print(2 * best_infix - sum(values)) # Made By Mostafa_Khaled ```
instruction
0
67,591
5
135,182
Yes
output
1
67,591
5
135,183
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Learn, learn and learn again — Valera has to do this every day. He is studying at mathematical school, where math is the main discipline. The mathematics teacher loves her discipline very much and tries to cultivate this love in children. That's why she always gives her students large and difficult homework. Despite that Valera is one of the best students, he failed to manage with the new homework. That's why he asks for your help. He has the following task. A sequence of n numbers is given. A prefix of a sequence is the part of the sequence (possibly empty), taken from the start of the sequence. A suffix of a sequence is the part of the sequence (possibly empty), taken from the end of the sequence. It is allowed to sequentially make two operations with the sequence. The first operation is to take some prefix of the sequence and multiply all numbers in this prefix by - 1. The second operation is to take some suffix and multiply all numbers in it by - 1. The chosen prefix and suffix may intersect. What is the maximum total sum of the sequence that can be obtained by applying the described operations? Input The first line contains integer n (1 ≤ n ≤ 105) — amount of elements in the sequence. The second line contains n integers ai ( - 104 ≤ ai ≤ 104) — the sequence itself. Output The first and the only line of the output should contain the answer to the problem. Examples Input 3 -1 -2 -3 Output 6 Input 5 -4 2 0 5 0 Output 11 Input 5 -1 10 -5 10 -2 Output 18 Submitted Solution: ``` from sys import stdin n = int(stdin.readline()) nums = [int(x) for x in stdin.readline().split()] total = sum(nums)*-1 best = 0 left = 0 right = 0 current = 0 while right < n: while current >= 0 and right < n: current += nums[right] best = max(best,current) right += 1 while current < 0: current -= nums[left] left += 1 best = max(best,current) print(total+best*2) ```
instruction
0
67,592
5
135,184
Yes
output
1
67,592
5
135,185
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Learn, learn and learn again — Valera has to do this every day. He is studying at mathematical school, where math is the main discipline. The mathematics teacher loves her discipline very much and tries to cultivate this love in children. That's why she always gives her students large and difficult homework. Despite that Valera is one of the best students, he failed to manage with the new homework. That's why he asks for your help. He has the following task. A sequence of n numbers is given. A prefix of a sequence is the part of the sequence (possibly empty), taken from the start of the sequence. A suffix of a sequence is the part of the sequence (possibly empty), taken from the end of the sequence. It is allowed to sequentially make two operations with the sequence. The first operation is to take some prefix of the sequence and multiply all numbers in this prefix by - 1. The second operation is to take some suffix and multiply all numbers in it by - 1. The chosen prefix and suffix may intersect. What is the maximum total sum of the sequence that can be obtained by applying the described operations? Input The first line contains integer n (1 ≤ n ≤ 105) — amount of elements in the sequence. The second line contains n integers ai ( - 104 ≤ ai ≤ 104) — the sequence itself. Output The first and the only line of the output should contain the answer to the problem. Examples Input 3 -1 -2 -3 Output 6 Input 5 -4 2 0 5 0 Output 11 Input 5 -1 10 -5 10 -2 Output 18 Submitted Solution: ``` def sumMax(S): tStart = 0 startPos = 0 endPos = 0 somaAtual = S[0] maxSum = S[0] if len(S) <= 0: return 0 else: for i in range(1, len(S)): somaAtual = (somaAtual + S[i]) if (S[i]) > somaAtual: somaAtual = (S[i]) tStart = i if somaAtual >= maxSum: maxSum = somaAtual startPos = tStart endPos = i return maxSum def presa(x): return x * -1 x = int(input()) opa = list(map(int,input().split())) pre = list(map(presa,opa)) print(max(sumMax(opa), sumMax(pre))) ```
instruction
0
67,593
5
135,186
No
output
1
67,593
5
135,187
