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Solve this interesting problem
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 422 Accepted Submission(s): 98
Problem Description
Have you learned something about segment tree? If not, don’t worry, I will explain it for you.
Segment Tree is a kind of binary tree, it can be defined as this:
- For each node u in Segment Tree, u has two values: Lu and Ru.
- If Lu=Ru,
u is a leaf node.
- If Lu≠Ru,
u has two children x and y,with Lx=Lu,Rx=?Lu+Ru2?,Ly=?Lu+Ru2?+1,Ry=Ru.
Here is an example of segment tree to do range query of sum.
Given two integers L and R, Your task is to find the minimum non-negative n satisfy that: A Segment Tree with root node‘s value Lroot=0 and Rroot=n contains
a node u with Lu=L and Ru=R.
Input
The input consists of several test cases.
Each test case contains two integers L and R, as described above.
0≤L≤R≤109
LR?L+1≤2015
Output
For each test, output one line contains one integer. If there is no such n, just output -1.
Sample Input
6 7 10 13 10 11
Sample Output
7 -1 12
Source
2015 Multi-University Training Contest 3
#include <bits/stdc++.h> using namespace std; typedef long long ll; #define prt(k) cout<<#k" = "<<k<<endl; const ll inf = 1e18; ll ans; void dfs(ll L, ll R) { if (R>=ans) return; if (L < 0) return; if(L==0) { ans = R; return; } if (R - L + 1 > L) return; dfs(2*L - R - 1, R); dfs(2*L - R - 2, R); dfs(L, 2*R - L); dfs(L, 2*R - L + 1); } ll L, R; int main() { while (cin>>L>>R) { ans = inf; dfs(L, R); if (ans == inf) ans = -1; cout<<ans<<endl; } }
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