题目大意:

有n个出车安排,一辆车能接到这个安排的条件是:1、这辆车第一次发车;2、这辆车接了上一个安排,回到这个安排的起点的时间正好是这个安排的前一分钟或者更早 

解题报告:

  建图然后跑最小路径覆盖。就是答案。注意搭边的条件不是光看距离,还要加上每个任务的起点到终点的时间。

AC代码:(116ms)

#include<bits/stdc++.h>

using namespace std;
int n;
int a,b;
int line[1005][1005];
int nxt[1005];
bool used[1005];
struct Node {
int x[3],y[3];
int time;
int dis;
} node[10005];
bool find(int x) {
for(int i = 1; i<=n; i++) {
if(line[x][i] == 1 && used[i] == 0) {
used[i]=1;
if(nxt[i] == 0 || find(nxt[i])) {
nxt[i]=x;
return 1;
}
}
}
return 0;
}
int main()
{
int t;
cin>>t;
while(t--) {
scanf("%d",&n);
memset(line,0,sizeof line);
memset(nxt,0,sizeof nxt);
for(int i = 1; i<=n; i++) {
scanf("%d:%d %d %d %d %d",&a,&b,&node[i].x[0],&node[i].y[0],&node[i].x[1],&node[i].y[1]);
node[i].time = a*60+b;
node[i].dis = abs(node[i].x[0]-node[i].x[1]) + abs(node[i].y[0] - node[i].y[1]);
}
for(int i = 1; i<=n; i++) {
for(int j = 1; j<=n; j++) {//或者j=i+1都可以ac
if(node[i].dis + node[i].time + abs(node[j].x[0]-node[i].x[1]) + abs(node[j].y[0] - node[i].y[1]) < node[j].time) {
line[i][j] = 1;
}
}
}
int ans = 0;
for(int i = 1; i<=n; i++) {
memset(used,0,sizeof used);
if(find(i)) ans++;
}
printf("%d\n",n-ans);
}

return 0 ;
}

AC代码2:(26ms)

//邻接表会快多少?
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cstdlib>
#include <vector>
using namespace std;

const int N = 505;

int t, n;

struct People {
int s, x1, y1, x2, y2;
void read() {
int h, m;
scanf("%d:%d%d%d%d%d", &h, &m, &x1, &y1, &x2, &y2);
s = h * 60 + m;
}
bool operator < (const People& c) const {
return s < c.s;
}
} p[N];

vector<int> g[N];

bool judge(People a, People b) {
int tmp = a.s + abs(a.x2 - a.x1) + abs(a.y2 - a.y1) + abs(a.x2 - b.x1) + abs(a.y2 - b.y1);
if (tmp < b.s) return true;
return false;
}

int match[N], vis[N];

bool dfs(int u) {
for (int i = 0; i < g[u].size(); i++) {
int v = g[u][i];
if (vis[v]) continue;
vis[v] = 1;
if (match[v] == -1 || dfs(match[v])) {
match[v] = u;
return true;
}
}
return false;
}

int hungary() {
int ans = 0;
memset(match, -1, sizeof(match));
for (int i = 0; i < n; i++) {
memset(vis, 0, sizeof(vis));
if (dfs(i)) ans++;
}
return ans;
}

int main() {
scanf("%d", &t);
while (t--) {
scanf("%d", &n);
for (int i = 0; i < n; i++) {
g[i].clear();
p[i].read();
}
sort(p, p + n);
for (int i = 0; i < n; i++)
for (int j = i + 1; j < n; j++) {
if (judge(p[i], p[j]))
g[i].push_back(j);
}
printf("%d\n", n - hungary());
}
return 0;
}

总结:

想想为什么 j=1或者j=i+1都可以AC????

20190504:因为你sort了,,这样j=1~i这一部分都没必要遍历了,因为肯定不符合题意。