• P1640 [SCOI2010]连续攻击游戏 二分图构造


    题意

    lxhgww最近迷上了一款游戏,在游戏里,他拥有很多的装备,每种装备都有2个属性,这些属性的值用[1,10000]之间的数表示。当他使用某种装备时,他只能使用该装备的某一个属性。并且每种装备最多只能使用一次。游戏进行到最后,lxhgww遇到了终极boss,这个终极boss很奇怪,攻击他的装备所使用的属性值必须从1开始连续递增地攻击,才能对boss产生伤害。也就是说一开始的时候,lxhgww只能使用某个属性值为1的装备攻击boss,然后只能使用某个属性值为2的装备攻击boss,然后只能使用某个属性值为3的装备攻击boss……以此类推。现在lxhgww想知道他最多能连续攻击boss多少次?

    武器的个数<=1000000

    思路

    这个构图我觉得是比较巧妙的。单单拆点按不同属性分两边不太好想。
    这道题合理的二分图中,左边1~10000表示攻击的序列,右边1~n表示武器。从左边向右边对应武器连两条有向边,跑二分图匹配,就很巧妙的使得这两条边不会同时成立。

    #include <algorithm>
    #include  <iterator>
    #include  <iostream>
    #include   <cstring>
    #include   <cstdlib>
    #include   <iomanip>
    #include    <bitset>
    #include    <cctype>
    #include    <cstdio>
    #include    <string>
    #include    <vector>
    #include     <stack>
    #include     <cmath>
    #include     <queue>
    #include      <list>
    #include       <map>
    #include       <set>
    #include   <cassert>
    
    /*
            
    ⊂_ヽ
      \\ Λ_Λ  来了老弟
       \('ㅅ')
        > ⌒ヽ
       /   へ\
       /  / \\
       レ ノ   ヽ_つ
      / /
      / /|
     ( (ヽ
     | |、\
     | 丿 \ ⌒)
     | |  ) /
    'ノ )  Lノ
    
    */
    
    using namespace std;
    #define lson (l , mid , rt << 1)
    #define rson (mid + 1 , r , rt << 1 | 1)
    #define debug(x) cerr << #x << " = " << x << "
    ";
    #define pb push_back
    #define pq priority_queue
    
    
    
    typedef long long ll;
    typedef unsigned long long ull;
    //typedef __int128 bll;
    typedef pair<ll ,ll > pll;
    typedef pair<int ,int > pii;
    typedef pair<int,pii> p3;
    
    //priority_queue<int> q;//这是一个大根堆q
    //priority_queue<int,vector<int>,greater<int> >q;//这是一个小根堆q
    #define fi first
    #define se second
    //#define endl '
    '
    
    #define boost ios::sync_with_stdio(false);cin.tie(0)
    #define rep(a, b, c) for(int a = (b); a <= (c); ++ a)
    #define max3(a,b,c) max(max(a,b), c);
    #define min3(a,b,c) min(min(a,b), c);
    
    
    const ll oo = 1ll<<17;
    const ll mos = 0x7FFFFFFF;  //2147483647
    const ll nmos = 0x80000000;  //-2147483648
    const int inf = 0x3f3f3f3f;
    const ll inff = 0x3f3f3f3f3f3f3f3f; //18
    const int mod = 1e9+7;
    const double esp = 1e-8;
    const double PI=acos(-1.0);
    const double PHI=0.61803399;    //黄金分割点
    const double tPHI=0.38196601;
    
    
    template<typename T>
    inline T read(T&x){
        x=0;int f=0;char ch=getchar();
        while (ch<'0'||ch>'9') f|=(ch=='-'),ch=getchar();
        while (ch>='0'&&ch<='9') x=x*10+ch-'0',ch=getchar();
        return x=f?-x:x;
    }
    struct FastIO {
        static const int S = 4e6;
        int wpos;
        char wbuf[S];
        FastIO() : wpos(0) {}
        inline int xchar() {
            static char buf[S];
            static int len = 0, pos = 0;
            if (pos == len)
                pos = 0, len = fread(buf, 1, S, stdin);
            if (pos == len) exit(0);
            return buf[pos++];
        }
        inline int xuint() {
            int c = xchar(), x = 0;
            while (c <= 32) c = xchar();
            for (; '0' <= c && c <= '9'; c = xchar()) x = x * 10 + c - '0';
            return x;
        }
        inline int xint()
        {
            int s = 1, c = xchar(), x = 0;
            while (c <= 32) c = xchar();
            if (c == '-') s = -1, c = xchar();
            for (; '0' <= c && c <= '9'; c = xchar()) x = x * 10 + c - '0';
            return x * s;
        }
        inline void xstring(char *s)
        {
            int c = xchar();
            while (c <= 32) c = xchar();
            for (; c > 32; c = xchar()) * s++ = c;
            *s = 0;
        }
        inline void wchar(int x)
        {
            if (wpos == S) fwrite(wbuf, 1, S, stdout), wpos = 0;
            wbuf[wpos++] = x;
        }
        inline void wint(int x)
        {
            if (x < 0) wchar('-'), x = -x;
            char s[24];
            int n = 0;
            while (x || !n) s[n++] = '0' + x % 10, x /= 10;
            while (n--) wchar(s[n]);
            wchar('
    ');
        }
        inline void wstring(const char *s)
        {
            while (*s) wchar(*s++);
        }
        ~FastIO()
        {
            if (wpos) fwrite(wbuf, 1, wpos, stdout), wpos = 0;
        }
    } io;   
    inline void cmax(int &x,int y){if(x<y)x=y;}
    inline void cmax(ll &x,ll y){if(x<y)x=y;}
    inline void cmin(int &x,int y){if(x>y)x=y;}
    inline void cmin(ll &x,ll y){if(x>y)x=y;}
    
    /*-----------------------showtime----------------------*/
                const int maxn = 10009;
                struct E{
                    int v,nxt;
                }edge[2000009];
                int head[maxn],gtot;
                void addedge(int u,int v){
                    edge[gtot].v = v;
                    edge[gtot].nxt = head[u];
                    head[u] = gtot++;
                }
                int used[1000009],pt[1000009];
    
                bool hungry(int u,int col){
                    for(int i=head[u]; ~i; i = edge[i].nxt){
                        int v = edge[i].v;
                        if(used[v] < col){
                            used[v] = col;
                            if(pt[v]==0 || hungry(pt[v],col)){
                                pt[v] = u;
                                return true;
                            }
                        }
                    } 
                    return false;
                }
    int main(){
                int n;  scanf("%d", &n);
                memset(head, -1, sizeof(head));
                for(int i=1; i<=n; i++){
                    int x,y;
                    scanf("%d%d", &x, &y);
                    addedge(x, i); 
                    addedge(y, i); 
                }
                int ans = 0,col = 0;
                for(int i=1; i<=10000; i++){
                    ++col;
                    if(hungry(i,col)) ans = i;
                    else break;
                }
                printf("%d
    ", ans);
                return 0;
    }
    View Code
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  • 原文地址:https://www.cnblogs.com/ckxkexing/p/10389895.html
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