Submission #203716

# Submission time Handle Problem Language Result Execution time Memory
203716 2020-02-22T00:46:22 Z rqi Fishing Game (RMI19_fishing) C++14
100 / 100
1261 ms 196728 KB
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
 
#include <bits/stdc++.h>
 
using namespace std;
 
typedef double db;
typedef long long ll;
typedef long double ld;
typedef string str;
 
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
typedef complex<ld> cd;
 
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<ld> vd;
typedef vector<str> vs;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
 
#define FOR(i,a,b) for (int i = (a); i < (b); i++)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); i--)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a : x)
 
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
 
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define rsz resize
#define ins insert
 
const int MOD = 1e9+7; // 998244353 = (119<<23)+1
const ll INF = 1e18;
const int MX = 2e5+5;
const ld PI = 4*atan((ld)1);
 
template<class T> bool ckmin(T& a, const T& b) { return a > b ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
 
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
 
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/rope>
 
using namespace __gnu_pbds;
using namespace __gnu_cxx;
 
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
 
#define ook order_of_key
#define fbo find_by_order
 
namespace input {
    template<class T> void re(complex<T>& x);
    template<class T1, class T2> void re(pair<T1,T2>& p);
    template<class T> void re(vector<T>& a);
    template<class T, size_t SZ> void re(array<T,SZ>& a);
 
    template<class T> void re(T& x) { cin >> x; }
    void re(double& x) { string t; re(t); x = stod(t); }
    void re(ld& x) { string t; re(t); x = stold(t); }
    template<class T, class... Ts> void re(T& t, Ts&... ts) { 
        re(t); re(ts...); 
    }
 
    template<class T> void re(complex<T>& x) { T a,b; re(a,b); x = cd(a,b); }
    template<class T1, class T2> void re(pair<T1,T2>& p) { re(p.f,p.s); }
    template<class T> void re(vector<T>& a) { F0R(i,sz(a)) re(a[i]); }
    template<class T, size_t SZ> void re(array<T,SZ>& a) { F0R(i,SZ) re(a[i]); }
}
 
using namespace input;
 
namespace output {
    void pr(int x) { cout << x; }
    void pr(long x) { cout << x; }
    void pr(ll x) { cout << x; }
    void pr(unsigned x) { cout << x; }
    void pr(unsigned long x) { cout << x; }
    void pr(unsigned long long x) { cout << x; }
    void pr(float x) { cout << x; }
    void pr(double x) { cout << x; }
    void pr(ld x) { cout << x; }
    void pr(char x) { cout << x; }
    void pr(const char* x) { cout << x; }
    void pr(const string& x) { cout << x; }
    void pr(bool x) { pr(x ? "true" : "false"); }
    template<class T> void pr(const complex<T>& x) { cout << x; }
    
    template<class T1, class T2> void pr(const pair<T1,T2>& x);
    template<class T> void pr(const T& x);
    
    template<class T, class... Ts> void pr(const T& t, const Ts&... ts) { 
        pr(t); pr(ts...); 
    }
    template<class T1, class T2> void pr(const pair<T1,T2>& x) { 
        pr("{",x.f,", ",x.s,"}"); 
    }
    template<class T> void pr(const T& x) { 
        pr("{"); // const iterator needed for vector<bool>
        bool fst = 1; for (const auto& a: x) pr(!fst?", ":"",a), fst = 0; 
        pr("}");
    }
    
    void ps() { pr("\n"); } // print w/ spaces
    template<class T, class... Ts> void ps(const T& t, const Ts&... ts) { 
        pr(t); if (sizeof...(ts)) pr(" "); ps(ts...); 
    }
    
    void pc() { pr("]\n"); } // debug w/ commas
    template<class T, class... Ts> void pc(const T& t, const Ts&... ts) { 
        pr(t); if (sizeof...(ts)) pr(", "); pc(ts...); 
    }
    #define dbg(x...) pr("[",#x,"] = ["), pc(x);
}
 
