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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke can change a string t of length N into a string t' of length N - 1 under the following rule: * For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t. There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations. Constraints * 1 ≤ |s| ≤ 100 * s consists of lowercase English letters. Input Input is given from Standard Input in the following format: s Output Print the minimum necessary number of operations to achieve the objective. Examples Input serval Output 3 Input jackal Output 2 Input zzz Output 0 Input whbrjpjyhsrywlqjxdbrbaomnw Output 8 Submitted Solution: ``` #41 A - Shrinking import collections s = list(input()) cnt = collections.Counter(s) valcnt = list(cnt.values()) M = max(valcnt) # 出現回数が最多の文字リスト mkeys = [i for i,v in cnt.items() if v == M] # 文字がすべて違うとき if len(mkeys) == len(s): print((len(s)+2-1)//2) else: ans = len(s) for key in mkeys: m = 0 cnt = 0 # 最多の文字の区間の最大値がその文字の最小値 for S in s: if S == key: m = max(m,cnt) cnt = 0 else: cnt += 1 m = max(m,cnt) ans = min(ans,m) ans = min(ans,(len(s)+2-1)//2) print(ans) ```
instruction
0
31,651
16
63,302
No
output
1
31,651
16
63,303
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke can change a string t of length N into a string t' of length N - 1 under the following rule: * For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t. There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations. Constraints * 1 ≤ |s| ≤ 100 * s consists of lowercase English letters. Input Input is given from Standard Input in the following format: s Output Print the minimum necessary number of operations to achieve the objective. Examples Input serval Output 3 Input jackal Output 2 Input zzz Output 0 Input whbrjpjyhsrywlqjxdbrbaomnw Output 8 Submitted Solution: ``` from math import ceil from collections import defaultdict S=input() N=len(S) D=defaultdict(int) idx=defaultdict(int) for i in range(N): s=S[i] nowd=D[s] #左にいくつあるか if i-idx[s]>nowd: D[s]=i-idx[s] idx[s]=(i+1) #print(D,idx) ans=float("INF") for k,v in D.items(): sub=0 i=idx[k] if v>=N-i: sub=v else: res=N-i sub=v sub+=ceil((N-i-v)/2) #print(sub,v,i) ans=min(ans, sub) print(ans) ```
instruction
0
31,652
16
63,304
No
output
1
31,652
16
63,305
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke can change a string t of length N into a string t' of length N - 1 under the following rule: * For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t. There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations. Constraints * 1 ≤ |s| ≤ 100 * s consists of lowercase English letters. Input Input is given from Standard Input in the following format: s Output Print the minimum necessary number of operations to achieve the objective. Examples Input serval Output 3 Input jackal Output 2 Input zzz Output 0 Input whbrjpjyhsrywlqjxdbrbaomnw Output 8 Submitted Solution: ``` # 2019/08/09 from collections import Counter s=list(input()) n=len(s) S=set(s) if len(s)==len(S): print(n//2) exit() if s.count(s[0])==len(s): print(0) exit() c=Counter(s) res=float('inf') max_v=c.most_common(1)[0][1] for k,v in c.most_common(): if v<max_v:break r=0 l=0 cnt=0 while l<=r<n: if s[r]==k: cnt=max(r-l-1,cnt) l=r r+=1 if n==r:cnt=max(r-l-1,cnt) if cnt==0:continue res=min(res,cnt) if res==float('inf'): print(0) else:print(res) ```
instruction
0
31,653
16
63,306
No
output
1
31,653
16
63,307
Provide a correct Python 3 solution for this coding contest problem. A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively: a60bcb8e9e8f22e3af51049eda063392.png Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed: * When placing each tetromino, rotation is allowed, but reflection is not. * Each square in the rectangle must be covered by exactly one tetromino. * No part of each tetromino may be outside the rectangle. Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K. Constraints * 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9 * a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1 Input The input is given from Standard Input in the following format: a_I a_O a_T a_J a_L a_S a_Z Output Print the maximum possible value of K. If no rectangle can be formed, print `0`. Examples Input 2 1 1 0 0 0 0 Output 3 Input 0 0 10 0 0 0 0 Output 0
instruction
0
31,654
16
63,308
"Correct Solution: ``` i,o,t,j,l,s,z=map(int,input().split()) res=0 if i>0 and j>0 and l>0 and i%2+j%2+l%2>=2: res+=3 i-=1 j-=1 l-=1 res+=(i//2)*2 res+=o res+=(j//2)*2 res+=(l//2)*2 print(res) ```
output
1
31,654
16
63,309
Provide a correct Python 3 solution for this coding contest problem. A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively: a60bcb8e9e8f22e3af51049eda063392.png Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed: * When placing each tetromino, rotation is allowed, but reflection is not. * Each square in the rectangle must be covered by exactly one tetromino. * No part of each tetromino may be outside the rectangle. Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K. Constraints * 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9 * a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1 Input The input is given from Standard Input in the following format: a_I a_O a_T a_J a_L a_S a_Z Output Print the maximum possible value of K. If no rectangle can be formed, print `0`. Examples Input 2 1 1 0 0 0 0 Output 3 Input 0 0 10 0 0 0 0 Output 0
instruction
0
31,655
16
63,310
"Correct Solution: ``` i,o,t,j,l,s,z = map(int,input().split()) a = 0 b = 0 if i > 0 and j > 0 and l > 0: a += 3 for k in [i-1,j-1,l-1]: if k % 2 == 1: a += k-1 else: a += k for k in [i,j,l]: if k % 2 == 1: b += k-1 else: b += k print(o + max(a,b)) ```
output
1
31,655
16
63,311
Provide a correct Python 3 solution for this coding contest problem. A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively: a60bcb8e9e8f22e3af51049eda063392.png Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed: * When placing each tetromino, rotation is allowed, but reflection is not. * Each square in the rectangle must be covered by exactly one tetromino. * No part of each tetromino may be outside the rectangle. Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K. Constraints * 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9 * a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1 Input The input is given from Standard Input in the following format: a_I a_O a_T a_J a_L a_S a_Z Output Print the maximum possible value of K. If no rectangle can be formed, print `0`. Examples Input 2 1 1 0 0 0 0 Output 3 Input 0 0 10 0 0 0 0 Output 0
instruction
0
31,656
16
63,312