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Learn, learn and learn again — Valera has to do this every day. He is studying at mathematical school, where math is the main discipline. The mathematics teacher loves her discipline very much and tries to cultivate this love in children. That's why she always gives her students large and difficult homework. Despite that Valera is one of the best students, he failed to manage with the new homework. That's why he asks for your help. He has the following task. A sequence of n numbers is given. A prefix of a sequence is the part of the sequence (possibly empty), taken from the start of the sequence. A suffix of a sequence is the part of the sequence (possibly empty), taken from the end of the sequence. It is allowed to sequentially make two operations with the sequence. The first operation is to take some prefix of the sequence and multiply all numbers in this prefix by - 1. The second operation is to take some suffix and multiply all numbers in it by - 1. The chosen prefix and suffix may intersect. What is the maximum total sum of the sequence that can be obtained by applying the described operations? Input The first line contains integer n (1 ≤ n ≤ 105) — amount of elements in the sequence. The second line contains n integers ai ( - 104 ≤ ai ≤ 104) — the sequence itself. Output The first and the only line of the output should contain the answer to the problem. Examples Input 3 -1 -2 -3 Output 6 Input 5 -4 2 0 5 0 Output 11 Input 5 -1 10 -5 10 -2 Output 18 Submitted Solution: ``` n = int(input()) seq = list(map(int, input().split())) original = [i for i in seq] #---------------------------- # CASO 1: Direta --> Esquerda #---------------------------- sums = [] s = sum(seq) for i, j in enumerate(seq): if i > 0: sums.append(sums[i-1]+(j*-1)) else: sums.append(s+(j*-1)) if s > max(sums): pass else: ind_left_right = sums.index(max(sums)) # print(ind_left_right) for i in range(ind_left_right+1): seq[i] *= -1 sums = [] # s = sum(seq) for i, j in enumerate(reversed(seq)): if i > 0: sums.append(sums[i-1]+(j*-1)) else: sums.append(s+(j*-1)) if s > max(sums): pass else: ind_right_left = list(reversed(sums)).index(max(sums)) for i in range(ind_right_left, len(seq)): seq[i] *= -1 soma1 = sum(seq) #---------------------------- # CASO 2: Esqueda --> Direita #---------------------------- seq = original sums = [] for i, j in enumerate(reversed(seq)): if i > 0: sums.append(sums[i-1]+(j*-1)) else: sums.append(s+(j*-1)) if s > max(sums): pass else: ind_right_left = list(reversed(sums)).index(max(sums)) for i in range(ind_right_left, len(seq)): seq[i] *= -1 sums = [] s = sum(seq) for i, j in enumerate(seq): if i > 0: sums.append(sums[i-1]+(j*-1)) else: sums.append(s+(j*-1)) if s > max(sums): pass else: ind_left_right = sums.index(max(sums)) # print(ind_left_right) for i in range(ind_left_right+1): seq[i] *= -1 soma2 = sum(seq) print(max([soma1, soma2])) ```
instruction
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67,594
5
135,188
No
output
1
67,594
5
135,189
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Learn, learn and learn again — Valera has to do this every day. He is studying at mathematical school, where math is the main discipline. The mathematics teacher loves her discipline very much and tries to cultivate this love in children. That's why she always gives her students large and difficult homework. Despite that Valera is one of the best students, he failed to manage with the new homework. That's why he asks for your help. He has the following task. A sequence of n numbers is given. A prefix of a sequence is the part of the sequence (possibly empty), taken from the start of the sequence. A suffix of a sequence is the part of the sequence (possibly empty), taken from the end of the sequence. It is allowed to sequentially make two operations with the sequence. The first operation is to take some prefix of the sequence and multiply all numbers in this prefix by - 1. The second operation is to take some suffix and multiply all numbers in it by - 1. The chosen prefix and suffix may intersect. What is the maximum total sum of the sequence that can be obtained by applying the described operations? Input The first line contains integer n (1 ≤ n ≤ 105) — amount of elements in the sequence. The