using namespace output;
 
namespace io {
    void setIn(string s) { freopen(s.c_str(),"r",stdin); }
    void setOut(string s) { freopen(s.c_str(),"w",stdout); }
    void setIO(string s = "") {
        cin.sync_with_stdio(0); cin.tie(0); // fast I/O
        cin.exceptions(cin.failbit); // ex. throws exception when you try to read letter into int
        if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
    }
}
 
using namespace io;
 
template<class T> T invGeneral(T a, T b) {
	a %= b; if (a == 0) return b == 1 ? 0 : -1;
	T x = invGeneral(b,a); 
	return x == -1 ? -1 : ((1-(ll)b*x)/a+b)%b;
}
 
template<class T> struct modular {
	T val; 
	explicit operator T() const { return val; }
	modular() { val = 0; }
	modular(const ll& v) { 
		val = (-MOD <= v && v <= MOD) ? v : v % MOD;
		if (val < 0) val += MOD;
	}
	
	// friend ostream& operator<<(ostream& os, const modular& a) { return os << a.val; }
	friend void pr(const modular& a) { pr(a.val); }
	friend void re(modular& a) { ll x; re(x); a = modular(x); }
   
	friend bool operator==(const modular& a, const modular& b) { return a.val == b.val; }
	friend bool operator!=(const modular& a, const modular& b) { return !(a == b); }
	friend bool operator<(const modular& a, const modular& b) { return a.val < b.val; }
 
	modular operator-() const { return modular(-val); }
	modular& operator+=(const modular& m) { if ((val += m.val) >= MOD) val -= MOD; return *this; }
	modular& operator-=(const modular& m) { if ((val -= m.val) < 0) val += MOD; return *this; }
	modular& operator*=(const modular& m) { val = (ll)val*m.val%MOD; return *this; }
	friend modular pow(modular a, ll p) {
		modular ans = 1; for (; p; p /= 2, a *= a) if (p&1) ans *= a;
		return ans;
	}
	friend modular inv(const modular& a) { 
		auto i = invGeneral(a.val,MOD); assert(i != -1);
		return i;
	} // equivalent to return exp(b,MOD-2) if MOD is prime
	modular& operator/=(const modular& m) { return (*this) *= inv(m); }
	
	friend modular operator+(modular a, const modular& b) { return a += b; }
	friend modular operator-(modular a, const modular& b) { return a -= b; }
	friend modular operator*(modular a, const modular& b) { return a *= b; }
	
	friend modular operator/(modular a, const modular& b) { return a /= b; }
};
 
typedef modular<int> mi;
typedef pair<mi,mi> pmi;
typedef vector<mi> vmi;
typedef vector<pmi> vpmi;

int hascard[3][305];
int main() {
	setIO();
    // you should actually read the stuff at the bottom
    int N, T;
    cin >> N >> T;
    mi dp[3][2][2*N+5][2*N+5][2*N+5];
    for(int i = 0; i < T; i++){
    	for(int i = 0; i < 3; i++){
    		for(int j = 0; j < 2; j++){
    			for(int k = 0; k < 2*N+5; k++){
    				for(int l = 0; l < 2*N+5; l++){
    					for(int m = 0; m < 2*N+5; m++){
    						dp[i][j][k][l][m] = 0;
    					}
    				}
    			}
    		}
    	}
    	for(int i = 1; i <= 3*N; i++){
    		hascard[0][i] = hascard[1][i] = hascard[2][i] = 0;
    	}
    	for(int i = 0; i < 2*N; i++){
    		int card;
    		cin >> card;
    		hascard[0][card] = 1;
    	}
    	for(int i = 0; i < 2*N; i++){
    		int card;
    		cin >> card;
    		hascard[1][card] = 1;
    	}
    	for(int i = 0; i < 2*N; i++){
    		int card;
    		cin >> card;
    		hascard[2][card] = 1;
    	}
    	int AB, AC, BC;
    	AB = AC = BC = 0;
    	for(int i = 1; i <= 3*N; i++){
    		if(hascard[0][i] == 1 && hascard[1][i] == 1){
    			AB++;
    		}
    		else if(hascard[0][i] == 1 && hascard[2][i] == 1){
    			AC++;
    		}
    		else if(hascard[1][i] == 1 && hascard[2][i] == 1){
    			BC++;
    		}
    	}
    	dp[0][0][BC][AC][AB] = 1; // A's turn, has not removed a card
    	
