hdu 3572 Task Schedule(最大流)

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题目:

Task Schedule

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 5748    Accepted Submission(s): 1848


Problem Description
Our geometry princess XMM has stoped her study in computational geometry to concentrate on her newly opened factory. Her factory has introduced M new machines in order to process the coming N tasks. For the i-th task, the factory has to start processing it at or after day Si, process it for Pi days, and finish the task before or at day Ei. A machine can only work on one task at a time, and each task can be processed by at most one machine at a time. However, a task can be interrupted and processed on different machines on different days. 
Now she wonders whether he has a feasible schedule to finish all the tasks in time. She turns to you for help.
 

Input
On the first line comes an integer T(T<=20), indicating the number of test cases.

You are given two integer N(N<=500) and M(M<=200) on the first line of each test case. Then on each of next N lines are three integers Pi, Si and Ei (1<=Pi, Si, Ei<=500), which have the meaning described in the description. It is guaranteed that in a feasible schedule every task that can be finished will be done before or at its end day.
 

Output
For each test case, print “Case x: ” first, where x is the case number. If there exists a feasible schedule to finish all the tasks, print “Yes”, otherwise print “No”.

Print a blank line after each test case.
 

Sample Input
  
  
2 4 3 1 3 5 1 1 4 2 3 7 3 5 9 2 2 2 1 3 1 2 2
 

Sample Output
  
  
Case 1: Yes Case 2: Yes
 

Author
allenlowesy
 

Source
 

Recommend
zhouzeyong
 

题意:有N个任务,M台机器,任务i在Si开始,Ei之前结束,要用Pi天,每台机器每天只能执行一个任务,一个任务每天也只能交给一台机器执行,但可以在不同的天由不同的机器执行,问是否有安排方案满足。

思路:每个任务与源点建边,容量为Pi,与Si到Ei的每条边都连边,容量为1,每天与汇点连边,容量为M。

代码:

#include <cstdlib>
#include <cctype>
#include <cstring>
#include <cstdio>
#include <cmath>
#include<climits>
#include <algorithm>
#include <vector>
#include <string>
#include <iostream>
#include <sstream>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <fstream>
#include <numeric>
#include <iomanip>
#include <bitset>
#include <list>
#include <stdexcept>
#include <functional>
#include <utility>
#include <ctime>
using namespace std;

#define PB push_back
#define MP make_pair

#define REP(i,x,n) for(int i=x;i<(n);++i)
#define FOR(i,l,h) for(int i=(l);i<=(h);++i)
#define FORD(i,h,l) for(int i=(h);i>=(l);--i)
#define SZ(X) ((int)(X).size())
#define ALL(X) (X).begin(), (X).end()
#define RI(X) scanf("%d", &(X))
#define RII(X, Y) scanf("%d%d", &(X), &(Y))
#define RIII(X, Y, Z) scanf("%d%d%d", &(X), &(Y), &(Z))
#define DRI(X) int (X); scanf("%d", &X)
#define DRII(X, Y) int X, Y; scanf("%d%d", &X, &Y)
#define DRIII(X, Y, Z) int X, Y, Z; scanf("%d%d%d", &X, &Y, &Z)
#define OI(X) printf("%d",X);
#define RS(X) scanf("%s", (X))
#define MS0(X) memset((X), 0, sizeof((X)))
#define MS1(X) memset((X), -1, sizeof((X)))
#define LEN(X) strlen(X)
#define F first
#define S second
#define Swap(a, b) (a ^= b, b ^= a, a ^= b)
#define Dpoint  strcut node{int x,y}
#define cmpd int cmp(const int &a,const int &b){return a>b;}

 /*#ifdef HOME
    freopen("in.txt","r",stdin);
    #endif*/
const int MOD = 1e9+7;
typedef vector<int> VI;
typedef vector<string> VS;
typedef vector<double> VD;
typedef long long LL;
typedef pair<int,int> PII;
//#define HOME

int Scan()
{
	int res = 0, ch, flag = 0;

	if((ch = getchar()) == '-')				//判断正负
		flag = 1;

	else if(ch >= '0' && ch <= '9')			//得到完整的数
		res = ch - '0';
	while((ch = getchar()) >= '0' && ch <= '9' )
		res = res * 10 + ch - '0';

	return flag ? -res : res;
}
/*----------------PLEASE-----DO-----NOT-----HACK-----ME--------------------*/

const int MAXN=20010;//点数的最大值
const int MAXM=880010;//边数的最大值
const int INF=0x3f3f3f3f;

struct Node
{
    int from,to,next;
    int cap;
}edge[MAXM];
int tol;
int head[MAXN];
int dep[MAXN];
int gap[MAXN];//gap[x]=y :说明残留网络中dep[i]==x的个数为y

