链接:https://ac.nowcoder.com/acm/contest/5026/C
先dfs一遍,求出每个连通块有多少个点,把这个东西作为一个连通块的体积,一个连通块就是一个物品,这样就是在求恰好装满这4个体积分别为na,nb,nc,nd的背包有多少种方案。
dp[i][x1][x2][x3][x4]表示枚举到i的时候,四个背包被装填的体积分别为x1,x2,x3,x4的方案数。
#include <bits/stdc++.h>
using namespace std;
#define IO ios::sync_with_stdio(false);cin.tie(0); cout.tie(0)
#define debug(x) cout << #x << ": " << x << endl;
#define all(__vv__) (__vv__).begin(), (__vv__).end()
#define endl "\n"
#define SZ(x) ((int)(x).size())
#define pb push_back
#define pii pair<int, int>
#define mem(__x__,__val__) memset(__x__, __val__, sizeof(__x__))
typedef long long ll; typedef unsigned long long ull; typedef long double ld;
inline ll read() { ll s = 0, w = 1; char ch = getchar(); for (; !isdigit(ch); ch = getchar()) if (ch == '-') w = -1; for (; isdigit(ch); ch = getchar()) s = (s << 1) + (s << 3) + (ch ^ 48); return s * w; }
inline void print(ll x, int op = 10) { if (!x) { putchar('0'); if (op) putchar(op); return; } char F[40]; ll tmp = x > 0 ? x : -x; if (x < 0)putchar('-'); int cnt = 0; while (tmp > 0) { F[cnt++] = tmp % 10 + '0'; tmp /= 10; } while (cnt > 0)putchar(F[--cnt]); if (op) putchar(op); }
inline ll gcd(ll x, ll y) { return y ? gcd(y, x % y) : x; }
ll qpow(ll a, ll b) { ll ans = 1; while (b) { if (b & 1) ans *= a; b >>= 1; a *= a; } return ans; } ll qpow(ll a, ll b, ll mod) { ll ans = 1; while (b) { if (b & 1)(ans *= a) %= mod; b >>= 1; (a *= a) %= mod; }return ans % mod; }
const int dir[][2] = { {0,1},{1,0},{0,-1},{-1,0},{1,1},{1,-1},{-1,1},{-1,-1} };
const int MOD = 1e9+7;
const int INF = 0x3f3f3f3f;
const int N = 20;
int na, nb, nc, nd, m, x, y, v[N], dp[N][N][N][N][N];
bool vis[N];
vector<int> e[N];
int dfs(int u)
{
int res = 0;
vis[u] = 1; res++;
for(auto &vv : e[u]){
if(vis[vv]) continue;
res += dfs(vv);
}
return res;
}
int main()
{
IO;
mem(vis,0); mem(dp, 0);
cin >> na >> nb >> nc >> nd >> m;
while(m--)
{
cin >> x >> y;
e[x].pb(y); e[y].pb(x);
}
int tot = 0;
for(int i=1; i<=12; i++){
if(vis[i]) continue;
v[++tot] = dfs(i);
}
dp[0][0][0][0][0] = 1;
for(int i=1; i<=tot; i++)
for(int a=0; a<=na; a++)
for(int b=0; b<=nb; b++)
for(int c=0; c<=nc; c++)
for(int d=0; d<=nd; d++)
{
if(a+v[i] <= na) dp[i][a+v[i]][b][c][d]+=dp[i-1][a][b][c][d];
if(b+v[i] <= nb) dp[i][a][b+v[i]][c][d]+=dp[i-1][a][b][c][d];
if(c+v[i] <= nc) dp[i][a][b][c+v[i]][d]+=dp[i-1][a][b][c][d];
if(d+v[i] <= nd) dp[i][a][b][c][d+v[i]]+=dp[i-1][a][b][c][d];
}
cout << dp[tot][na][nb][nc][nd] << endl;
}
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