second line contains n integers ai ( - 104 ≤ ai ≤ 104) — the sequence itself. Output The first and the only line of the output should contain the answer to the problem. Examples Input 3 -1 -2 -3 Output 6 Input 5 -4 2 0 5 0 Output 11 Input 5 -1 10 -5 10 -2 Output 18 Submitted Solution: ``` n = int(input()) s = input().split() c = [] for i in range(n): c.append(int(s[i])) lsum= [] rsum = [] sum = 0 for i in range(n): if(i==0): lsum.append(c[0]) else: lsum.append(lsum[i-1]+c[i]) for i in reversed(range(n)): if(i==n-1): rsum.append(c[n-1]) else: rsum.append(lsum[i+1]+c[i]) rsum.reverse() for i in range(n): sum += c[i] minval = 0 for i in reversed(range(n)): if(i<n-1): minval = min(min(rsum[i+1:n])+lsum[i],lsum[i],minval) else: minval = min(lsum[i],minval) for i in range(n): minval = min(rsum[i],minval) '''lsum.sort() rsum.sort() print(lsum) print(rsum) print(sum)''' print(max(sum-2*minval,sum)) ```
instruction
0
67,595
5
135,190
No
output
1
67,595
5
135,191
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Learn, learn and learn again — Valera has to do this every day. He is studying at mathematical school, where math is the main discipline. The mathematics teacher loves her discipline very much and tries to cultivate this love in children. That's why she always gives her students large and difficult homework. Despite that Valera is one of the best students, he failed to manage with the new homework. That's why he asks for your help. He has the following task. A sequence of n numbers is given. A prefix of a sequence is the part of the sequence (possibly empty), taken from the start of the sequence. A suffix of a sequence is the part of the sequence (possibly empty), taken from the end of the sequence. It is allowed to sequentially make two operations with the sequence. The first operation is to take some prefix of the sequence and multiply all numbers in this prefix by - 1. The second operation is to take some suffix and multiply all numbers in it by - 1. The chosen prefix and suffix may intersect. What is the maximum total sum of the sequence that can be obtained by applying the described operations? Input The first line contains integer n (1 ≤ n ≤ 105) — amount of elements in the sequence. The second line contains n integers ai ( - 104 ≤ ai ≤ 104) — the sequence itself. Output The first and the only line of the output should contain the answer to the problem. Examples Input 3 -1 -2 -3 Output 6 Input 5 -4 2 0 5 0 Output 11 Input 5 -1 10 -5 10 -2 Output 18 Submitted Solution: ``` def maxmax(vetor,tam): pre=list() sux=list() maxmaxmax=list() prepara=1 suxpara=tam-1 maiorpre = (vetor[0]*-2) + sum(vetor) maiorsux = (vetor[tam-1]*-2) + sum(vetor) for i in range(len(vetor)): pre.append(vetor[i]*(-2)) sux.append(vetor[tam-i-1]*(-2)) if maiorpre < sum(pre)+sum(vetor): maiorpre = sum(pre)+sum(vetor) prepara = i+1 if maiorsux < sum(sux)+sum(vetor): maiorsux = sum(sux)+sum(vetor) suxpara = tam-1-i for i in range(tam): if i < prepara: maxmaxmax.append(vetor[i]*-1) elif i < suxpara: maxmaxmax.append(vetor[i]) else: maxmaxmax.append(vetor[i]*-1) return sum(maxmaxmax) x = int(input()) opa = list(map(int,input().split())) print(maxmax(opa,x)) ```
instruction
0
67,596
5
135,192
No
output
1
67,596
5
135,193
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n numbers a1, a2, ..., an. You can perform at most k operations. For each operation you can multiply one of the numbers by x. We want to make <image> as large as possible, where <image> denotes the bitwise OR. Find the maximum possible value of <image> after performing at most k operations optimally. Input The first line contains three integers n, k and x (1 ≤ n ≤ 200 000, 1 ≤ k ≤ 10, 2 ≤ x ≤ 8). The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ 109). Output Output the maximum value of a bitwise OR of sequence elements after performing operations. Examples Input 3 1 2 1 1 1 Output 3 Input 4 2 3 1 2 4 8 Output 79 Note For the first sample, any possible choice of doing one operation will result the same three numbers 1, 1, 2 so the result is <image>. For the second sample if we multiply 8 by 3 two times we'll get 72. In this case the numbers will become 1, 2, 4, 72 so the OR value will be 79 and is the largest possible result.
