题意:有 n-1 对夫妻参加一个婚宴,所有人都坐在一个长长的餐桌左侧或者右侧,新郎和新娘面做面坐在桌子的两侧。由于新娘的头饰很复杂,她无法看到和她坐在同一侧餐桌的人,只能看到对面餐桌的人。任意一对夫妻不能坐在桌子的同侧,另外有m对人吵过架,而新娘不希望看到两个吵过架的人坐在他的对面,问如何安排这些座位。
析:很明显的TwoSat问题,假设mark[i<<1]标记了,就是和新娘同侧,否则就是和新娘对侧,这样的话,对于每对吵架的人,他们要么在不同的侧,要么在新娘同侧,注意一定要注意要提前把新娘标记了,而且题目有可能是新娘或者新郎吵过架,RE了好多次,还以为是数组开小了。。。
代码如下:
#pragma comment(linker, "/STACK:1024000000,1024000000") #include <cstdio> #include <string> #include <cstdlib> #include <cmath> #include <iostream> #include <cstring> #include <set> #include <queue> #include <algorithm> #include <vector> #include <map> #include <cctype> #include <cmath> #include <stack> #include <sstream> #include <list> #include <assert.h> #include <bitset> #include <numeric> #define debug() puts("++++"); #define gcd(a, b) __gcd(a, b) #define lson l,m,rt<<1 #define rson m+1,r,rt<<1|1 #define fi first #define se second #define pb push_back #define sqr(x) ((x)*(x)) #define ms(a,b) memset(a, b, sizeof a) #define sz size() #define pu push_up #define pd push_down #define cl clear() #define all 1,n,1 #define FOR(i,x,n) for(int i = (x); i < (n); ++i) #define freopenr freopen("in.txt", "r", stdin) #define freopenw freopen("out.txt", "w", stdout) using namespace std; typedef long long LL; typedef unsigned long long ULL; typedef pair<LL, int> P; const int INF = 0x3f3f3f3f; const LL LNF = 1e17; const double inf = 1e20; const double PI = acos(-1.0); const double eps = 1e-8; const int maxn = 60 + 100; const int maxm = 1e6 + 5; const int mod = 10007; const int dr[] = {-1, 0, 1, 0}; const int dc[] = {0, -1, 0, 1}; const char *de[] = {"0000", "0001", "0010", "0011", "0100", "0101", "0110", "0111", "1000", "1001", "1010", "1011", "1100", "1101", "1110", "1111"}; int n, m; const int mon[] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; const int monn[] = {0, 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; inline bool is_in(int r, int c) { return r >= 0 && r < n && c >= 0 && c < m; } struct TwoSat{ int n; vector<int> G[maxn<<1]; bool mark[maxn<<1]; int S[maxn<<1], c; void init(int n){ this-> n = n; for(int i = 0; i < (n<<1); ++i) G[i].cl; ms(mark, 0); mark[0] = 1; } void add_clause(int x, int xval, int y, int yval){ x = x << 1 | xval; y = y << 1 | yval; G[x^1].pb(y); G[y^1].pb(x); } bool dfs(int x){ if(mark[x^1]) return false; if(mark[x]) return true; mark[x] = true; S[c++] = x; for(int i = 0; i < G[x].sz; ++i) if(!dfs(G[x][i])) return false; return true; } bool solve(){ for(int i = 0; i < (n<<1); i += 2) if(!mark[i] && !mark[i^1]){ c = 0; if(!dfs(i)){ while(c > 0) mark[S[--c]] = 0; if(!dfs(i^1)) return false; } } return true; } }; TwoSat twosat; int main(){ while(scanf("%d %d", &n, &m) == 2 && n+m){ twosat.init(n); int x, y; char c1, c2; while(m--){ scanf("%d%c %d%c", &x, &c1, &y, &c2); twosat.add_clause(x, c1 == 'h', y, c2 == 'h'); } if(!twosat.solve()){ puts("bad luck"); continue; } for(int i = 1; i < n; ++i) printf("%d%c%c", i, "hw"[twosat.mark[i<<1]], " \n"[i+1==n]); } return 0; }