Submission #1195079

#TimeUsernameProblemLanguageResultExecution timeMemory
1195079nikulid이상적인 도시 (IOI12_city)C++20
32 / 100
250 ms327680 KiB
#include <climits> #include <vector> #include <queue> using namespace std; /* lemma: I will solve subtasks 1 and 2 proof: */ queue<vector<int>> q; long long ans=0; vector<vector<int>> visitted, exists; // both are [y][x] vector<vector<bool>> DONE; void bfs(int I, int x, int y, int curdist, int ox, int oy){ //cout<<"bfs called..\n"; visitted[y][x]=I; ans %= 1000000000; vector<int> nxt(6); curdist++; //cout<<I<<": visitting ["<<y<<","<<x<<"] with distance "<<curdist<<"\n"; nxt[0]=I; nxt[3]=curdist; nxt[4]=ox; nxt[5]=oy; // coords is [x,y] // UP if(exists[y+1][x] && visitted[y+1][x] != I){ if(exists[y+1][x] > exists[oy][ox]){ ans += curdist; //bfs(I, x+1, y+1, curdist, oy, ox); } nxt[1]=x; nxt[2]=y+1; visitted[y+1][x]=I; q.push(nxt); } // LEFT if(exists[y][x-1] && visitted[y][x-1] != I){ if(exists[y][x-1] > exists[oy][ox]){ ans += curdist; //bfs(I, x-1, y, curdist, oy, ox); } nxt[1]=x-1; nxt[2]=y; visitted[y][x-1]=I; q.push(nxt); } // DOWN if(exists[y-1][x] && visitted[y-1][x] != I){ //cout<<"3rd check outer alert\n"; if(exists[y-1][x] > exists[oy][ox]){ //cout<<"3rd check inner alert\n"; ans += curdist; //bfs(I, x, y-1, curdist, oy, ox); } nxt[1]=x; nxt[2]=y-1; visitted[y-1][x]=I; q.push(nxt); } else{ //cout<<"\tno down.\n"; } // RIGHT if(exists[y][x+1] && visitted[y][x+1] != I){ if(exists[y][x+1] > exists[oy][ox]){ ans += curdist; //bfs(I, x+1, y, curdist, oy, ox); } nxt[1]=x+1; nxt[2]=y; visitted[y][x+1]=I; q.push(nxt); } //cout<<"returning..\n"; return; } int DistanceSum(int N, int *X, int *Y) { DONE = vector<vector<bool>>(N+5, vector<bool>(N+5, 0)); visitted = vector<vector<int>>(N+5, vector<int>(N+5, 0)); exists = vector<vector<int>>(N+5, vector<int>(N+5, 0)); // find min X and Y values, to translate the graph to start at (1,1) int minX=INT_MAX-1, minY=INT_MAX-1; for(int i=0; i<N; i++){ minX = min(minX, X[i]); minY = min(minY, Y[i]); } //cout<<"translating each coordinate "<<minX-1<<" to the left and "<<minY-1<<" down !\n"; for(int i=0; i<N; i++){ exists[Y[i]-minY+1][X[i]-minX+1] = i+1; } vector<int> cur; for(int y=0; y<N; y++){ //cout<<"\n"; for(int x=0; x<N; x++){ //cout<<(exists[y][x] ? "#" : "."); } } //cout<<"\n"; for(int i=0; i<N; i++){ bfs(i+1, X[i]-minX+1, Y[i]-minY+1, 0, X[i]-minX+1, Y[i]-minY+1); while(!q.empty()){ cur = q.front(); q.pop(); bfs(cur[0], cur[1], cur[2], cur[3], cur[4], cur[5]); } } ans %= 1000000000; return ans; }
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