title: "记忆化搜索"
author: Sun-Wind
date: February 5,2022
搜索优化后是记忆化搜索,再优化就是dp了
#include <iostream>
#include <utility>
using namespace std;
typedef long long ll;
#define fi(i, a, b) for (int i = a; i <= b; ++i)
#define fr(i, a, b) for (int i = a; i >= b; --i)
#define x first
#define y second
#define sz(x) ((int)(x).size())
#define pb push_back
using pii = pair<int, int>;
//#define DEBUG
ll record[25][25][25];
ll w(ll a, ll b, ll c)
{
if (a <= 24 && b <= 24 && c <= 24 && a >= 0 && b >= 0 && c >= 0 && record[a][b][c])
return record[a][b][c];
if (a <= 0 || b <= 0 || c <= 0)
return 1;
if (a > 20 || b > 20 || c > 20)
return w(20, 20, 20);
if (a < b && b < c)
return record[a][b][c] = w(a, b, c - 1) + w(a, b - 1, c - 1) - w(a, b - 1, c);
return record[a][b][c] = w(a - 1, b, c) + w(a - 1, b - 1, c) + w(a - 1, b, c - 1) - w(a - 1, b - 1, c - 1);
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
ll a, b, c;
while (cin >> a >> b >> c && !(a == -1 && b == -1 && c == -1))
{
cout << "w(" << a << ", " << b << ", " << c << ")"
<< " = " << w(a, b, c) << endl;
}
#ifdef DEBUG
//freopen(D:\in.txt,r,stdin);
#endif
return 0;
}