"Correct Solution: ``` a = [int(x) for x in input().split()] ans = 2*(a[0]//2 + a[3]//2 + a[4]//2) + 3*(1 & a[0] & a[3] & a[4]) if a[0] and a[3] and a[4]: ans = max(ans, 2*((a[0]-1)//2 + (a[3]-1)//2 + (a[4]-1)//2) + 3) print(int(ans + a[1])) ```
output
1
31,656
16
63,313
Provide a correct Python 3 solution for this coding contest problem. A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively: a60bcb8e9e8f22e3af51049eda063392.png Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed: * When placing each tetromino, rotation is allowed, but reflection is not. * Each square in the rectangle must be covered by exactly one tetromino. * No part of each tetromino may be outside the rectangle. Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K. Constraints * 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9 * a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1 Input The input is given from Standard Input in the following format: a_I a_O a_T a_J a_L a_S a_Z Output Print the maximum possible value of K. If no rectangle can be formed, print `0`. Examples Input 2 1 1 0 0 0 0 Output 3 Input 0 0 10 0 0 0 0 Output 0
instruction
0
31,657
16
63,314
"Correct Solution: ``` a_i, a_o, a_t, a_j, a_l, a_s, a_z = map(int, input().split()) tri_use = min(a_j, a_l, a_i) p1 = tri_use * 3 j_ex = a_j - tri_use l_ex = a_l - tri_use i_ex = a_i - tri_use p2 = j_ex//2 * 2 + l_ex//2 * 2 + i_ex//2 * 2 extra = j_ex%2 + l_ex%2 + i_ex%2 p3 = 0 if tri_use >= 1: if extra == 2: p3 = 1 elif extra == 3: p3 = 3 print(p1 + p2 + p3 + a_o) ```
output
1
31,657
16
63,315
Provide a correct Python 3 solution for this coding contest problem. A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively: a60bcb8e9e8f22e3af51049eda063392.png Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed: * When placing each tetromino, rotation is allowed, but reflection is not. * Each square in the rectangle must be covered by exactly one tetromino. * No part of each tetromino may be outside the rectangle. Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K. Constraints * 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9 * a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1 Input The input is given from Standard Input in the following format: a_I a_O a_T a_J a_L a_S a_Z Output Print the maximum possible value of K. If no rectangle can be formed, print `0`. Examples Input 2 1 1 0 0 0 0 Output 3 Input 0 0 10 0 0 0 0 Output 0
instruction
0
31,658
16
63,316
"Correct Solution: ``` a,b,c,d,e,f,g=map(int,input().split()) check=[a%2,d%2,e%2] if check.count(1)==3 or check.count(1)==0: print(a+b+d+e) elif check.count(1)==1: print(a+b+d+e-1) else: if a*d*e>0: print(a+b+d+e-1) else: print(a+b+d+e-2) ```
output
1
31,658
16
63,317
Provide a correct Python 3 solution for this coding contest problem. A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively: a60bcb8e9e8f22e3af51049eda063392.png Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed: * When placing each tetromino, rotation is allowed, but reflection is not. * Each square in the rectangle must be covered by exactly one tetromino. * No part of each tetromino may be outside the rectangle. Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K. Constraints * 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9 * a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1 Input The input is given from Standard Input in the following format: a_I a_O a_T a_J a_L a_S a_Z Output Print the maximum possible value of K. If no rectangle can be formed, print `0`. Examples Input 2 1 1 0 0 0 0 Output 3 Input 0 0 10 0 0 0 0 Output 0
instruction
0
31,659
16
63,318
"Correct Solution: ``` a = list(map(int, input().split())) b = a[:] c = a[:] def aa(a): total = a[1] i6 = min(a[0],a[3],a[4]) a[0] -= i6 a[3] -= i6 a[4] -= i6 total += i6 * 3 total += a[0]//2*2 total += a[3]//2 *2 total += a[4]//2 *2 return total def bb(a): total = a[1] if a[0] > 0 and a[3]%2 == a[4]%2 == 1: a[0] -= 1 a[3] -= 1 a[4] -= 1 total += 3 total += a[0]//2 * 2 total += a[3]//2 * 2 total += a[4]//2 * 2 return total def cc(a): total = a[1] if (a[0]%2 == a[3]%2 == 1 and a[4]>0) or (a[0]%2 == a[4]%2 == 1 and a[3]>0) or(a[4]%2 == a[3]%2 == 1 and a[0]>0): total += 3 a[0] -= 1 a[3] -= 1 a[4] -= 1 total += a[0]//2 * 2 total += a[3]//2 * 2 total += a[4]//2 * 2 if a[0]%2 == a[3]%2 == a[4]%2 == 1: a[0] -= 1 a[3] -= 1 a[4] -= 1 total += 3 return total print(max(aa(a),bb(b), cc(c))) ```
output
1
31,659
16
63,319
Provide a correct Python 3 solution for this coding contest problem. A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively: a60bcb8e9e8f22e3af51049eda063392.png Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed: * When placing each tetromino, rotation is allowed, but reflection is not. * Each square in the rectangle must be covered by exactly one tetromino. * No part of each tetromino may be outside the rectangle. Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K. Constraints * 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9 * a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1 Input The input is given from Standard Input in the following format: a_I a_O a_T a_J a_L a_S a_Z Output Print the maximum possible value of K. If no rectangle can be formed, print `0`. Examples Input 2 1 1 0 0 0 0 Output 3 Input 0 0 10 0 0 0 0 Output 0
instruction
0
31,660
16
63,320
"Correct Solution: ``` i,o,t,j,l,s,z = map(int,input().split()) if i > 0 and j > 0 and l > 0: print(max(o + i//2*2 + j//2*2 + l//2*2,o + (i-1)//2*2 + (j-1)//2*2 + (l-1)//2*2 + 3)) else: print(o + i//2*2 + j//2*2 + l//2*2) ```
output
1
31,660
16
63,321
Provide a correct Python 3 solution for this coding contest problem. A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively: a60bcb8e9e8f22e3af51049eda063392.png Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed: * When placing each tetromino, rotation is allowed, but reflection is not. * Each square in the rectangle must be covered by exactly one tetromino. * No part of each tetromino may be outside the rectangle. Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K. Constraints * 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9 * a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1 Input The input is given from Standard Input in the following format: a_I a_O a_T a_J a_L a_S a_Z Output Print the maximum possible value of K. If no rectangle can be formed, print `0`. Examples Input 2 1 1 0 0 0 0 Output 3 Input 0 0 10 0 0 0 0 Output 0
instruction
0
31,661
16
63,322
"Correct Solution: ``` i,o,t,j,l,s,z=map(int,input().split()) a=(i//2+j//2+l//2)*2 print([a,max(a,((i-1)//2+(j-1)//2+(l-1)//2)*2+3)][not(not(i and j and l))]+o) ```
output
1
31,661
16
63,323