instruction
0
67,691
5
135,382
Tags: brute force, greedy Correct Solution: ``` n,k,x = map(int, input().split()) a = list(map(int, input().split())) maxi = 0 moc = x**k p = [0] * (n+2) s = [0] * (n+2) for i in range(1,len(a)+1): p[i] = p[i-1] | a[i-1] for i in range(len(a), 0, -1): s[i] = s[i+1] | a[i-1] for t in range(1, len(a)+1): maxi = max(maxi, p[t-1] | (a[t-1]*moc) | s[t+1]) print(maxi) ```
output
1
67,691
5
135,383
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n numbers a1, a2, ..., an. You can perform at most k operations. For each operation you can multiply one of the numbers by x. We want to make <image> as large as possible, where <image> denotes the bitwise OR. Find the maximum possible value of <image> after performing at most k operations optimally. Input The first line contains three integers n, k and x (1 ≤ n ≤ 200 000, 1 ≤ k ≤ 10, 2 ≤ x ≤ 8). The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ 109). Output Output the maximum value of a bitwise OR of sequence elements after performing operations. Examples Input 3 1 2 1 1 1 Output 3 Input 4 2 3 1 2 4 8 Output 79 Note For the first sample, any possible choice of doing one operation will result the same three numbers 1, 1, 2 so the result is <image>. For the second sample if we multiply 8 by 3 two times we'll get 72. In this case the numbers will become 1, 2, 4, 72 so the OR value will be 79 and is the largest possible result.
instruction
0
67,692
5
135,384
Tags: brute force, greedy Correct Solution: ``` n, k, l = map(int, input().split()) li = [int(x) for x in input().split()] front = [0]*(n+2) back = [0]*(n+2) front[0] = 0|li[0] back[n-1] = 0|li[n-1] for i in range(1,n): front[i] = front[i-1]|li[i] for i in range(n-2,-1,-1): back[i] = back[i+1]|li[i] p = 1 for _ in range(k): p*=l max = -1 for i in range(n): c = front[i-1]|(li[i]*p)|back[i+1] if c > max: max = c print(max) ```
output
1
67,692
5
135,385
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n numbers a1, a2, ..., an. You can perform at most k operations. For each operation you can multiply one of the numbers by x. We want to make <image> as large as possible, where <image> denotes the bitwise OR. Find the maximum possible value of <image> after performing at most k operations optimally. Input The first line contains three integers n, k and x (1 ≤ n ≤ 200 000, 1 ≤ k ≤ 10, 2 ≤ x ≤ 8). The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ 109). Output Output the maximum value of a bitwise OR of sequence elements after performing operations. Examples Input 3 1 2 1 1 1 Output 3 Input 4 2 3 1 2 4 8 Output 79 Note For the first sample, any possible choice of doing one operation will result the same three numbers 1, 1, 2 so the result is <image>. For the second sample if we multiply 8 by 3 two times we'll get 72. In this case the numbers will become 1, 2, 4, 72 so the OR value will be 79 and is the largest possible result.
instruction
0
67,693
5
135,386
Tags: brute force, greedy Correct Solution: ``` import sys #sys.stdin = open("input.txt") #sys.stdout = open("output.txt", "w") n, k, x = (int(x) for x in input().split()) l = [int(x) for x in input().split()] pref = [0] * n suff = [0] * n pref[0] = l[0] for i in range(1, n): pref[i] = pref[i - 1] | l[i] suff[n - 1] = l[n - 1] for i in range(n - 2, -1, -1): suff[i] = suff[i + 1] | l[i] def get_pref(index): if (index < 0): return 0 else: return pref[index] def get_suff(index): if (index >= n): return 0 else: return suff[index] power = x ** k ans = 0 for i in range(n): contender = get_pref(i - 1) | (l[i] * power) | get_suff(i + 1) if (contender > ans): ans = contender print(ans) ```
output
1
67,693
5
135,387
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n numbers a1, a2, ..., an. You can perform at most k operations. For each operation you can multiply one of the numbers by x. We want to make <image> as large as possible, where <image> denotes the bitwise OR. Find the maximum possible value of <image> after performing at most k operations optimally. Input The first line contains three integers n, k and x (1 ≤ n ≤ 200 000, 1 ≤ k ≤ 10, 2 ≤ x ≤ 8). The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ 109). Output Output the maximum value of a bitwise OR of sequence elements after performing operations. Examples Input 3 1 2 1 1 1 Output 3 Input 4 2 3 1 2 4 8 Output 79 Note For the first sample, any possible choice of doing one operation will result the same three numbers 1, 1, 2 so the result is <image>. For the second sample if we multiply 8 by 3 two times we'll get 72. In this case the numbers will become 1, 2, 4, 72 so the OR value will be 79 and is the largest possible result.