    	//ps(BC, AC, AB);
    	for(int sum = BC+AC+AB; sum >= 1; sum--){
    		for(int remov = 1; remov >= 0; remov--){
    			for(int turn = 0; turn < 3; turn++){
    				if(turn == 0 && remov == 1) continue;
    				for(int BC = 0; BC <= sum; BC++){
    					if(BC >= 2*N+2) continue;
    					if((sum-BC)-10 >= 2*(2*N+2)) continue;
    					for(int AC = 0; AC+BC <= sum; AC++){
    					
    						int AB = sum-AC-BC;
    						if(AC >= 2*N+2) continue;
    						if(AB >= 2*N+2) continue;
    						mi num = dp[turn][remov][BC][AC][AB];
    						if(num == 0) continue;
    						//if(num != 0) ps("BC, AC, AB, turn, remov, num:", BC, AC, AB, turn, remov, num);
    						if(turn == 0){
    							//if A has no cards
    							if(AB == 0 && AC == 0){
    								dp[1][remov][BC][AC][AB]+=num;
    							}
    							//if sends AB
    							dp[1][1][BC][AC][AB-1]+=mi(AB)*num;
    							//if sends AC
    							dp[1][remov][BC+1][AC-1][AB]+=mi(AC)*num;
    						}
    						else if(turn == 1){
    							//if B has no cards
    							if(BC == 0 && AB == 0){
    								dp[2][remov][BC][AC][AB]+=num;
    							}
    							//if sends AB
    							dp[2][remov][BC][AC+1][AB-1]+=num*mi(AB);
    							//if sends BC
    							dp[2][1][BC-1][AC][AB]+=num*mi(BC);
    						}
    						else{
    							if(AC == 0 && BC == 0){
    								if(remov == 0) continue;
    								dp[0][0][BC][AC][AB]+=num;
    							}
    							//if send AC
    							if(AC > 0){
    								dp[0][0][BC][AC-1][AB]+=num*mi(AC);
    							}
    							//if sends BC
    							if(BC > 0){
    								if(remov == 1) dp[0][0][BC-1][AC][AB+1]+=num*mi(BC);
    							}
    						}
    						
    					}
    				}
    			}
    		}
    	}
    	mi ans = 0;
    	for(int i = 0; i < 3; i++){
    		for(int j = 0; j < 2; j++){
    			ans+=dp[i][j][0][0][0];
    		}
    	}
    	ps(int(ans));
    }
}
 
/* stuff you should look for
	* int overflow, array bounds
	* special cases (n=1?), set tle
	* do smth instead of nothing and stay organized
*/

Compilation message

fishing.cpp: In function 'void io::setIn(std::__cxx11::string)':
fishing.cpp:135:35: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     void setIn(string s) { freopen(s.c_str(),"r",stdin); }
                            ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
fishing.cpp: In function 'void io::setOut(std::__cxx11::string)':
fishing.cpp:136:36: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     void setOut(string s) { freopen(s.c_str(),"w",stdout); }
                             ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 632 KB Output is correct
4 Correct 8 ms 2552 KB Output is correct
5 Correct 130 ms 27640 KB Output is correct
6 Correct 230 ms 46200 KB Output is correct
7 Correct 350 ms 71928 KB Output is correct
8 Correct 600 ms 105928 KB Output is correct
9 Correct 847 ms 149112 KB Output is correct
10 Correct 1261 ms 196728 KB Output is correct