ICPCCamp 2016 Day 1 - B All Pair Shortest Path (bitset)

时间:2023-02-03 09:24:55
#include <iostream>
#include <cstring>
#include <cstdio>
#include <queue>
using namespace std;

#define N 2020
#define M 200020
#define LL long long


struct bs {
#define K 40
#define B 60

	LL a[K];
	void reset() {
		for(int i = 0; i < K; ++i) a[i] = 0;
	}
	void set(int k, int v) {
		int t = k / B;
		int p = k % B;
		if(v == 1) a[t] |= 1LL << p;
		else {
			a[t] |= (1LL << p);
			a[t] ^= 1LL << p;
		}
	}
	bs operator & (const bs &b) const {
		bs ret;
		ret.reset();
		for(int i = 0; i < K; ++i) {
			ret.a[i] = a[i] & b.a[i];
		}
		return ret;
	}
	int lowbit() {
		for(int i = 0; i < K; ++i) {
			if(a[i] == 0) continue;
			int ret = 0;
			LL t = a[i];
			while(t % 2 == 0) {
				++ret;
				t /= 2;
			}
			a[i] -= a[i] & -a[i];
			return ret + i * B;
		}
		return 0;
	}
};
bs d[N];
char s[N];
int n;
int dis[N];
bs vis, tmp;

LL bfs(int src) {
	queue<int> q;
	vis.reset();
	for(int i = 1; i <= n; ++i) dis[i] = n, vis.set(i, 1);
	dis[src] = 0;
	q.push(src);
	vis.set(src, 0);
	while(!q.empty()) {
		int u = q.front(); q.pop();
		tmp = vis & d[u];
		int x;
		while(x = tmp.lowbit()) {
			dis[x] = dis[u] + 1;
			vis.set(x, 0);
			q.push(x);
		}
	}
	LL ret = 0;
	for(int i = 1; i <= n; ++i) ret += 1LL * dis[i] * dis[i];
	return ret;
}


int main() {
	scanf("%d", &n);
	for(int i = 1; i <= n; ++i) {
		d[i].reset();
		scanf("%s", s + 1);
		for(int j = 1; j <= n; ++j) {
			d[i].set(j, s[j] - 48);
		}
	}
	LL ans = 0;
	for(int i = 1; i <= n; ++i) ans += bfs(i);
	cout << ans << endl;
	return 0;
}