instruction
0
67,694
5
135,388
Tags: brute force, greedy Correct Solution: ``` n,k,x=map(int,input().split()) l=list(map(int,input().split())) a=[0]*n b=[0]*n for i in range(1,n): a[i]=a[i-1]|l[i-1] for i in range(1,n): b[n-i-1]=b[-i]|l[-i] nom=0 for i in range(1,n): if l[nom]*(x**k)|a[nom]|b[nom]<l[i]*(x**k)|a[i]|b[i]: nom=i l[nom]*=x**k print(l[nom]|a[nom]|b[nom]) ```
output
1
67,694
5
135,389
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n numbers a1, a2, ..., an. You can perform at most k operations. For each operation you can multiply one of the numbers by x. We want to make <image> as large as possible, where <image> denotes the bitwise OR. Find the maximum possible value of <image> after performing at most k operations optimally. Input The first line contains three integers n, k and x (1 ≤ n ≤ 200 000, 1 ≤ k ≤ 10, 2 ≤ x ≤ 8). The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ 109). Output Output the maximum value of a bitwise OR of sequence elements after performing operations. Examples Input 3 1 2 1 1 1 Output 3 Input 4 2 3 1 2 4 8 Output 79 Note For the first sample, any possible choice of doing one operation will result the same three numbers 1, 1, 2 so the result is <image>. For the second sample if we multiply 8 by 3 two times we'll get 72. In this case the numbers will become 1, 2, 4, 72 so the OR value will be 79 and is the largest possible result.
instruction
0
67,695
5
135,390
Tags: brute force, greedy Correct Solution: ``` n, k, x = map(int, input().split()) a = list(map(int, input().split())) L = [0] * (n + 1) R = [0] * (n + 1) for i in range(1, n + 1): L[i] = a[i - 1] | L[i - 1] for i in range(n - 1, -1, -1): R[i] = a[i] | R[i + 1] ans = max(L[i] | (a[i] * x ** k) | R[i + 1] for i in range(n)) print(ans) ```
output
1
67,695
5
135,391
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n numbers a1, a2, ..., an. You can perform at most k operations. For each operation you can multiply one of the numbers by x. We want to make <image> as large as possible, where <image> denotes the bitwise OR. Find the maximum possible value of <image> after performing at most k operations optimally. Input The first line contains three integers n, k and x (1 ≤ n ≤ 200 000, 1 ≤ k ≤ 10, 2 ≤ x ≤ 8). The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ 109). Output Output the maximum value of a bitwise OR of sequence elements after performing operations. Examples Input 3 1 2 1 1 1 Output 3 Input 4 2 3 1 2 4 8 Output 79 Note For the first sample, any possible choice of doing one operation will result the same three numbers 1, 1, 2 so the result is <image>. For the second sample if we multiply 8 by 3 two times we'll get 72. In this case the numbers will become 1, 2, 4, 72 so the OR value will be 79 and is the largest possible result.
