Submission #1018609

# Submission time Handle Problem Language Result Execution time Memory
1018609 2024-07-10T07:25:17 Z pcc Ideal city (IOI12_city) C++17
0 / 100
6 ms 3164 KB
#include <bits/stdc++.h>
using namespace std;

#define pii pair<int,int>
#define fs first
#define sc second
#define ll long long

const int mod = 1e9;
const int mxn = 1e5+10;
vector<int> paths[mxn];
vector<pii> v;
int N;

ll mad(ll a,ll b){
	assert(a>=0&&b>=0);
	a %= mod;
	a += b;
	return a>=mod?a%mod:a;
}
ll mub(int a,int b){
	assert(a>=0&&b>=0);
	return mad(a,mod-b%mod);
}

namespace SUB1{
	int dist[mxn];
	queue<int> q;
	int BFS(int now){
		memset(dist,-1,sizeof(dist));
		dist[now] = 0;
		q.push(now);
		while(!q.empty()){
			auto now = q.front();
			q.pop();
			for(auto nxt:paths[now]){
				if(dist[nxt] == -1){
					dist[nxt] = dist[now]+1;
					q.push(nxt);
				}
			}
		}
		int re = 0;
		for(int i = 0;i<N;i++)re = (re+dist[i])%mod;
		return re;
	}
	int GO(int NN,int* xx,int *yy){
		N = NN;

		for(int i = 0;i<N;i++){
			v.push_back(pii(xx[i],yy[i]));
		}
		vector<int> perm;
		for(int i = 0;i<N;i++)perm.push_back(i);
		sort(perm.begin(),perm.end(),[](int a,int b){return v[a].fs == v[b].fs?v[a].sc<v[b].sc:v[a].fs<v[b].fs;});
		for(int i = 1;i<N;i++){
			int now = perm[i],pre = perm[i-1];
			if(v[now].fs == v[pre].fs&&v[now].sc == v[pre].sc+1){
				paths[now].push_back(pre);
				paths[pre].push_back(now);
			}
		}
		sort(perm.begin(),perm.end(),[](int a,int b){return v[a].sc == v[b].sc?v[a].fs<v[b].fs:v[a].sc<v[b].sc;});
		for(int i = 1;i<N;i++){
			int now = perm[i],pre = perm[i-1];
			if(v[now].sc == v[pre].sc&&v[now].fs == v[pre].fs+1){
				paths[now].push_back(pre);
				paths[pre].push_back(now);
			}
		}
		int ans = 0;
		for(int i = 0;i<N;i++){
			ans += BFS(i);
			ans %= mod;
		}
		assert(ans%2 == 0);
		return ans>>1;
	}
}

namespace SUB2{
	vector<int> vx,vy;
	int GO(int NN,int *X,int *Y){
		N = NN;
		ll ans = 0;
		sort(X,X+N);sort(Y,Y+N);
		ll suf = 0,pref = 0,cnt = 0;
		for(int i = 0;i<N;i++)suf += X[i];
		for(int i = 0;i<N;i++){
			ans += (1ll*X[i]*cnt-pref)+suf-1ll*X[i]*(N-cnt);
			cnt++;
			pref += X[i];
			suf -= X[i];
			ans %= mod;
		}
		suf = pref = cnt = 0;
		for(int i = 0;i<N;i++)suf += Y[i];
		for(int i = 0;i<N;i++){
			ans += (1ll*Y[i]*cnt-pref)+suf-1ll*Y[i]*(N-cnt);
			cnt++;
			pref += Y[i];
			suf -= Y[i];
			ans %= mod;
		}
		assert(ans%2 == 0);
		return ans>>1;
	}
}

int DistanceSum(int N, int *X, int *Y) {
	return SUB2::GO(N,X,Y);
	if(N<=2000)return SUB1::GO(N,X,Y);
	else return SUB2::GO(N,X,Y);
}
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 2904 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 2908 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 5 ms 3164 KB Output is correct
2 Incorrect 4 ms 3164 KB Output isn't correct
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 6 ms 3164 KB Output isn't correct
2 Halted 0 ms 0 KB -