Submission #266679

#TimeUsernameProblemLanguageResultExecution timeMemory
266679amiratouPaint By Numbers (IOI16_paint)C++14
80 / 100
9 ms10368 KiB
#include "paint.h" #include <bits/stdc++.h> using namespace std; const int MOD = (int)1e9+7,MOD2=(int)1e9+9; typedef long long ll; ll dp[200002][102],dp2[200002][102]; int cnt[200002],ans[200002][102]; string ANS; string solve_puzzle(string s, vector<int> c) { int n=(int)s.size(),k=(int)c.size(); for (int i = 1; i <= n; ++i) { if(s[i-1]=='_')cnt[i]++; cnt[i]+=cnt[i-1]; } dp[n+1][k+1]=dp2[0][0]=1; for (int i = n; i >= 1; i--) { for (int j = 1; j <= k; ++j){ if((i+c[j-1])<=(n+1) && ((i+c[j-1])==(n+1) || s[i+c[j-1]-1]!='X') && (i==1||(s[i-2]!='X')) && !(cnt[i+c[j-1]-1]-cnt[i-1])){ if((i+c[j-1])==(n+1))dp[i][j]=(dp[i][j]+dp[i+c[j-1]][j+1])%MOD; else dp[i][j]=(dp[i][j]+dp[i+c[j-1]+1][j+1])%MOD; } if(s[i-1]!='X')dp[i][j]=(dp[i][j]+dp[i+1][j])%MOD; } if(s[i-1]!='X')dp[i][k+1]=(dp[i][k+1]+dp[i+1][k+1])%MOD; } for (int i = 1; i <= n; ++i) { for (int j = 1; j <= k; ++j){ if((i-c[j-1])>=0 && (!(i-c[j-1]) || s[i-c[j-1]-1]!='X') && (i==n||(s[i]!='X')) && !(cnt[i]-cnt[i-c[j-1]])){ if(!(i-c[j-1]))dp2[i][j]=(dp2[i][j]+dp2[i-c[j-1]][j-1])%MOD; else dp2[i][j]=(dp2[i][j]+dp2[i-c[j-1]-1][j-1])%MOD; } if(s[i-1]!='X')dp2[i][j]=(dp2[i][j]+dp2[i-1][j])%MOD; } if(s[i-1]!='X')dp2[i][0]=(dp2[i][0]+dp2[i-1][0])%MOD; } for (int i = 1; i <= n; ++i) for (int j = 1; j <= k; ++j){ if((i+c[j-1])<=(n+1) && ((i==1)||s[i-2]!='X') && ((i+c[j-1])==(n+1) || s[i+c[j-1]-1]!='X') && !(cnt[i+c[j-1]-1]-cnt[i-1])) ans[i][j]=(dp[min(n+1,i+c[j-1]+1)][j+1]*dp2[max(0,i-2)][j-1])%MOD; ans[i][j]+=ans[i-1][j]; } for (int i = 1; i <= n; ++i) { if(s[i-1]!='.')ANS.push_back(s[i-1]); else{ ll f=0,f2=0; for (int j = 1; j <= k; ++j){ f=(f+(ans[i][j]-ans[max(1,i-c[j-1]+1)-1][j]+MOD)%MOD)%MOD; f2=(f2+(dp[i+1][j]*dp2[i-1][j-1])%MOD)%MOD; } f2=(f2+(dp[i+1][k+1]*dp2[i-1][k])%MOD)%MOD; if(f==dp[1][1])ANS.push_back('X'); else if(f2==dp[1][1])ANS.push_back('_'); else ANS.push_back('?'); } } return ANS; }
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