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively: a60bcb8e9e8f22e3af51049eda063392.png Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed: * When placing each tetromino, rotation is allowed, but reflection is not. * Each square in the rectangle must be covered by exactly one tetromino. * No part of each tetromino may be outside the rectangle. Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K. Constraints * 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9 * a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1 Input The input is given from Standard Input in the following format: a_I a_O a_T a_J a_L a_S a_Z Output Print the maximum possible value of K. If no rectangle can be formed, print `0`. Examples Input 2 1 1 0 0 0 0 Output 3 Input 0 0 10 0 0 0 0 Output 0 Submitted Solution: ``` import sys input = sys.stdin.readline sys.setrecursionlimit(10 ** 7) I,O,T,J,L,S,Z = map(int,input().split()) # T,S,Z は無関係 # I,O,J,Lに注目 # Oは足すだけ # I,J,Lが問題 # II, JIL, JJ, LL x = (I//2 + J//2 + L//2) * 2 if I>0 and J>0 and L>0: x = max(x,((I-1)//2 + (J-1)//2 + (L-1)//2) * 2 + 3) x += O print(x) ```
instruction
0
31,662
16
63,324
Yes
output
1
31,662
16
63,325
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively: a60bcb8e9e8f22e3af51049eda063392.png Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed: * When placing each tetromino, rotation is allowed, but reflection is not. * Each square in the rectangle must be covered by exactly one tetromino. * No part of each tetromino may be outside the rectangle. Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K. Constraints * 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9 * a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1 Input The input is given from Standard Input in the following format: a_I a_O a_T a_J a_L a_S a_Z Output Print the maximum possible value of K. If no rectangle can be formed, print `0`. Examples Input 2 1 1 0 0 0 0 Output 3 Input 0 0 10 0 0 0 0 Output 0 Submitted Solution: ``` i,o,t,j,l,s,z=map(int,input().split()) ans=0 #oは加えるしか使い道がないので加算。 ans+=o #j,lは2つずつ使って2を作るかi,j,lを1つずつ使って3を作るか #最適戦略は3種の偶奇について、2種類以上が偶数個になるまで3を作ること(最大試行1回)。 #その後、各種2N個ずつ消費していけば、無駄になる個数を最小化できる。 if i>0 and j>0 and l>0: evn=0 if j%2==0: evn+=1 if l%2==0: evn+=1 if i%2==0: evn+=1 #奇数個の種類が多いのならば1度だけ3を作る。 if evn<2: ans+=3 i-=1 j-=1 l-=1 #あとは全て2つずつ組み合わせていくのが最適。 ans+=(i//2)*2 ans+=(j//2)*2 ans+=(l//2)*2 #その他のピースでは長方形は作れない。 print(ans) ```
instruction
0
31,663
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63,326
Yes
output
1
31,663
16
63,327
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively: a60bcb8e9e8f22e3af51049eda063392.png Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed: * When placing each tetromino, rotation is allowed, but reflection is not. * Each square in the rectangle must be covered by exactly one tetromino. * No part of each tetromino may be outside the rectangle. Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K. Constraints * 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9 * a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1 Input The input is given from Standard Input in the following format: a_I a_O a_T a_J a_L a_S a_Z Output Print the maximum possible value of K. If no rectangle can be formed, print `0`. Examples Input 2 1 1 0 0 0 0 Output 3 Input 0 0 10 0 0 0 0 Output 0 Submitted Solution: ``` A=list(map(int,input().split())) print(A[1]+(A[0]//2+A[3]//2+A[4]//2)*2 if 0 in (A[0],A[3],A[4]) or A[0]%2+A[3]%2+A[4]%2<2 else A[1]+((A[0]-1)//2+(A[3]-1)//2+(A[4]-1)//2)*2+3) ```
instruction
0
31,664
16
63,328
Yes
output
1
31,664
16
63,329
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively: a60bcb8e9e8f22e3af51049eda063392.png Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed: * When placing each tetromino, rotation is allowed, but reflection is not. * Each square in the rectangle must be covered by exactly one tetromino. * No part of each tetromino may be outside the rectangle. Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K. Constraints * 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9 * a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1 Input The input is given from Standard Input in the following format: a_I a_O a_T a_J a_L a_S a_Z Output Print the maximum possible value of K. If no rectangle can be formed, print `0`. Examples Input 2 1 1 0 0 0 0 Output 3 Input 0 0 10 0 0 0 0 Output 0 Submitted Solution: ``` a_i,a_o,a_t,a_j,a_l,a_s,a_z=map(int,input().split()) ans1=a_o if min(a_i,a_j,a_l)==0: ans2=2*(a_i//2+a_j//2+a_l//2) else: ans2=max(2*(a_i//2+a_j//2+a_l//2),3+2*((a_i-1)//2+(a_j-1)//2+(a_l-1)//2)) print(ans1+ans2) ```
instruction
0
31,665
16
63,330
Yes
output
1
31,665
16
63,331
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively: a60bcb8e9e8f22e3af51049eda063392.png Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed: * When placing each tetromino, rotation is allowed, but reflection is not. * Each square in the rectangle must be covered by exactly one tetromino. * No part of each tetromino may be outside the rectangle. Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K. Constraints * 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9 * a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1 Input The input is given from Standard Input in the following format: a_I a_O a_T a_J a_L a_S a_Z Output Print the maximum possible value of K. If no rectangle can be formed, print `0`. Examples Input 2 1 1 0 0 0 0 Output 3 Input 0 0 10 0 0 0 0 Output 0 Submitted Solution: ``` import math a = list(map(int, input().split())) ans = 0 i = 2 * math.floor(0.5 * a[0]) if a[5] or a[2] or a[6]: pass else: if a[3] == a[4]: ans = ans + a[3] * 2 ans = ans + i + a[1] print(ans) ```
instruction
0
31,666
16
63,332
No
output
1
31,666
16
63,333
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively: a60bcb8e9e8f22e3af51049eda063392.png Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed: * When placing each tetromino, rotation is allowed, but reflection is not. * Each square in the rectangle must be covered by exactly one tetromino. * No part of each tetromino may be outside the rectangle. Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K. Constraints * 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9 * a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1 Input The input is given from Standard Input in the following format: a_I a_O a_T a_J a_L a_S a_Z Output Print the maximum possible value of K. If no rectangle can be formed, print `0`. Examples Input 2 1 1 0 0 0 0 Output 3 Input 0 0 10 0 0 0 0 Output 0 Submitted Solution: ``` A = [int(i) for i in input().split()] B = [A[1],A[0],A[3],A[4]] ans = 0 ans += B[0] if min(B[1:]) == 0: for b in B[1:]: if b%2 == 0: ans += 2 elif not sum([i%2 for i in B[1:]])%3: ans += sum(B[1:]) else: ans += sum(B[1:])-1 print(ans) ```