instruction
0
67,696
5
135,392
Tags: brute force, greedy Correct Solution: ``` n, k, x = map(int, input().split()) A = list(map(int, input().split())) L, R = [0]*(n+1), [0]*(n+1) for i in range(n): L[i+1] = A[i] | L[i] for i in range(n-1, -1, -1): R[i] = A[i] | R[i+1] x = x**k ans = 0 for i in range(n): ans = max(ans, L[i] | (A[i]*x) | R[i+1]) print(ans) ```
output
1
67,696
5
135,393
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n numbers a1, a2, ..., an. You can perform at most k operations. For each operation you can multiply one of the numbers by x. We want to make <image> as large as possible, where <image> denotes the bitwise OR. Find the maximum possible value of <image> after performing at most k operations optimally. Input The first line contains three integers n, k and x (1 ≤ n ≤ 200 000, 1 ≤ k ≤ 10, 2 ≤ x ≤ 8). The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ 109). Output Output the maximum value of a bitwise OR of sequence elements after performing operations. Examples Input 3 1 2 1 1 1 Output 3 Input 4 2 3 1 2 4 8 Output 79 Note For the first sample, any possible choice of doing one operation will result the same three numbers 1, 1, 2 so the result is <image>. For the second sample if we multiply 8 by 3 two times we'll get 72. In this case the numbers will become 1, 2, 4, 72 so the OR value will be 79 and is the largest possible result. Submitted Solution: ``` n,k,x=map(int,input().split()) l=list(map(int,input().split())) for j in range(k): nom=0 for i in range(n): if l[nom]*x<l[i]*x: nom=i l[nom]*=x s=0 for x in l: s|=x print(s) ```
instruction
0
67,697
5
135,394
No
output
1
67,697
5
135,395
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n numbers a1, a2, ..., an. You can perform at most k operations. For each operation you can multiply one of the numbers by x. We want to make <image> as large as possible, where <image> denotes the bitwise OR. Find the maximum possible value of <image> after performing at most k operations optimally. Input The first line contains three integers n, k and x (1 ≤ n ≤ 200 000, 1 ≤ k ≤ 10, 2 ≤ x ≤ 8). The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ 109). Output Output the maximum value of a bitwise OR of sequence elements after performing operations. Examples Input 3 1 2 1 1 1 Output 3 Input 4 2 3 1 2 4 8 Output 79 Note For the first sample, any possible choice of doing one operation will result the same three numbers 1, 1, 2 so the result is <image>. For the second sample if we multiply 8 by 3 two times we'll get 72. In this case the numbers will become 1, 2, 4, 72 so the OR value will be 79 and is the largest possible result. Submitted Solution: ``` n, k, x = map(int, input().split()) x **= k prefix = [0] * n sufix = [0] * n arr = list(map(int, input().split())) for i, val in enumerate(arr): prefix[i] = prefix[i - 1] | val arr.reverse() sufix[0] = arr[0] for i, val in enumerate(arr): sufix[i] = sufix[i - 1] | val arr.reverse() ans = max((arr[0] * x) | sufix[n-1], (arr[n-1] * x) | prefix[n-2] ) for i in range(1, n-1): ans = max(ans, prefix[i - 1] | sufix[n - i - 1] | (arr[i] * x)) print(ans) ```
instruction
0
67,698
5
135,396
No
output
1
67,698
5
135,397
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n numbers a1, a2, ..., an. You can perform at most k operations. For each operation you can multiply one of the numbers by x. We want to make <image> as large as possible, where <image> denotes the bitwise OR. Find the maximum possible value of <image> after performing at most k operations optimally. Input The first line contains three integers n, k and x (1 ≤ n ≤ 200 000, 1 ≤ k ≤ 10, 2 ≤ x ≤ 8). The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ 109). Output Output the maximum value of a bitwise OR of sequence elements after performing operations. Examples Input 3 1 2 1 1 1 Output 3 Input 4 2 3 1 2 4 8 Output 79 Note For the first sample, any possible choice of doing one operation will result the same three numbers 1, 1, 2 so the result is <image>. For the second sample if we multiply 8 by 3 two times we'll get 72. In this case the numbers will become 1, 2, 4, 72 so the OR value will be 79 and is the largest possible result. Submitted Solution: ``` n, k, x = map(int, input().split()) x **= k prefix = [0] * n sufix = [0] * n arr = list(map(int, input().split())) prefix[0] = arr[0] for i, val in enumerate(arr): prefix[i] = prefix[i - 1] | val arr.reverse() sufix[0] = arr[0] for i, val in enumerate(arr): sufix[i] = sufix[i - 1] | val ans = -1e9 arr.reverse() for i in range(n): ans = max(ans, prefix[i - 1] | sufix[n - i - 1] | (arr[i] * x)) print(ans) ```
