Codeforces Round #370 (Div. 2)C. Memory and De-Evolution 贪心

本文解析了CodeForces竞赛中C题“Memory and De-Evolution”的解题思路及代码实现。该题要求求解从边长为x的等边三角形通过一系列操作变为边长为y的等边三角形所需的最少秒数。文章详细介绍了如何通过贪心算法逐步减少三角形边长直至目标大小。

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地址:http://codeforces.com/problemset/problem/712/C

题目:

C. Memory and De-Evolution
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

Memory is now interested in the de-evolution of objects, specifically triangles. He starts with an equilateral triangle of side length x, and he wishes to perform operations to obtain an equilateral triangle of side length y.

In a single second, he can modify the length of a single side of the current triangle such that it remains a non-degenerate triangle (triangle of positive area). At any moment of time, the length of each side should be integer.

What is the minimum number of seconds required for Memory to obtain the equilateral triangle of side length y?

Input

The first and only line contains two integers x and y (3 ≤ y < x ≤ 100 000) — the starting and ending equilateral triangle side lengths respectively.

Output

Print a single integer — the minimum number of seconds required for Memory to obtain the equilateral triangle of side length y if he starts with the equilateral triangle of side length x.

Examples
input
6 3
output
4
input
8 5
output
3
input
22 4
output
6
Note

In the first sample test, Memory starts with an equilateral triangle of side length 6 and wants one of side length 3. Denote a triangle with sides ab, and c as (a, b, c). Then, Memory can do .

In the second sample test, Memory can do .

In the third sample test, Memory can do: 

.

 

 思路:倒着贪心就好,每次把最小的边变换成最大的。。

 

代码:

#include <bits/stdc++.h>

using namespace std;

#define MP make_pair
#define PB push_back
typedef long long LL;
typedef pair<int, int> PII;
const double eps = 1e-8;
const double pi = acos(-1.0);
const int K = 1e6 + 7;
int a[4];
int main(void)
{
    int ans=0,st,se;
    cin>>st>>se;
    a[1]=a[2]=a[3]=se;
    while(1)
    {
        sort(a+1,a+1+3);
        if(a[1]<st)
            a[1]=min(a[2]+a[3]-1,st);
        else
            break;
        //printf("%d:%d %d %d\n",ans+1,a[1],a[2],a[3]);
        ans++;
    }
    cout<<ans<<endl;
    return 0;
}

 

转载于:https://www.cnblogs.com/weeping/p/5869433.html

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