Submission #936194

#TimeUsernameProblemLanguageResultExecution timeMemory
936194GrindMachinePaint By Numbers (IOI16_paint)C++17
100 / 100
199 ms85392 KiB
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace std; using namespace __gnu_pbds; template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; typedef long long int ll; typedef long double ld; typedef pair<int,int> pii; typedef pair<ll,ll> pll; #define fastio ios_base::sync_with_stdio(false); cin.tie(NULL) #define pb push_back #define endl '\n' #define sz(a) (int)a.size() #define setbits(x) __builtin_popcountll(x) #define ff first #define ss second #define conts continue #define ceil2(x,y) ((x+y-1)/(y)) #define all(a) a.begin(), a.end() #define rall(a) a.rbegin(), a.rend() #define yes cout << "Yes" << endl #define no cout << "No" << endl #define rep(i,n) for(int i = 0; i < n; ++i) #define rep1(i,n) for(int i = 1; i <= n; ++i) #define rev(i,s,e) for(int i = s; i >= e; --i) #define trav(i,a) for(auto &i : a) template<typename T> void amin(T &a, T b) { a = min(a,b); } template<typename T> void amax(T &a, T b) { a = max(a,b); } #ifdef LOCAL #include "debug.h" #else #define debug(x) 42 #endif /* */ const int MOD = 1e9 + 7; const int N = 1e5 + 5; const int inf1 = int(1e9) + 5; const ll inf2 = ll(1e18) + 5; #include "paint.h" std::string solve_puzzle(std::string s, std::vector<int> a) { int n = sz(s); s = "$" + s; int m = sz(a); a.insert(a.begin(),0); vector<int> p(n+5); rep1(i,n) p[i] = p[i-1]+(s[i] == '_'); bool dp1[n+5][m+5][2], dp2[n+5][m+5][2]; memset(dp1,0,sizeof dp1); memset(dp2,0,sizeof dp2); dp1[0][0][0] = 1; rep1(i,n){ rep(j,m+1){ if(s[i] != 'X'){ dp1[i][j][0] = dp1[i-1][j][0]|dp1[i-1][j][1]; } if(s[i] != '_'){ if(j and i-a[j] >= 0 and p[i]-p[i-a[j]] == 0){ dp1[i][j][1] = dp1[i-a[j]][j-1][0]; } } } } dp2[n+1][m+1][0] = 1; rev(i,n,1){ rep1(j,m+1){ if(s[i] != 'X'){ dp2[i][j][0] = dp2[i+1][j][0]|dp2[i+1][j][1]; } if(s[i] != '_'){ if(j <= m and i+a[j] <= n+1 and p[i+a[j]-1]-p[i-1] == 0){ dp2[i][j][1] = dp2[i+a[j]][j+1][0]; } } } } vector<bool> white(n+5), black(n+5); rep1(i,n){ if(s[i] == 'X') conts; rep(j,m+1){ if((dp1[i-1][j][0]|dp1[i-1][j][1]) and (dp2[i+1][j+1][0]|dp2[i+1][j+1][1])){ white[i] = 1; } } } vector<int> diff(n+5); rep(i,n+1){ rep(j,m){ int len = a[j+1]; if(i+len+1 <= n+1){ if(dp1[i][j][0] and dp2[i+len+1][j+2][0]){ int white_cnt = p[i+len]-p[i]; if(white_cnt == 0){ diff[i+1]++; diff[i+len+1]--; } } } } } rep1(i,n){ diff[i] += diff[i-1]; black[i] = (diff[i] > 0); } string ans = ""; rep1(i,n){ if(s[i] != '.'){ ans.pb(s[i]); conts; } bool w = white[i], b = black[i]; if(w+b == 2){ ans.pb('?'); } else if(w){ ans.pb('_'); } else if(b){ ans.pb('X'); } else{ assert(0); } } return ans; }
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