https://www.luogu.org/problemnew/show/P1640
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 \(‘?‘) > ⌒ヽ / へ\ / / \\ ? ノ ヽ_つ / / / /| ( (ヽ | |、\ | 丿 \ ⌒) | | ) / ‘ノ ) L? */ using namespace std; #define lson (l , mid , rt << 1) #define rson (mid + 1 , r , rt << 1 | 1) #define debug(x) cerr << #x << " = " << x << "\n"; #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 ‘\n‘ #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(‘\n‘); } 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\n", ans); return 0; }
原文地址:https://www.cnblogs.com/ckxkexing/p/10389895.html
时间: 2024-11-08 23:59:07