POJ-3686 The windy ' s km algorithm disassembly humorous

Source: Internet
Author: User

Ref: 40680053

Test instructions

There are n orders, m factories, the first order in the J Factory production time is t[i][j], the same factory can produce multiple orders, but only one order at a time, that is, if the first production of a order, then B orders to wait until a production after the production, Ask n orders the minimum amount of time required to complete the production of this M factory.

Ideas:

This problem seems to use the cost flow can also, the idea of building a map seems to be the same. The time spent on each order is related to the order of waiting in the factory. Obviously, if a factory has a K order, then the first commodity T1 time, the Second product is (T1 + T2) time, the third product is (T1+T2+T3) ... Because we are considering the total time, add up = T1 + (t1 + t2) + (t1 + t2 + T3) ... (T1 + t2 ... tk). Go to parentheses to find K*t1 + (K-1) * t2 + ... tk. But here you may be as overwhelmed as I am. T1 contributed K times, T2 contributed (K-1) times, TK contributed one times. To make it clearer, a factory's Countdown I order contributes to the time of I * t. So we're going to open n points for each factory, and this point represents the contribution of an item on the left at the time of paragraph (1~n). Is the idea of splitting, and each factory splits n cases.

Picture may be better understood (copied from reference)

#include <algorithm>#include<iterator>#include<iostream>#include<cstring>#include<iomanip>#include<cstdlib>#include<cstdio>#include<string>#include<vector>#include<bitset>#include<cctype>#include<queue>#include<cmath>#include<list>#include<map>#include<Set>//#include <unordered_map>//#include <unordered_set>//#include <ext/pb_ds/assoc_container.hpp>//#include <ext/pb_ds/hash_policy.hpp>using namespacestd;//#pragma GCC optimize (3)//#pragma COMMENT (linker, "/stack:102400000,102400000")//C + +#defineLson (L, Mid, RT << 1)#defineRson (mid + 1, R, RT << 1 | 1)#defineDebug (x) cerr << #x << "=" << x << "\ n";#definePB Push_back#definePQ Priority_queuetypedefLong Longll;typedef unsignedLong LongUll;typedef pair<ll, LL >Pll;typedef pair<int,int>Pii;typedef pair<int,pii>P3;//priority_queue<int> Q;//This is a big root heap Q//priority_queue<int,vector<int>,greater<int> >q;//This is a little Gan q//__gnu_pbds::cc_hash_table<int,int>ret[11]; //It's a quick hash_map.#defineFi first#defineSe Second//#define Endl ' \ n '#defineOKC Ios::sync_with_stdio (false); Cin.tie (0)#defineFT (A,B,C) for (int a=b; A <= C;++a)//used to press the line#defineREP (I, J, K) for (int i = j; i < K; ++i)//Priority_queue<int, Vector<int>, greater<int> >que;Constll mos = 0X7FFFFFFFLL;//2147483647Constll nmos = 0X80000000LL;//-2147483648Const intINF =0x3f3f3f3f;Constll inff = 0X3F3F3F3F3F3F3F3FLL;// -Const DoublePi=acos (-1.0); template<typename t>inline T read (t&x) {x=0;intf=0;CharCh=GetChar ();  while(ch<'0'|| Ch>'9') f|= (ch=='-'), ch=GetChar ();  while(ch>='0'&&ch<='9') x=x*Ten+ch-'0', ch=GetChar (); returnx=f?-x:x;}/*-----------------------Showtime----------------------*/            Const intMAXN = -; intT[MAXN][MAXN]; intmp[maxn][maxn*MAXN]; intvisx[maxn],visy[maxn*MAXN]; intXn,xm,minz; intlinkx[maxn],linky[maxn*MAXN]; intWX[MAXN],WY[MAXN *MAXN]; BOOLDfsintx) {Visx[x]=true;  for(intI=1; i<=xm; i++){                    if(!Visy[i]) {                        intt = wx[x] + wy[i]-Mp[x][i]; if(t==0) {Visy[i]=true; if(!linky[i] | |DFS (Linky[i])) {Linky[i]=x; LINKX[X]=i; return true; }                        }                        Else if(t>0) Minz =min (Minz, t); }                }                   return false; }            intkm () { for(intI=1; I<=max (XN,XM); i++) Linkx[i]= Linky[i] =0;  for(intI=1; i<=xm; i++) Wy[i] =0;  for(intI=1; i<=xn; i++) {Wx[i]= -inf;  for(intj=1; j<=xm; J + +) {Wx[i]=Max (Wx[i], mp[i][j]); }                }                 for(intI=1; i<=xn; i++){                     while(true) {memset (VISX,0,sizeof(VISX)); memset (Visy,0,sizeof(Visy)); Minz=inf; if(Dfs (i)) Break;  for(intj=1; j<=xn; J + +)if(Visx[j]) wx[j]-=Minz;  for(intj=1; j<=xm; J + +)if(Visy[j]) wy[j] + =Minz; }                }                intAns =0;  for(intI=1; i<=xn; i++){                    if(linkx[i]>0) {ans-=Mp[i][linkx[i]]; }                }                returnans; }intMain () {intT Cin>>T;  while(t--){                intn,m; scanf ("%d%d", &n, &m);  for(intI=1; i<=n; i++){                     for(intj=1; j<=m; J + +) {scanf ("%d", &T[i][j]); }                }                 for(intI=1; i<=n; i++){                     for(intj=1; j<=m; J + +){                         for(intk=1; k<=n; k++) {mp[i][(J-1) *n + K] =-K *T[i][j]; } }} xn= N,XM = m*N; intAns =km (); printf ("%.6f\n", ans *1.0/N); }            return 0;}
POJ3686

POJ-3686 The windy ' s km algorithm disassembly humorous

Contact Us

The content source of this page is from Internet, which doesn't represent Alibaba Cloud's opinion; products and services mentioned on that page don't have any relationship with Alibaba Cloud. If the content of the page makes you feel confusing, please write us an email, we will handle the problem within 5 days after receiving your email.

If you find any instances of plagiarism from the community, please send an email to: info-contact@alibabacloud.com and provide relevant evidence. A staff member will contact you within 5 working days.

A Free Trial That Lets You Build Big!

Start building with 50+ products and up to 12 months usage for Elastic Compute Service

  • Sales Support

    1 on 1 presale consultation

  • After-Sales Support

    24/7 Technical Support 6 Free Tickets per Quarter Faster Response

  • Alibaba Cloud offers highly flexible support services tailored to meet your exact needs.