instruction
0
31,667
16
63,334
No
output
1
31,667
16
63,335
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively: a60bcb8e9e8f22e3af51049eda063392.png Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed: * When placing each tetromino, rotation is allowed, but reflection is not. * Each square in the rectangle must be covered by exactly one tetromino. * No part of each tetromino may be outside the rectangle. Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K. Constraints * 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9 * a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1 Input The input is given from Standard Input in the following format: a_I a_O a_T a_J a_L a_S a_Z Output Print the maximum possible value of K. If no rectangle can be formed, print `0`. Examples Input 2 1 1 0 0 0 0 Output 3 Input 0 0 10 0 0 0 0 Output 0 Submitted Solution: ``` I, O, T, J, L, S, Z = list(map(int, input().split())) a = O a += (I >> 1) << 1 a += (J >> 1) << 1 a += (L >> 1) << 1 if I & 1 and J & 1 and L & 1: a += 3 print(a) ```
instruction
0
31,668
16
63,336
No
output
1
31,668
16
63,337
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively: a60bcb8e9e8f22e3af51049eda063392.png Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed: * When placing each tetromino, rotation is allowed, but reflection is not. * Each square in the rectangle must be covered by exactly one tetromino. * No part of each tetromino may be outside the rectangle. Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K. Constraints * 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9 * a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1 Input The input is given from Standard Input in the following format: a_I a_O a_T a_J a_L a_S a_Z Output Print the maximum possible value of K. If no rectangle can be formed, print `0`. Examples Input 2 1 1 0 0 0 0 Output 3 Input 0 0 10 0 0 0 0 Output 0 Submitted Solution: ``` aI, aO, aT, aJ, aL, aS, aZ = map(int, input().split()) if aL%2 and aJ%2: print(int((aI-1)/2)*2+aO+int(aJ/2)*2+int(aL/2)*2+3) else: print(int(aI/2)*2+aO+int(aJ/2)*2+int(aL/2)*2) ```
instruction
0
31,669
16
63,338
No
output
1
31,669
16
63,339
Provide a correct Python 3 solution for this coding contest problem. We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|. Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition: * No two squares with distance exactly d have the same color. Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists. Constraints * 2 ≤ H, W ≤ 500 * 1 ≤ d ≤ H + W - 2 Input Input is given from Standard Input in the following format: H W d Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Examples Input 2 2 1 Output RY GR Input 2 3 2 Output RYB RGB
instruction
0
32,351
16
64,702
"Correct Solution: ``` l = ['R', 'Y', 'G', 'B'] h, w, d = map(int, input().split()) res = [[None] * 1000 for _ in range(1000)] for i in range(1000): if (i // d) % 2 == 0: for j in range(1000): res[i][j] = l[(j // d + 2) % 4] else: for j in range(1000): res[i][j] = l[j // d % 4] ans = [[None] * w for _ in range(h)] for i in range(h): for j in range(w): ans[i][j] = res[i + j][h - i - 1 + j] for row in ans: print(''.join(row)) ```
output
1
32,351
16
64,703
Provide a correct Python 3 solution for this coding contest problem. We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|. Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition: * No two squares with distance exactly d have the same color. Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists. Constraints * 2 ≤ H, W ≤ 500 * 1 ≤ d ≤ H + W - 2 Input Input is given from Standard Input in the following format: H W d Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Examples Input 2 2 1 Output RY GR Input 2 3 2 Output RYB RGB
instruction
0
32,352
16
64,704
"Correct Solution: ``` H, W, d = map(int, input().split()) ret = [['RGBY'[(i + j) // d % 2 + (i - j) // d % 2 * 2] for j in range(W)] for i in range(H)] for a in ret: print(''.join(a)) ```
output
1
32,352
16
64,705
Provide a correct Python 3 solution for this coding contest problem. We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|. Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition: * No two squares with distance exactly d have the same color. Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists. Constraints * 2 ≤ H, W ≤ 500 * 1 ≤ d ≤ H + W - 2 Input Input is given from Standard Input in the following format: H W d Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Examples Input 2 2 1 Output RY GR Input 2 3 2 Output RYB RGB
instruction
0
32,353
16
64,706
"Correct Solution: ``` H, W, d = map(int, input().split()) C = ["R", "Y", "G", "B"] if d%2==1: for i in range(H): out = "" for j in range(W): out += C[(i+j)%4] print(out) elif d%4 == 2: for i in range(H): out = "" for j in range(W): out += C[i%2*2+(i//2+j//2)%2] print(out) else: for i in range(H): out = "" for j in range(W): out += C[(i+j)//d%2*2+(i-j)//d%2] print(out) ```
output
1
32,353
16
64,707
Provide a correct Python 3 solution for this coding contest problem. We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|. Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition: * No two squares with distance exactly d have the same color. Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists. Constraints * 2 ≤ H, W ≤ 500 * 1 ≤ d ≤ H + W - 2 Input Input is given from Standard Input in the following format: H W d Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Examples Input 2 2 1 Output RY GR Input 2 3 2 Output RYB RGB
instruction
0
32,354
16
64,708
"Correct Solution: ``` import sys input = lambda : sys.stdin.readline().rstrip() sys.setrecursionlimit(max(1000, 10**9)) write = lambda x: sys.stdout.write(x+"\n") h,w,d = list(map(int, input().split())) v = [[0]*(h+w) for _ in range(h+w)] dd = {(0,0): "R", (0,1): "Y", (1,0): "G", (1,1): "B"} for i in range(h+w): for j in range(h+w): v[i][j] = dd[(i//d)%2, (j//d)%2] ans = [[0]*w for _ in range(h)] for i in range(h): for j in range(w): ans[i][j] = v[i+j][i-j+w] for i in range(h): write("".join(ans[i])) ```
output
1
32,354
16
64,709
Provide a correct Python 3 solution for this coding contest problem. We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|. Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition: * No two squares with distance exactly d have the same color. Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists. Constraints * 2 ≤ H, W ≤ 500 * 1 ≤ d ≤ H + W - 2 Input Input is given from Standard Input in the following format: H W d Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Examples Input 2 2 1 Output RY GR Input 2 3 2 Output RYB RGB
instruction
0
32,355
16
64,710
