제출 #424086

#제출 시각아이디문제언어결과실행 시간메모리
424086cfalas이상적인 도시 (IOI12_city)C++17
11 / 100
1026 ms708 KiB
#include<bits/stdc++.h> using namespace std; #define mp make_pair #define INF 10000000 #define MOD 1000000000 #define MID ((l+r)/2) #define HASHMOD 2305843009213693951 #define ll long long #define ull unsigned long long #define F first #define S second typedef pair<int, int> ii; typedef pair<ii, int> iii; typedef vector<int> vi; typedef vector<ii> vii; typedef map<int, int> mii; #define EPS 1e-6 #define FOR(i,n) for(int i=0;i<((int)(n));i++) #define FORi(i,a,b) for(int i=((int)(a));i<((int)(b));i++) #define FOA(v, a) for(auto v : a) vi a, b; ii diag[4] = {{0,-1}, {0,1}, {-1,0}, {1,0}}; ll paris(ii x){ return ((ll)x.F)*(INT_MAX+1ll) + x.S; } ii unparis(ll x){ return {x/(INT_MAX+1ll), x%(INT_MAX+1ll)}; } int DistanceSum(int n, int *X, int *Y) { if(n<=2000){ unordered_map<ll, vector<ll> > adj; FOR(i,n){ FORi(j,i+1,n){ if(abs(X[i]-X[j])+abs(Y[i]-Y[j])==1){ adj[paris({X[i], Y[i]})].push_back(paris({X[j], Y[j]})); adj[paris({X[j], Y[j]})].push_back(paris({X[i], Y[i]})); } } } int ans=0; FOR(i,n){ // bfs from i unordered_set<ll> used; queue<ll> q; q.push(paris({X[i], Y[i]})); used.insert(paris({X[i], Y[i]})); q.push(-1); int d=0; //cout<<X[i]<<" "<<Y[i]<<": "<<endl; while(q.size()>1){ ll t = q.front(); q.pop(); if(t==-1){ d++; q.push(-1); continue; } //cout<<t.F<<" "<<t.S<<" "<<d<<endl; ans+=d; ans%=MOD; FOA(x, adj[t]){ if(!used.count(x)){ q.push(x); used.insert(x); } } } } return ans/2; } ll ans=0; int minx=INT_MAX, maxx=0; int miny=INT_MAX, maxy=0; FOR(i,n){ minx = min(minx, X[i]); maxx = max(maxx, X[i]); miny = min(miny, Y[i]); maxy = max(maxy, Y[i]); } int c=maxx-minx+1; int r=maxy-miny+1; FOR(i,n){ X[i]-=minx; Y[i]-=miny; if(X[i]>0 && Y[i]>0){ int xx = X[i]; int yy = Y[i]; ans+=(xx+yy - 2)*xx*yy/2; ans+=(xx*yy)*2; ans%=MOD; } if(X[i]>0 && Y[i]<r-1){ int xx = X[i]; int yy = r - Y[i]-1; ans+=(xx+yy - 2)*xx*yy/2; ans+=(xx*yy)*2; ans%=MOD; } if(X[i]<c-1 && Y[i]>0){ int xx = c - X[i]-1; int yy = Y[i]; ans+=(xx+yy - 2)*xx*yy/2; ans+=(xx*yy)*2; ans%=MOD; } if(X[i]<c-1 && Y[i]<r-1){ int xx = c - X[i]-1; int yy = r - Y[i]-1; ans+=(xx+yy - 2)*xx*yy/2; ans+=(xx*yy)*2; ans%=MOD; } ans+=X[i]*(X[i]+1)/2; ans%=MOD; ans+=Y[i]*(Y[i]+1)/2; ans%=MOD; ans+=(c-X[i]-1)*(c-X[i])/2; ans%=MOD; ans+=(r-Y[i]-1)*(r-Y[i])/2; ans%=MOD; } return ans/2; }
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