poj 3686 Priest John's Busiest Day

Posted 2020-10-24 日拱一卒 功不唐捐

http://poj.org/problem?id=3683

 

2-sat 问题判定，输出一组可行解

http://www.cnblogs.com/TheRoadToTheGold/p/8436948.html

 

注：

本代码在判断两个时间段部分有误，数据弱A了

 

#include<cstdio>
#include<vector>

using namespace std;

#define N 1001

struct TIME
{
    int h1,m1;
    int h2,m2;
    int tim;
}e[N];

int n;
int tot;

int front[N<<1],to[N*N*8],nxt[N*N*8];

int dfn[N<<1],low[N<<1];
int st[N<<1],top;
bool vis[N<<1];

int cnt;
int id[N<<1];
vector<int>V[N<<1];

int FRONT[N<<1],TO[N*N*8],NXT[N*N*8],TOT;
int in[N<<1];

bool use[N<<1],cut[N<<1];

struct ANS
{
    int h1,m1;
    int h2,m2;
}ans[N];

void add(int u,int v)
{
    to[++tot]=v; nxt[tot]=front[u]; front[u]=tot;
}

void ADD(int u,int v)
{
    TO[++TOT]=v; NXT[TOT]=FRONT[u]; FRONT[u]=TOT;
    in[v]++;
}

bool judge(int h1s,int m1s,int h1t,int m1t,int h2s,int m2s,int h2t,int m2t)
{
    int s1=(h1s-1)*60+m1s;
    int t1=(h1t-1)*60+m1t;
    int s2=(h2s-1)*60+m2s;
    int t2=(h2t-1)*60+m2t;
    if(s1<=s2)
    {
        if(s2>=t1) return false;
        return true; 
    }
    else
    {
        if(t2<=s1) return false;
        return true;
    }
}

void tarjan(int u)
{
    dfn[u]=low[u]=++tot;
    st[++top]=u;
    vis[u]=true;
    for(int i=front[u];i;i=nxt[i])
    {
        if(!dfn[to[i]])
        {
            tarjan(to[i]);
            low[u]=min(low[u],low[to[i]]);
        }
        else if(vis[to[i]]) low[u]=min(low[u],dfn[to[i]]);
    }
    if(dfn[u]==low[u])
    {
        cnt++;
        while(st[top]!=u)
        {
            id[st[top]]=cnt;
            vis[st[top]]=false;
            V[cnt].push_back(st[top--]);
        }
        id[u]=cnt;
        vis[u]=false;
        V[cnt].push_back(u);
        top--;
    }
}

void rebuild()
{
    for(int k=1;k<=n;++k)
    {
        int i=k<<1;
        for(int j=front[i];j;j=nxt[j])
            if(id[i]!=id[to[j]]) ADD(id[to[j]],id[i]);
        i=k<<1|1;
        for(int j=front[i];j;j=nxt[j])
            if(id[i]!=id[to[j]]) ADD(id[to[j]],id[i]);
    }
}

void out(int h,int m)
{
    if(m>0 && m<60) printf("%02d:%02d",h,m);
    else if(m<0)
    {
        if(!(m%60))
        {
            h+=m/60;
            printf("%02d:00",h);
        }
        else
        {
            h+=m/60;
            h--;
            m%=60;
            if(m<0) m+=60;
            printf("%02d:%02d",h,m);
        }
    }
    else
    {
        h+=m/60;
        m%=60;
        printf("%02d:%02d",h,m);
    }
}