"Correct Solution: ``` import sys H,W,d=map(int,input().split()) if d%2==1: l=W//4+1 reg=list("RYGB"*l) for j in range(H): a=reg.pop(0) reg+=a print("".join(map(str,reg))[:W]) else: for i in range(H): c="RYGB" ans = [] for j in range(W): b1 = ((i-j) // d) % 2 b2 = ((i+j) // d) % 2 ans+= c[b1 * 2 + b2] print("".join(ans)) ```
output
1
32,355
16
64,711
Provide a correct Python 3 solution for this coding contest problem. We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|. Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition: * No two squares with distance exactly d have the same color. Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists. Constraints * 2 ≤ H, W ≤ 500 * 1 ≤ d ≤ H + W - 2 Input Input is given from Standard Input in the following format: H W d Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Examples Input 2 2 1 Output RY GR Input 2 3 2 Output RYB RGB
instruction
0
32,356
16
64,712
"Correct Solution: ``` n, m, d = map(int, input().strip().split()) c = "RYGB" if d % 2 == 1: for i in range(n): print("".join([c[(i + j) % 2] for j in range(m)])) else: for i in range(n): result = [] for j in range(m): b1 = ((i + j) // d) % 2 b2 = ((i - j) // d) % 2 result += c[b1 * 2 + b2] print("".join(result)) ```
output
1
32,356
16
64,713
Provide a correct Python 3 solution for this coding contest problem. We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|. Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition: * No two squares with distance exactly d have the same color. Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists. Constraints * 2 ≤ H, W ≤ 500 * 1 ≤ d ≤ H + W - 2 Input Input is given from Standard Input in the following format: H W d Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Examples Input 2 2 1 Output RY GR Input 2 3 2 Output RYB RGB
instruction
0
32,357
16
64,714
"Correct Solution: ``` import sys input = sys.stdin.readline def main(): H, W, d = map(int, input().split()) color = ("R", "Y", "G", "B") d2 = d * 2 for i in range(H): tmp = "" for j in range(W): tmp += color[2 * (((i+j) % d2) < d) + (((i-j) % d2) < d)] print(tmp) if __name__ == "__main__": main() ```
output
1
32,357
16
64,715
Provide a correct Python 3 solution for this coding contest problem. We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|. Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition: * No two squares with distance exactly d have the same color. Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists. Constraints * 2 ≤ H, W ≤ 500 * 1 ≤ d ≤ H + W - 2 Input Input is given from Standard Input in the following format: H W d Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Examples Input 2 2 1 Output RY GR Input 2 3 2 Output RYB RGB
instruction
0
32,358
16
64,716
"Correct Solution: ``` # -*- coding: utf-8 -*- import heapq import math import sys tmp = input() H, W, d = [int(a) for a in tmp.split()] def decide_color(i, j, d2): x = i + j y = i - j if y < 0: y += (d2 * 2) * max(H, W) kinds = [a % (d2*2) < d2 for a in [x, y]] ids = [0 if k else 1 for k in kinds] #return '/'+str(x)+str(y)+'/' return [['R', 'Y'], ['G', 'B']][ids[0]][ids[1]] def decide_color2(i, j): return ['R', 'Y'][(i+j) % 2] if d % 2 == 1: for i in range(H): print(''.join([decide_color2(i, j) for j in range(W)])) else: for i in range(H): print(''.join([decide_color(i, j, d) for j in range(W)])) ```
output
1
32,358
16
64,717
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|. Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition: * No two squares with distance exactly d have the same color. Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists. Constraints * 2 ≤ H, W ≤ 500 * 1 ≤ d ≤ H + W - 2 Input Input is given from Standard Input in the following format: H W d Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Examples Input 2 2 1 Output RY GR Input 2 3 2 Output RYB RGB Submitted Solution: ``` H,W,D=map(int,input().split()) if D&1: S='RY'*(W+1) for i in range(H): print(S[i&1:W+(i&1)]) exit() x=D>>1 M=max(H,W)<<2 Q=[[0]*(M+1) for j in range(M+1)] S='RYGB' for i in range(M+1): for j in range(M+1): Q[i][j]=((j//x)&1)+((i//(x*2))&1)*2 P=[[0]*W for i in range(H)] M>>=1 for i in range(H): for j in range(W): P[i][j]=S[Q[M+i+j][M+((j-i)>>1)]] for i in range(H): print(*P[i],sep='') ```
instruction
0
32,361
16
64,722
Yes
output
1
32,361
16
64,723
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|. Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition: * No two squares with distance exactly d have the same color. Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists. Constraints * 2 ≤ H, W ≤ 500 * 1 ≤ d ≤ H + W - 2 Input Input is given from Standard Input in the following format: H W d Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Examples Input 2 2 1 Output RY GR Input 2 3 2 Output RYB RGB Submitted Solution: ``` mod = 1000000007 eps = 10**-9 def main(): import sys input = sys.stdin.readline H, W, d = map(int, input().split()) N = 1500 grid = [[""] * N for _ in range(N)] if d & 1: ans = [[""] * W for _ in range(H)] for h in range(H): for w in range(W): if (h+w) & 1: ans[h][w] = "R" else: ans[h][w] = "B" for h in range(H): print("".join(ans[h])) exit() grid = [[""] * N for _ in range(N)] e = (d-2) // 2 for h in range(N): if h * d >= N: break for w in range(N): if w * d >= N: break if (h+w) & 1: c = "R" else: c = "B" for hh in range(h*d - e, h*d + e + 1): for ww in range(w*d - e, w*d + e + 1): if 0 <= hh < N and 0 <= ww < N and abs(h*d-hh) + abs(w*d-ww) <= e: grid[hh][ww] = c for h in range(N): if h * d + d//2 >= N: break for w in range(N): if w * d + d//2 >= N: break if (h+w) & 1: c = "Y" else: c = "G" for hh in range(h*d + d//2 - e, h*d + d//2 + e + 1): for ww in range(w*d + d//2 - e, w*d + d//2 + e + 1): if 0 <= hh < N and 0 <= ww < N and abs(h*d + d//2 - hh) + abs(w*d + d//2 - ww) <= e: grid[hh][ww] = c for h in range(1, N): for w in range(N): if grid[h][w] == "": grid[h][w] = grid[h-1][w] for h in range(501, 500+H+1): print("".join(grid[h][501:500+W+1])) if __name__ == '__main__': main() ```
instruction
0
32,362
16
64,724
Yes
output
1
32,362
16
64,725
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|. Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition: * No two squares with distance exactly d have the same color. Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists. Constraints * 2 ≤ H, W ≤ 500 * 1 ≤ d ≤ H + W - 2 Input Input is given from Standard Input in the following format: H W d Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Examples Input 2 2 1 Output RY GR Input 2 3 2 Output RYB RGB Submitted Solution: ``` import sys H,W,d=map(int,input().split()) if d%2==1: l=W//4+1 reg=list("RYGB"*l) for j in range(H): a=reg.pop(0) reg+=a print("".join(map(str,reg))[:W]) else: for i in range(H): ans = [] for j in range(W): b1 = ((i+j) // d) % 2 b2 = ((i-j) // d) % 2 result += c[b1 * 2 + b2] print("".join(result)) ```
