Submission #546007

#TimeUsernameProblemLanguageResultExecution timeMemory
546007adamjinweiPaint By Numbers (IOI16_paint)C++14
100 / 100
593 ms43408 KiB
#include <bits/stdc++.h> #include "paint.h" #define inf 1000000007 #define mod 1000000007 // #define int long long // #pragma GCC optimize("Ofast","inline","-ffast-math") // #pragma GCC target("avx,sse2,sse3,sse4,mmx") using namespace std; template <typename T> void read(T &x){ x=0;char ch=getchar();int fh=1; while (ch<'0'||ch>'9'){if (ch=='-')fh=-1;ch=getchar();} while (ch>='0'&&ch<='9')x=x*10+ch-'0',ch=getchar(); x*=fh; } template <typename T> void write(T x) { if (x<0) x=-x,putchar('-'); if (x>9) write(x/10); putchar(x%10+'0'); } template <typename T> void writeln(T x) { write(x); puts(""); } int n,k; char s[300005]; int c[105]; int sumb[200005],sumw[200005]; bool dpf[105][200005],dpb[105][200005]; bool canb[200005],canw[200005],canst[200005]; bool check(int l,int r,int op) { if(l<1||r>n) return false; if(op!=1&&l-1>=1&&s[l-1]=='X') return false; if(op!=0&&r+1<=n&&s[r+1]=='X') return false; if(sumw[r]-sumw[l-1]>0) return false; return true; } string solve_puzzle(string S,vector<int> C) { n=S.size(),k=C.size(); for(int i=1;i<=n;++i) s[i]=S[i-1]; for(int i=1;i<=k;++i) c[i]=C[i-1]; for(int i=1;i<=n;++i) sumb[i]=sumb[i-1]+(s[i]=='X'),sumw[i]=sumw[i-1]+(s[i]=='_'); for(int i=0;i<=k;++i) for(int j=0;j<=n;++j) { if(!i) dpf[i][j]=(!sumb[j]); else if(!j) dpf[i][j]=0; else if(s[j]=='_') dpf[i][j]=dpf[i][j-1]; else if(s[j]=='X') dpf[i][j]=(check(j-c[i]+1,j,0)&&dpf[i-1][max(0,j-c[i]-1)]); else dpf[i][j]=(dpf[i][j-1]||(check(j-c[i]+1,j,0)&&dpf[i-1][max(0,j-c[i]-1)])); } for(int i=k+1;i>=1;--i) for(int j=n+1;j>=1;--j) { if(i==k+1) dpb[i][j]=(!(sumb[n]-sumb[j-1])); else if(j==n+1) dpb[i][j]=0; else if(s[j]=='_') dpb[i][j]=dpb[i][j+1]; else if(s[j]=='X') dpb[i][j]=(check(j,j+c[i]-1,1)&&dpb[i+1][min(n+1,j+c[i]+1)]); else dpb[i][j]=(dpb[i][j+1]||(check(j,j+c[i]-1,1)&&dpb[i+1][min(n+1,j+c[i]+1)])); } for(int i=1;i<=n;++i) { if(s[i]=='X') continue; for(int j=0;j<=k;++j) canw[i]|=(dpf[j][i-1]&&dpb[j+1][i+1]); } for(int i=1;i<=k;++i) { for(int j=1;j<=n;++j) canst[j]=(check(j,j+c[i]-1,2)&&dpf[i-1][max(0,j-2)]&&dpb[i+1][min(n+1,j+c[i]+1)]); int cur=0; for(int j=1;j<=n;++j) { cur+=canst[j];if(j-c[i]>=1) cur-=canst[j-c[i]]; canb[j]|=(cur>0); } } string ans; for(int i=1;i<=n;++i) if(canb[i]&&canw[i]) ans+="?"; else if(canb[i]) ans+="X"; else ans+="_"; return ans; }
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