void topsort()
{
    for(int i=1;i<=cnt;++i)
        if(!in[i]) st[++top]=i;
    int u,v;
    while(top)
    {
        u=st[top--];
        if(cut[u]) continue;
        use[u]=true;
        v=id[V[u][0]^1];
        cut[v]=true;
        for(int i=FRONT[u];i;i=NXT[i])
        {
            in[TO[i]]--;
            if(!in[TO[i]]) st[++top]=TO[i];
        }
        //for(int i=FRONT[v];i;i=NXT[i]) cut[TO[i]]=true;
    }
    for(int i=1;i<=n;++i)
        if(use[id[i<<1]]) 
        {
            ans[i].h1=e[i].h1;
            ans[i].m1=e[i].m1;
            ans[i].h2=e[i].h1;
            ans[i].m2=e[i].m1+e[i].tim;
        }
        else 
        {
            ans[i].h1=e[i].h2;
            ans[i].m1=e[i].m2-e[i].tim;
            ans[i].h2=e[i].h2;
            ans[i].m2=e[i].m2;
        }
    puts("YES");
    for(int i=1;i<=n;++i)
    {
        out(ans[i].h1,ans[i].m1);
        putchar(\' \');
        out(ans[i].h2,ans[i].m2);
        putchar(\'\\n\');
    }
}

int main()
{
    scanf("%d",&n);
    for(int i=1;i<=n;++i) 
    {
        scanf("%d:%d",&e[i].h1,&e[i].m1);
        scanf("%d:%d",&e[i].h2,&e[i].m2);
        scanf("%d",&e[i].tim);
    }
    for(int i=1;i<n;++i)
        for(int j=i+1;j<=n;++j)
            if(i!=j)
            { 
                if(judge(e[i].h1,e[i].m1,e[i].h1,e[i].m1+e[i].tim,e[j].h1,e[j].m1,e[j].h1,e[j].m1+e[j].tim))
                       add(i<<1,j<<1|1),add(j<<1,i<<1|1);
                if(judge(e[i].h1,e[i].m1,e[i].h1,e[i].m1+e[i].tim,e[j].h2,e[j].m2-e[j].tim,e[j].h2,e[j].m2)) 
                    add(i<<1,j<<1),add(j<<1|1,i<<1|1);
                if(judge(e[i].h2,e[i].m2-e[i].tim,e[i].h2,e[i].m2,e[j].h1,e[j].m1,e[j].h1,e[j].m1+e[j].tim))
                    add(i<<1|1,j<<1|1),add(j<<1,i<<1);
                if(judge(e[i].h2,e[i].m2-e[i].tim,e[i].h2,e[i].m2,e[j].h2,e[j].m2-e[j].tim,e[j].h2,e[j].m2)) 
                    add(i<<1|1,j<<1),add(j<<1|1,i<<1);
            }
    tot=0;
    for(int i=1;i<=n;++i)
    {
        if(!dfn[i<<1]) tarjan(i<<1);
        if(!dfn[i<<1|1]) tarjan(i<<1|1);
    }
    for(int i=1;i<=n;++i)
        if(id[i<<1]==id[i<<1|1]) 
        {
            puts("NO");
            return 0;
        }
    rebuild();
    topsort();
}

 

Priest John\'s Busiest Day

Time Limit: 2000MS		Memory Limit: 65536K
Total Submissions: 11007		Accepted: 3759		Special Judge

Description

John is the only priest in his town. September 1st is the John\'s busiest day in a year because there is an old legend in the town that the couple who get married on that day will be forever blessed by the God of Love. This year N couples plan to get married on the blessed day. The i-th couple plan to hold their wedding from time S_i to time T_i. According to the traditions in the town, there must be a special ceremony on which the couple stand before the priest and accept blessings. The i-th couple need D_i minutes to finish this ceremony. Moreover, this ceremony must be either at the beginning or the ending of the wedding (i.e. it must be either from S_i to S_i + D_i, or from T_i - D_i to T_i). Could you tell John how to arrange his schedule so that he can present at every special ceremonies of the weddings.

Note that John can not be present at two weddings simultaneously.

Input

The first line contains a integer N ( 1 ≤ N ≤ 1000). 
The next N lines contain the S_i, T_i and D_i. S_i and T_i are in the format of hh:mm.

Output

The first line of output contains "YES" or "NO" indicating whether John can be present at every special ceremony. If it is "YES", output another N lines describing the staring time and finishing time of all the ceremonies.

Sample Input

2
08:00 09:00 30
08:15 09:00 20

Sample Output

YES
08:00 08:30
08:40 09:00

Source

POJ Founder Monthly Contest – 2008.08.31, Dagger and Facer