instruction
0
32,364
16
64,728
No
output
1
32,364
16
64,729
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|. Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition: * No two squares with distance exactly d have the same color. Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists. Constraints * 2 ≤ H, W ≤ 500 * 1 ≤ d ≤ H + W - 2 Input Input is given from Standard Input in the following format: H W d Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Examples Input 2 2 1 Output RY GR Input 2 3 2 Output RYB RGB Submitted Solution: ``` h,w,d = map(int,input().split()) if d%2: for i in range(h): for j in range(w): if (i+j)%2: print("R",end="") else: print("G",end="") print() else: cell = [["A" for i in range(2*d)] for j in range(2*d)] for i in range(d): for j in range(d): if (i+j)%2 == (d//2-1)%2: if abs(i-j) <= d//2-1 and d//2-1 <= i+j <= d+1: cell[i][j] = "R" elif j and cell[i][j-1] == "R": cell[i][j] = "R" for i in range(2*d): for j in range(2*d): if cell[(i-d)%(2*d)][(j-d)%(2*d)] == "R": cell[i][j] = "R" elif cell[(i-d//2)%(2*d)][(j-d//2)%(2*d)] == "R" or cell[(i+d//2)%(2*d)][(j+d//2)%(2*d)] == "R" : cell[i][j] = "G" elif cell[(i-d)%(2*d)][j] == "R" or cell[i][(j-d)%(2*d)] == "R": cell[i][j] = "B" elif cell[i][j] == "A": cell[i][j] = "Y" ans = [["A" for i in range(w)] for j in range(h)] for i in range(h): for j in range(w): x = cell[i%(2*d)][j%(2*d)] ans[i][j] = x print(*ans[i],sep="") ```
instruction
0
32,365
16
64,730
No
output
1
32,365
16
64,731
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|. Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition: * No two squares with distance exactly d have the same color. Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists. Constraints * 2 ≤ H, W ≤ 500 * 1 ≤ d ≤ H + W - 2 Input Input is given from Standard Input in the following format: H W d Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Output Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively. c_{11}c_{12}...c_{1W} : c_{H1}c_{H2}...c_{HW} Examples Input 2 2 1 Output RY GR Input 2 3 2 Output RYB RGB Submitted Solution: ``` import sys H,W,d=map(int,input().split()) if d%2==1: l=W//4+1 reg=list("RYGB"*l) for j in range(H): a=reg.pop(0) reg+=a print("".join(map(str,reg))[:W]) else: l=W//8+1 reg=list("RRYYGGBB"*l) for j in range(H): a=reg.pop(0) reg+=a a=reg.pop(0) reg+=a a=reg.pop(0) reg+=a print("".join(map(str,reg))[:W]) ```
instruction
0
32,366
16
64,732
No
output
1
32,366
16
64,733
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a sequence of length 2N: A_1, A_2, ..., A_{2N}. Each A_i is either -1 or an integer between 1 and 2N (inclusive). Any integer other than -1 appears at most once in {A_i}. For each i such that A_i = -1, Snuke replaces A_i with an integer between 1 and 2N (inclusive), so that {A_i} will be a permutation of 1, 2, ..., 2N. Then, he finds a sequence of length N, B_1, B_2, ..., B_N, as B_i = min(A_{2i-1}, A_{2i}). Find the number of different sequences that B_1, B_2, ..., B_N can be, modulo 10^9 + 7. Constraints * 1 \leq N \leq 300 * A_i = -1 or 1 \leq A_i \leq 2N. * If A_i \neq -1, A_j \neq -1, then A_i \neq A_j. (i \neq j) Input Input is given from Standard Input in the following format: N A_1 A_2 ... A_{2N} Output Print the number of different sequences that B_1, B_2, ..., B_N can be, modulo 10^9 + 7. Examples Input 3 1 -1 -1 3 6 -1 Output 5 Input 4 7 1 8 3 5 2 6 4 Output 1 Input 10 7 -1 -1 -1 -1 -1 -1 6 14 12 13 -1 15 -1 -1 -1 -1 20 -1 -1 Output 9540576 Input 20 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 6 -1 -1 -1 -1 -1 7 -1 -1 -1 -1 -1 -1 -1 -1 -1 34 -1 -1 -1 -1 31 -1 -1 -1 -1 -1 -1 -1 -1 Output 374984201 Submitted Solution: ``` n = int(input()) a = [int(i) for i in input().split()] b = [] d = [] for i in range(len(a)): b.append(a[2i]-a[2i+1]) c = [i for i in a.split() if i != '-1'] c = list(set(range(1,len(a)+1) ^ set(c)) for i in range(len(b)): if b[i]-1 == a[2*i]: d.append([i for i in c if i < a[2*i]] + [a[2*i]]) elif b[i]+a[2*i] == -1: d.append([i for i in c if i < a[2*i+1]] + [a[2*i]+1]) elif b[i] == 0: d.append([i for i in c if i != max(c)]) f = 1 for i in d: f *= len(i) for i in range(len(c)): if [e for i in d for e in i].count(c[i]) >= 2: g = 1 for j in d: g *= len(j)-j.count(c[i]) f -= g print(f) ```
instruction
0
33,181
16
66,362
No
output
1
33,181
16
66,363
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a sequence of length 2N: A_1, A_2, ..., A_{2N}. Each A_i is either -1 or an integer between 1 and 2N (inclusive). Any integer other than -1 appears at most once in {A_i}. For each i such that A_i = -1, Snuke replaces A_i with an integer between 1 and 2N (inclusive), so that {A_i} will be a permutation of 1, 2, ..., 2N. Then, he finds a sequence of length N, B_1, B_2, ..., B_N, as B_i = min(A_{2i-1}, A_{2i}). Find the number of different sequences that B_1, B_2, ..., B_N can be, modulo 10^9 + 7. Constraints * 1 \leq N \leq 300 * A_i = -1 or 1 \leq A_i \leq 2N. * If A_i \neq -1, A_j \neq -1, then A_i \neq A_j. (i \neq j) Input Input is given from Standard Input in the following format: N A_1 A_2 ... A_{2N} Output Print the number of different sequences that B_1, B_2, ..., B_N can be, modulo 10^9 + 7. Examples Input 3 1 -1 -1 3 6 -1 Output 5 Input 4 7 1 8 3 5 2 6 4 Output 1 Input 10 7 -1 -1 -1 -1 -1 -1 6 14 12 13 -1 15 -1 -1 -1 -1 20 -1 -1 Output 9540576 Input 20 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 6 -1 -1 -1 -1 -1 7 -1 -1 -1 -1 -1 -1 -1 -1 -1 34 -1 -1 -1 -1 31 -1 -1 -1 -1 -1 -1 -1 -1 Output 374984201 Submitted Solution: ``` n = int(input()) a = [int(i) for i in input().split()] b = [] d = [] for i in range(len(a)): b.append(a[2*i]-a[2*i+1]) c = [i for i in a.split() if i != '-1'] c = list(set(range(1,len(a)+1) ^ set(c))) for i in range(len(b)): if b[i]-1 == a[2*i]: d.append([i for i in c if i < a[2*i]] + [a[2*i]]) elif b[i]+a[2*i] == -1: d.append([i for i in c if i < a[2*i+1]] + [a[2*i]+1]) elif b[i] == 0: d.append([i for i in c if i != max(c)]) f = 1 for i in d: f *= len(i) for i in range(len(c)): if [e for i in d for e in i].count(c[i]) >= 2: g = 1 for j in d: g *= len(j)-j.count(c[i]) f -= g print(f) ```
instruction
0
33,182
16
66,364
No
output
1
33,182
16
66,365