//n是总的点的个数,包括源点和汇点

void init()
{
    tol=0;
    memset(head,-1,sizeof(head));
}

void addedge(int u,int v,int w)
{
    edge[tol].from=u;
    edge[tol].to=v;
    edge[tol].cap=w;
    edge[tol].next=head[u];
    head[u]=tol++;
    edge[tol].from=v;
    edge[tol].to=u;
    edge[tol].cap=0;
    edge[tol].next=head[v];
    head[v]=tol++;
}
void BFS(int start,int end)
{
    memset(dep,-1,sizeof(dep));
    memset(gap,0,sizeof(gap));
    gap[0]=1;
    int que[MAXN];
    int front,rear;
    front=rear=0;
    dep[end]=0;
    que[rear++]=end;
    while(front!=rear)
    {
        int u=que[front++];
        if(front==MAXN)front=0;
        for(int i=head[u];i!=-1;i=edge[i].next)
        {
            int v=edge[i].to;
            if(dep[v]!=-1)continue;
            que[rear++]=v;
            if(rear==MAXN)rear=0;
            dep[v]=dep[u]+1;
            ++gap[dep[v]];
        }
    }
}
int SAP(int start,int end,int n)
{
    int res=0;
    BFS(start,end);
    int cur[MAXN];
    int S[MAXN];
    int top=0;
    memcpy(cur,head,sizeof(head));
    int u=start;
    int i;
    while(dep[start]<n)
    {
        if(u==end)
        {
            int temp=INF;
            int inser;
            for(i=0;i<top;i++)
               if(temp>edge[S[i]].cap)
               {
                   temp=edge[S[i]].cap;
                   inser=i;
               }
            for(i=0;i<top;i++)
            {
                edge[S[i]].cap-=temp;
                edge[S[i]^1].cap+=temp;
            }
            res+=temp;
            top=inser;
            u=edge[S[top]].from;
        }
        if(u!=end&&gap[dep[u]-1]==0)//出现断层,无增广路
          break;
        for(i=cur[u];i!=-1;i=edge[i].next)
           if(edge[i].cap!=0&&dep[u]==dep[edge[i].to]+1)
             break;
        if(i!=-1)
        {
            cur[u]=i;
            S[top++]=i;
            u=edge[i].to;
        }
        else
        {
            int min=n;
            for(i=head[u];i!=-1;i=edge[i].next)
            {
                if(edge[i].cap==0)continue;
                if(min>dep[edge[i].to])
                {
                    min=dep[edge[i].to];
                    cur[u]=i;
                }
            }
            --gap[dep[u]];
            dep[u]=min+1;
            ++gap[dep[u]];
            if(u!=start)u=edge[S[--top]].from;
        }
    }
    return res;
}
int emp=0,rownum=0,colnum=0;
struct A
{
    int x;
    int y;
    int val;
}row[15000],col[15000];
int g[200][200];
int print(int tp)
{
    int id=tp+rownum;
    int ans=0;
    for(int i=head[id];i!=-1;i=edge[i].next)
    {
        int v=edge[i].to;
         if(v<=rownum)
            {ans+=edge[i].cap;
            break;}

    }
    return ans+1;

}
int main()
{
int n,m;

while(RII(n,m)!=EOF)
{MS0(g);
init();
char s[10];
emp=0,rownum=0,colnum=0;
for(int i=0;i<n;i++)
    for(int j=0;j<m;j++)
    {
        scanf("%s",s);
        if(s[0]=='.')
            g[i][j]=++emp;
        else
        {if(s[4]!='X')
        {   int v=(s[4]-'0')*100+(s[5]-'0')*10+s[6]-'0';
            row[++rownum].x=i;
            row[rownum].y=j;
            row[rownum].val=v;
        }
        if(s[0]!='X')
        {
            int v=(s[0]-'0')*100+(s[1]-'0')*10+s[2]-'0';
            col[++colnum].x=i;
            col[colnum].y=j;
            col[colnum].val=v;
        }

        }
    }
int S=0,T=emp+rownum+colnum+1;
for(int i=1;i<=rownum;i++)
{
    int x=row[i].x;
    int y=row[i].y;
    int v=row[i].val;
    int cnt=0;
    for(int j=y+1;j<m;j++)
    {
        if(g[x][j]!=0)
        {
            cnt++;
            addedge(i,rownum+g[x][j],8);
        }
        else
            break;
    }
    addedge(0,i,v-cnt);
}
for(int i=1;i<=colnum;i++)
{
    int x=col[i].x;
    int y=col[i].y;
    int v=col[i].val;
    int cnt=0;
    for(int j=x+1;j<n;j++)
    {
        if(g[j][y])
        {
            cnt++;
            addedge(rownum+g[j][y],rownum+emp+i,8);
        }
        else
            break;
    }
    addedge(rownum+emp+i,T,v-cnt);
}

SAP(S,T,T+1);
for(int i=0;i<n;i++)
    for(int j=0;j<m;j++)
{
    if(g[i][j]==0)
        printf("_");
    else
    {
        printf("%d",print(g[i][j]));
    }
    if(j==m-1)
        printf("\n");
    else
        printf(" ");
}


}

        return 0;
}


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