instruction
0
67,699
5
135,398
No
output
1
67,699
5
135,399
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n numbers a1, a2, ..., an. You can perform at most k operations. For each operation you can multiply one of the numbers by x. We want to make <image> as large as possible, where <image> denotes the bitwise OR. Find the maximum possible value of <image> after performing at most k operations optimally. Input The first line contains three integers n, k and x (1 ≤ n ≤ 200 000, 1 ≤ k ≤ 10, 2 ≤ x ≤ 8). The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ 109). Output Output the maximum value of a bitwise OR of sequence elements after performing operations. Examples Input 3 1 2 1 1 1 Output 3 Input 4 2 3 1 2 4 8 Output 79 Note For the first sample, any possible choice of doing one operation will result the same three numbers 1, 1, 2 so the result is <image>. For the second sample if we multiply 8 by 3 two times we'll get 72. In this case the numbers will become 1, 2, 4, 72 so the OR value will be 79 and is the largest possible result. Submitted Solution: ``` n,k,x=map(int,input().split()) l=list(map(int,input().split())) a=[0]*n b=[0]*n for i in range(1,n): a[i]=a[i-1]|l[i-1] for i in range(1,n): b[n-i-1]=b[-i]|l[-i] print(a) print(b) nom=0 for i in range(1,n): if (l[nom]*(x**k))|a[i]|b[i]<(l[i]*(x**k))|a[i]|b[i]: nom=i l[nom]*=x**k print(l[nom]|a[nom]|b[nom]) ```
instruction
0
67,700
5
135,400
No
output
1
67,700
5
135,401
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are well-known formulas: <image>, <image>, <image>. Also mathematicians found similar formulas for higher degrees. Find the value of the sum <image> modulo 109 + 7 (so you should find the remainder after dividing the answer by the value 109 + 7). Input The only line contains two integers n, k (1 ≤ n ≤ 109, 0 ≤ k ≤ 106). Output Print the only integer a — the remainder after dividing the value of the sum by the value 109 + 7. Examples Input 4 1 Output 10 Input 4 2 Output 30 Input 4 3 Output 100 Input 4 0 Output 4 Submitted Solution: ``` a,b=map(int,input().split()) s=0 for i in range(a+1): s=s+pow(i,b) print(s) ```
instruction
0
67,720
5
135,440
No
output
1
67,720
5
135,441
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are well-known formulas: <image>, <image>, <image>. Also mathematicians found similar formulas for higher degrees. Find the value of the sum <image> modulo 109 + 7 (so you should find the remainder after dividing the answer by the value 109 + 7). Input The only line contains two integers n, k (1 ≤ n ≤ 109, 0 ≤ k ≤ 106). Output Print the only integer a — the remainder after dividing the value of the sum by the value 109 + 7. Examples Input 4 1 Output 10 Input 4 2 Output 30 Input 4 3 Output 100 Input 4 0 Output 4 Submitted Solution: ``` n, k = input().split() n=int(n) k=int(k) s=0 s=int(s) if k ==0: s=n elif k==1: s=int((n*(n+1))/2) elif k==2: s=int((n*(2*n+1)*(n+1))/6) elif k==3: s=int(pow((n*(n+1))/2,2)) else: for i in range(1,n+1): s=s+pow(i,k) print(i) s=s%(pow(10,9)+7) print(s) ```
instruction
0
67,721
5
135,442
No
output
1
67,721
5
135,443
Provide a correct Python 3 solution for this coding contest problem. Compute A \times B, truncate its fractional part, and print the result as an integer. Constraints * 0 \leq A \leq 10^{15} * 0 \leq B < 10 * A is an integer. * B is a number with two digits after the decimal point. Input Input is given from Standard Input in the following format: A B Output Print the answer as an integer. Examples Input 198 1.10 Output 217 Input 1 0.01 Output 0 Input 1000000000000000 9.99 Output 9990000000000000
instruction
0
67,894
5
135,788
"Correct Solution: ``` a, b = map(float, input().split()) print(round(a) * round(b*100) // 100) ```
output
1
67,894
5
135,789
Provide a correct Python 3 solution for this coding contest problem. Compute A \times B, truncate its fractional part, and print the result as an integer. Constraints * 0 \leq A \leq 10^{15} * 0 \leq B < 10 * A is an integer. * B is a number with two digits after the decimal point. Input Input is given from Standard Input in the following format: A B Output Print the answer as an integer. Examples Input 198 1.10 Output 217 Input 1 0.01 Output 0 Input 1000000000000000 9.99 Output 9990000000000000
instruction
0
67,895
5
135,790
"Correct Solution: ``` A, B = input().split() print(int((int(A)*int(float(B)*1000))//1000)) ```
output
1
67,895
5
135,791