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N non-negative integers written on the blackboard: A_1, ..., A_N. Snuke can perform the following two operations at most K times in total in any order: * Operation A: Replace each integer X on the blackboard with X divided by 2, rounded down to the nearest integer. * Operation B: Replace each integer X on the blackboard with X minus 1. This operation cannot be performed if one or more 0s are written on the blackboard. Find the number of the different possible combinations of integers written on the blackboard after Snuke performs the operations, modulo 1,000,000,007. Constraints * 1 \leq N \leq 200 * 1 \leq A_i \leq 10^{18} * 1 \leq K \leq 10^{18} * A_i and K are integers. Input Input is given from Standard Input in the following format: N K A_1 A_2 ... A_N Output Print the number of the different possible combinations of integers written on the blackboard after Snuke performs the operations, modulo 1,000,000,007. Examples Input 2 2 5 7 Output 6 Input 3 4 10 13 22 Output 20 Input 1 100 10 Output 11 Input 10 123456789012345678 228344079825412349 478465001534875275 398048921164061989 329102208281783917 779698519704384319 617456682030809556 561259383338846380 254083246422083141 458181156833851984 502254767369499613 Output 164286011 Submitted Solution: ``` #!/usr/bin/env python3 M = 10 ** 9 + 7 def solve(n, k, a): a_min = min(a) a_max = max(a) r = 0 i = 0 p = 1 for i in range(k + 1): q_min, q_max = a_min // p, a_max // p if q_min == q_max: if q_min == 0: r += 1 r %= M break else: r += min(q_min - q_min // 2, k - i + 1) r %= M else: b = [v % p for v in a] b.sort() h_max = k - i r += min(q_min, k - i) + 1 r %= M lb = b[0] for j in range(1, n): if lb != b[j]: bj = b[j] c = 0 h = 0 q = p // 2 f = False while 0 < q: if (bj // q) % 2 == 1: c += q h += 1 if (lb // q) % 2 != 1: f = True break elif h == h_max: break q //= 2 if c <= a_min: if f: r += min((a_min - c) // p, k - (i + h)) + 1 r %= M if (a_max - c) // p == 0: return r lb = bj else: continue else: break if q_min == 1 and q_max == 2: break p *= 2 return r def main(): n, k = input().split() n = int(n) k = int(k) a = list(map(int, input().split())) print(solve(n, k, a)) if __name__ == '__main__': main() ```
instruction
0
33,199
16
66,398
No
output
1
33,199
16
66,399
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N non-negative integers written on the blackboard: A_1, ..., A_N. Snuke can perform the following two operations at most K times in total in any order: * Operation A: Replace each integer X on the blackboard with X divided by 2, rounded down to the nearest integer. * Operation B: Replace each integer X on the blackboard with X minus 1. This operation cannot be performed if one or more 0s are written on the blackboard. Find the number of the different possible combinations of integers written on the blackboard after Snuke performs the operations, modulo 1,000,000,007. Constraints * 1 \leq N \leq 200 * 1 \leq A_i \leq 10^{18} * 1 \leq K \leq 10^{18} * A_i and K are integers. Input Input is given from Standard Input in the following format: N K A_1 A_2 ... A_N Output Print the number of the different possible combinations of integers written on the blackboard after Snuke performs the operations, modulo 1,000,000,007. Examples Input 2 2 5 7 Output 6 Input 3 4 10 13 22 Output 20 Input 1 100 10 Output 11 Input 10 123456789012345678 228344079825412349 478465001534875275 398048921164061989 329102208281783917 779698519704384319 617456682030809556 561259383338846380 254083246422083141 458181156833851984 502254767369499613 Output 164286011 Submitted Solution: ``` # -*- coding: utf-8 -*- def fun_A(L): A = list(map(int, [x / 2 for x in L])) return A def fun_B(L): A = [x - 1 for x in L] return A def fun_seq(K, func_list): if len(func_list[-1]) >= K: return length = len(func_list[-1]) temp = 2 ** length for i in func_list[-temp:]: func_list.append(i + 'A') func_list.append(i + 'B') fun_seq(K, func_list) if __name__ == '__main__': N, K = map(int, input().split()) A = list(map(int, input().split())) func_list = ['A', 'B'] fun_seq(K, func_list) #print(len(func_list), func_list) count = 0 for i in func_list: for j in i: if j == 'A': A = fun_A(A) if j == 'B' and 0 not in A: A = fun_B(A) else: continue count += 1 print(count % 1000000007) ```
instruction
0
33,200
16
66,400
No
output
1
33,200
16
66,401
Provide a correct Python 3 solution for this coding contest problem. Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it. They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card. Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|. Constraints * 2 \leq N \leq 2 \times 10^5 * -10^{9} \leq a_i \leq 10^{9} * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_{N} Output Print the answer. Examples Input 6 1 2 3 4 5 6 Output 1 Input 2 10 -10 Output 20
instruction
0
33,201
16
66,402
"Correct Solution: ``` n=int(input()) a=list(map(int,input().split())) for i in range(1,n): a[i]+=a[i-1] ABS=10**15 for i in range(n-1): ABS=min(abs(a[-1]-2*a[i]),ABS) print(ABS) ```
output
1
33,201
16
66,403
Provide a correct Python 3 solution for this coding contest problem. Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it. They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card. Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|. Constraints * 2 \leq N \leq 2 \times 10^5 * -10^{9} \leq a_i \leq 10^{9} * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_{N} Output Print the answer. Examples Input 6 1 2 3 4 5 6 Output 1 Input 2 10 -10 Output 20
instruction
0
33,202
16
66,404
"Correct Solution: ``` n=int(input()) l=list(map(int,input().split())) sum_l=sum(l) X=0 ans=10**10 for i in range(n-1): X+=l[i] ans=min(ans,abs(sum_l-2*X)) print(ans) ```
output
1
33,202
16
66,405
Provide a correct Python 3 solution for this coding contest problem. Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it. They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card. Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|. Constraints * 2 \leq N \leq 2 \times 10^5 * -10^{9} \leq a_i \leq 10^{9} * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_{N} Output Print the answer. Examples Input 6 1 2 3 4 5 6 Output 1 Input 2 10 -10 Output 20
instruction
0
33,203
16
66,406
"Correct Solution: ``` from itertools import*;*a,s=list(accumulate(map(int,open(0).read().split()[1:])));print(min(abs(s-x*2)for x in a)) ```
output
1
33,203
16
66,407
Provide a correct Python 3 solution for this coding contest problem. Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it. They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card. Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|. Constraints * 2 \leq N \leq 2 \times 10^5 * -10^{9} \leq a_i \leq 10^{9} * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_{N} Output Print the answer. Examples Input 6 1 2 3 4 5 6 Output 1 Input 2 10 -10 Output 20
instruction
0
33,204
16
66,408
"Correct Solution: ``` n = int(input()) a = list(map(int,input().split())) ans,box= 0,[] sum = sum(a) for i in range(n-1): ans += a[i] sum -= a[i] box.append(abs(ans-sum)) print(min(box)) ```
output
1
