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Catch That Cow

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Farmer John has been informed of the location of a fugitive cow and wants to catch her immediately. He starts at a point N (0 ≤ N ≤ 100,000) on a number line and the cow is at a point K (0 ≤ K ≤ 100,000) on the same number line. Farmer John has two modes of transportation: walking and teleporting. * Walking: FJ can move from any point X to the points X - 1 or X + 1 in a single minute * Teleporting: FJ can move from any point X to the point 2 × X in a single minute. If the cow, unaware of its pursuit, does not move at all, how long does it take for Farmer John to retrieve it?

Input

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Line 1: Two space-separated integers: N and K

Output

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Line 1: The least amount of time, in minutes, it takes for Farmer John to catch the fugitive cow.

Sample Input

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5 17

Sample Output

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4

Hint

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fastest way for Farmer John to reach the fugitive cow is to move along the following path: 5-10-9-18-17, which takes 4 minutes.
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#include <iostream> #include <string> #include <queue> using namespace std; int v[200000]={0}; queue<int> line; bool judge(int a){ //判断是否可以拓展 if (v[a] == 0 && a >= 0 && a <= 100000 ) return true; else return false; } int main() { int n,m; while ( cin >> n >> m) { int min=100000; if(n == m) { cout << '0' << endl; continue; } memset(v, 0, sizeof(v)); while ( !line.empty()) { line.pop(); } v[n] = 1; line.push(n); int time=0; int k; //拓展层数 while ( !line.empty()) { k = line.front(); // cout << "k:" << k; line.pop(); if( judge(k+1) ) {line.push(k+1); v[k+1] += v[k]+1;} if( judge(k-1) ) {line.push(k-1); v[k-1] += v[k]+1;} if (judge(k*2)) {line.push(k*2); v[k*2] += v[k]+1;} } cout << v[m]-1 <<endl; } }

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