Cutting Game POJ2311(SG函数)

2022/2/2 23:17:40

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Cutting Game - POJ 2311 - Virtual Judge

SG函数深入理解orz:博弈论 SG函数_Strangedbly-CSDN博客_sg函数

AC代码:

#pragma GCC optimize(2)
#pragma GCC optimize(3)
//#pragma GCC optimize("Ofast")
#include <iostream>
#include <queue>
#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <cmath>
#include <cstring>
#include <string>
#include <cctype>
#include <map>
#include <vector>
#include <deque>
#include <set>
#include <stack>
#include <numeric>
#include <iomanip>
#include <functional>
using namespace std;
#define lowbit(x) ((x) & -(x))
#define IOS1 ios::sync_with_stdio(false);cin.tie(nullptr);cout.tie(nullptr);
#define IOS2 ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
typedef vector<int> vi;
typedef vector<long long> vll;
typedef vector<char> vc;
template<class T> T gcd(T a, T b) { return b ? gcd(b, a % b) : a; }
template<class T> T lcm(T a, T b) { return a / gcd(a, b) * b; }
template<class T>
T power(T a, int b) {
	T res = 1;
	for (; b; b >>= 1, a = a * a) {
		if (b & 1) {
			res = res * a;
		}
	}
	return res;
}
template <typename T>
inline void read(T& x)
{
	x = 0; int f = 1; char ch = getchar();
	while (!isdigit(ch)) { if (ch == '-') f = -1; ch = getchar(); }
	while (isdigit(ch)) { x = x * 10 + ch - '0', ch = getchar(); }
	x *= f;
}
/*
Tips:
   1.int? long long?
   2.don't submit wrong answer
   3.figure out logic first, then start writing please
   4.know about the range
   5.check if you have to input t or not
   6.modulo of negative numbers is not a%b, it is a%b + abs(b)
*/
const int INF = 0x3f3f3f3f;
const int mod = 1000000007;
const double PI = acos(-1.0);
vector<vector<int> > sg(210, vector<int>(210, -1));
int getsg(int n, int m) {
	if (sg[n][m] != -1) {
		return sg[n][m];
	}
	vector<int> vis(1006, 0);
	for (int i = 2; i <= n - i; i++) {
		vis[getsg(i, m) ^ getsg(n - i, m)] = 1;
	}
	for (int i = 2; i <= m - i; i++) {
		vis[getsg(n, i) ^ getsg(n, m - i)] = 1;
	}
	for (int i = 0;; i++) {
		if (vis[i] == 0) {
			return sg[n][m] = i;
		}
	}
}
void solve() {
	int w, h;
	while (cin >> w >> h) {
		if (getsg(w, h)) {
			cout << "WIN" << endl;
		}
		else {
			cout << "LOSE" << endl;
		}
	}
}
int main() {
	//IOS1;
	IOS2;
	int __t = 1;
	//cin >> __t;
	for (int _t = 1; _t <= __t; _t++) {
		solve();
	}
	return 0;
}
/*

*/



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