33,204
16
66,409
Provide a correct Python 3 solution for this coding contest problem. Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it. They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card. Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|. Constraints * 2 \leq N \leq 2 \times 10^5 * -10^{9} \leq a_i \leq 10^{9} * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_{N} Output Print the answer. Examples Input 6 1 2 3 4 5 6 Output 1 Input 2 10 -10 Output 20
instruction
0
33,205
16
66,410
"Correct Solution: ``` n=int(input()) a=list(map(int,input().split())) total=sum(a) ans=[] x=0 for i in range(n-1): x+=a[i] y=total-x ans.append(abs(x-y)) print(min(ans)) ```
output
1
33,205
16
66,411
Provide a correct Python 3 solution for this coding contest problem. Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it. They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card. Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|. Constraints * 2 \leq N \leq 2 \times 10^5 * -10^{9} \leq a_i \leq 10^{9} * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_{N} Output Print the answer. Examples Input 6 1 2 3 4 5 6 Output 1 Input 2 10 -10 Output 20
instruction
0
33,206
16
66,412
"Correct Solution: ``` n,*a=map(int,open(0).read().split()) s=[0] ans=10**20 for i in range(len(a)): s+=[a[i]+s[-1]] for i in range(1,len(s)-1): ans=min(ans,abs(s[-1]-2*s[i])) print(ans) ```
output
1
33,206
16
66,413
Provide a correct Python 3 solution for this coding contest problem. Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it. They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card. Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|. Constraints * 2 \leq N \leq 2 \times 10^5 * -10^{9} \leq a_i \leq 10^{9} * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_{N} Output Print the answer. Examples Input 6 1 2 3 4 5 6 Output 1 Input 2 10 -10 Output 20
instruction
0
33,207
16
66,414
"Correct Solution: ``` n=int(input()) a=list(map(int,input().split())) m=sum(a) x=0 l=[] for i in a[:-1]: x+=i l+=[abs(2*x-m)] print(min(l)) ```
output
1
33,207
16
66,415
Provide a correct Python 3 solution for this coding contest problem. Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it. They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card. Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|. Constraints * 2 \leq N \leq 2 \times 10^5 * -10^{9} \leq a_i \leq 10^{9} * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_{N} Output Print the answer. Examples Input 6 1 2 3 4 5 6 Output 1 Input 2 10 -10 Output 20
instruction
0
33,208
16
66,416
"Correct Solution: ``` n = int(input()) a = list(map(int,input().split())) S = sum(a) d = [0]*n for i in range(1,n): d[i] += d[i-1]+a[i-1] ans = [abs(S-2*d[i]) for i in range(1,n)] print(min(ans)) ```
output
1
33,208
16
66,417
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it. They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card. Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|. Constraints * 2 \leq N \leq 2 \times 10^5 * -10^{9} \leq a_i \leq 10^{9} * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_{N} Output Print the answer. Examples Input 6 1 2 3 4 5 6 Output 1 Input 2 10 -10 Output 20 Submitted Solution: ``` n,*a=map(int,open(0).read().split()) ans=10**100 b=sum(a) c=0 for i in a[:-1]: c+=i b-=i ans=min(ans,abs(b-c)) print(ans) ```
instruction
0
33,209
16
66,418
Yes
output
1
33,209
16
66,419
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it. They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card. Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|. Constraints * 2 \leq N \leq 2 \times 10^5 * -10^{9} \leq a_i \leq 10^{9} * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_{N} Output Print the answer. Examples Input 6 1 2 3 4 5 6 Output 1 Input 2 10 -10 Output 20 Submitted Solution: ``` n = int(input()) a = list(map(int, input().split())) x = 0 y = sum(a) ans = 10**10 for i in range(n-1): x += a[i] y -= a[i] ans = min(abs(x-y), ans) print(ans) ```
instruction
0
33,210
16
66,420
Yes
output
1
33,210
16
66,421
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it. They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card. Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|. Constraints * 2 \leq N \leq 2 \times 10^5 * -10^{9} \leq a_i \leq 10^{9} * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_{N} Output Print the answer. Examples Input 6 1 2 3 4 5 6 Output 1 Input 2 10 -10 Output 20 Submitted Solution: ``` _,*a=map(int,open(0).read().split());s,t=sum(a),0;l=[] for i in a:t+=i;l+=[abs(s-t*2)] print(min(l[:-1])) ```
instruction
0
33,211
16
66,422
Yes
output
1
33,211
16
66,423
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it. They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card. Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|. Constraints * 2 \leq N \leq 2 \times 10^5 * -10^{9} \leq a_i \leq 10^{9} * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_{N} Output Print the answer. Examples Input 6 1 2 3 4 5 6 Output 1 Input 2 10 -10 Output 20 Submitted Solution: ``` N=int(input()) an=list(map(int,input().split())) s=sum(an) b = an[0] l=[] a = abs(s-2*b) for i in range(1,N-1): b = b + an[i] a=min(a,abs(s-2*b)) print(a) ```
instruction
0
33,212
16
66,424
Yes
output
1
33,212
16
66,425
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it. They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card. Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|. Constraints * 2 \leq N \leq 2 \times 10^5 * -10^{9} \leq a_i \leq 10^{9} * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_{N} Output Print the answer. Examples Input 6 1 2 3 4 5 6 Output 1 Input 2 10 -10 Output 20 Submitted Solution: ``` if(__name__ == "__main__"): N = int(input()) a = [int(i) for i in input().split()] #print(a,b) #print(maxlist) distmin = 900000 for i in range(1,N): sunuke = a[:i] arai = a[i:] dist = abs(sum(sunuke) - sum(arai)) if(distmin > dist): distmin = dist print(distmin) ```
instruction
0
33,213
16
66,426
No
output
1
33,213
16
66,427
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it. They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card. Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|. Constraints * 2 \leq N \leq 2 \times 10^5 * -10^{9} \leq a_i \leq 10^{9} * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_{N} Output Print the answer. Examples Input 6 1 2 3 4 5 6 Output 1 Input 2 10 -10 Output 20 Submitted Solution: ``` nums = [int(x) for x in input().split()] N = nums[0],nums[1] A = [int(x) for x in input().split()] X = sum(A) MIN = 10**8 for i in range(N): s = A[0:i] MIN = (MIN,abs(X - 2*sum(s))) print(MIN) ```
instruction
0
33,214
16
66,428
No
output
1
33,214
16
66,429