Created
September 1, 2015 10:26
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#include <stdio.h> | |
#include <stdlib.h> | |
#include <string.h> | |
#include <math.h> | |
#include <limits.h> | |
#include <stack> | |
#include <queue> | |
#include <map> | |
#include <set> | |
#include <algorithm> | |
#include <string> | |
#include <functional> | |
#include <vector> | |
#include <numeric> | |
#include <deque> | |
#include <utility> | |
#include <bitset> | |
#include <iostream> | |
using namespace std; | |
typedef long long lint; | |
typedef long double llf; | |
typedef pair<int, int> pi; | |
const int mod = 1e9 + 7; | |
int n, w, m, deg[205]; | |
vector<pi> graph[205]; | |
vector<lint> dp[205][205][2]; | |
lint f(int x, int sub, int k, int cur){ | |
if(sub == 0){ | |
k -= cur; | |
if(k < 0) return 0; | |
} | |
if(sub == graph[x].size()) return (k == 0); | |
if(~dp[x][k][cur][sub]) return dp[x][k][cur][sub]; | |
lint ret = 0; | |
int pos = graph[x][sub].first; | |
if(cur == 0){ | |
for(int i=0; i<=k; i++){ | |
lint subsol = f(pos, 0, i, 0) + f(pos, 0, i, 1); | |
ret += subsol * f(x, sub + 1, k - i, cur); | |
ret %= mod; | |
} | |
} | |
else if(graph[x][sub].second){ | |
for(int i=0; i<=k; i++){ | |
ret += f(pos, 0, i, 1) * f(x, sub + 1, k - i, cur); | |
ret %= mod; | |
} | |
} | |
else{ | |
for(int i=0; i<=k; i++){ | |
ret += f(pos, 0, i, 0) * f(x, sub + 1, k - i, cur); | |
ret %= mod; | |
} | |
} | |
return dp[x][k][cur][sub] = ret; | |
} | |
int main(){ | |
scanf("%d %d %d",&n,&w,&m); | |
for(int i=0; i<m; i++){ | |
char s[5]; | |
int a, b; | |
scanf("%s %d %d",s,&a,&b); | |
deg[b]++; | |
if(s[0] == 'D'){ | |
graph[a].push_back(pi(b, 1)); | |
// (a -> b) | |
} | |
else{ | |
graph[a].push_back(pi(b, 0)); | |
} | |
} | |
for(int i=1; i<=n; i++){ | |
for(int j=0; j<=w; j++){ | |
for(int k=0; k<2; k++){ | |
dp[i][j][k].resize(graph[i].size(), -1); | |
} | |
} | |
} | |
lint ret[205] = {}; | |
ret[0] = 1; | |
for(int i=1; i<=n; i++){ | |
if(deg[i] == 0){ | |
lint tmp[205], old[205]; | |
for(int j=w; j>=0; j--){ | |
old[j] = ret[j]; | |
tmp[j] = f(i, 0, j, 0) + f(i, 0, j, 1); | |
ret[j] = 0; | |
} | |
for(int j=0; j<=w; j++){ | |
for(int k=0; k<=j; k++){ | |
ret[j] += old[j - k] * tmp[k]; | |
ret[j] %= mod; | |
} | |
} | |
} | |
} | |
printf("%lld",ret[w]); | |
} |
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