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AtCoder - 2565 枚举+贪心


AtCoder - 2565 枚举+贪心

There is a bar of chocolate with a height of H blocks and a width of W

Snuke is trying to divide the bar as evenly as possible. More specifically, he is trying to minimize Smax - Smin, where Smax is the area (the number of blocks contained) of the largest piece, and Smin is the area of the smallest piece. Find the minimum possible value of SmaxSmin.



Constraints

  • 2≤H,W≤105

Input


Input is given from Standard Input in the following format:



H W

Output


Print the minimum possible value of SmaxSmin.

Sample Input 1


3 5

Sample Output 1


0



In the division below, SmaxSmin=5−5=0.




Sample Input 2

4 5

Sample Output 2

2


In the division below, SmaxSmin=8−6=2.


Sample Input 3

5 5

Sample Output 3

4


In the division below, SmaxSmin=10−6=4.


Sample Input 4

100000 2

Sample Output 4

1

Sample Input 5

100000 100000

Sample Output 5

50000


样例倒是十分良心;
我们枚举第一步切的情况;
然后贪心地切剩下部分的中间部分,分为横、竖两种情况;


#include<iostream>
#include<cstdio>
#include<algorithm>
#include<cstdlib>
#include<cstring>
#include<string>
#include<cmath>
#include<map>
#include<set>
#include<vector>
#include<queue>
#include<bitset>
#include<ctime>
#include<deque>
#include<stack>
#include<functional>
#include<sstream>
//#include<cctype>
//#pragma GCC optimize(2)
using namespace std;
#define maxn 2000005
#define inf 0x7fffffff
//#define INF 1e18
#define rdint(x) scanf("%d",&x)
#define rdllt(x) scanf("%lld",&x)
#define rdult(x) scanf("%lu",&x)
#define rdlf(x) scanf("%lf",&x)
#define rdstr(x) scanf("%s",x)
typedef long long  ll;
typedef unsigned long long ull;
typedef unsigned int U;
#define ms(x) memset((x),0,sizeof(x))
const long long int mod = 1e9 + 7;
#define Mod 1000000000
#define sq(x) (x)*(x)
#define eps 1e-4
typedef pair<int, int> pii;
#define pi acos(-1.0)
//const int N = 1005;
#define REP(i,n) for(int i=0;i<(n);i++)
typedef pair<int, int> pii;
inline ll rd() {
	ll x = 0;
	char c = getchar();
	bool f = false;
	while (!isdigit(c)) {
		if (c == '-') f = true;
		c = getchar();
	}
	while (isdigit(c)) {
		x = (x << 1) + (x << 3) + (c ^ 48);
		c = getchar();
	}
	return f ? -x : x;
}

ll gcd(ll a, ll b) {
	return b == 0 ? a : gcd(b, a%b);
}
int sqr(int x) { return x * x; }


/*ll ans;
ll exgcd(ll a, ll b, ll &x, ll &y) {
	if (!b) {
		x = 1; y = 0; return a;
	}
	ans = exgcd(b, a%b, x, y);
	ll t = x; x = y; y = t - a / b * y;
	return ans;
}
*/

int h, w;
ll minn = 99999999999;
int main() {
//	ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
	cin >> h >> w;
	for (ll i = 1; i < h; i++) {
		ll tmps = i * w;
		ll pos = (h - i) / 2;
		ll tmps1 = (pos)*w;
//		cout << ">>" << tmps1 << endl;
		ll tmps2 = (h - i - pos)*w;
//		cout << ">>"<<tmps2 << endl;
		ll mins = min(min(tmps, tmps1), tmps2);
		ll maxs = max(max(tmps, tmps2), tmps1);
		minn = min(minn, maxs - mins);
		
		pos = w / 2;
		tmps1 = pos * (h - i);
//		cout << ">>" << tmps1 << endl;
		tmps2 = (w - pos)*(h - i);
//		cout << ">>" << tmps2 << endl;
		mins = min(min(tmps, tmps1), tmps2);
		maxs = max(max(tmps, tmps2), tmps1);
		minn = min(minn, maxs - mins);
	//	cout << minn << endl;
	}
	for (ll i = 1; i < w; i++) {
		ll tmps = i * h;
		ll pos = (w - i) / 2;
		ll tmps1 = (pos)*h;
		ll tmps2 = (w - i - pos)*h;
		ll mins = min(min(tmps, tmps1), tmps2);
		ll maxs = max(max(tmps, tmps2), tmps1);
		minn = min(minn, maxs - mins);
	//	cout << minn << endl;
		pos = h / 2;
		tmps1 = (w - i)*pos;
		tmps2 = (w - i)*(h - pos);
		mins = min(min(tmps, tmps1), tmps2);
		maxs = max(max(tmps, tmps2), tmps1);
		minn = min(minn, maxs - mins);
	//	cout << minn << endl;
	}
	cout << minn << endl;
	return 0;
}


 

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