Codeforces Round #362 (Div. 2) C 模拟二叉树

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C. Lorenzo Von Matterhorn

time limit per test1 second

memory limit per test256 megabytes

inputstandard input

outputstandard output

Barney lives in NYC. NYC has infinite number of intersections numbered with positive integers starting from 1. There exists a bidirectional road between intersections i and 2i and another road between i and 2i + 1 for every positive integer i. You can clearly see that there exists a unique shortest path between any two intersections.

Initially anyone can pass any road for free. But since SlapsGiving is ahead of us, there will q consecutive events happen soon. There are two types of events:

1. Government makes a new rule. A rule can be denoted by integers v, u and w. As the result of this action, the passing fee of all roads on the shortest path from u to v increases by w dollars.

2. Barney starts moving from some intersection v and goes to intersection u where there's a girl he wants to cuddle (using his fake name Lorenzo Von Matterhorn). He always uses the shortest path (visiting minimum number of intersections or roads) between two intersections.

Government needs your calculations. For each time Barney goes to cuddle a girl, you need to tell the government how much money he should pay (sum of passing fee of all roads he passes).

Input
The first line of input contains a single integer q (1 ≤ q ≤ 1 000).

The next q lines contain the information about the events in chronological order. Each event is described in form 1 v u w if it's an event when government makes a new rule about increasing the passing fee of all roads on the shortest path from u to v by w dollars, or in form 2 v u if it's an event when Barnie goes to cuddle from the intersection v to the intersection u.

1 ≤ v, u ≤ 1018, v ≠ u, 1 ≤ w ≤ 109 states for every description line.

Output
For each event of second type print the sum of passing fee of all roads Barney passes in this event, in one line. Print the answers in chronological order of corresponding events.

Example
input
7
1 3 4 30
1 4 1 2
1 3 6 8
2 4 3
1 6 1 40
2 3 7
2 2 4
output
94
0
32
Note
In the example testcase:

Here are the intersections used:

Intersections on the path are 3, 1, 2 and 4.
Intersections on the path are 4, 2 and 1.
Intersections on the path are only 3 and 6.
Intersections on the path are 4, 2, 1 and 3. Passing fee of roads on the path are 32, 32 and 30 in order. So answer equals to 32 + 32 + 30 = 94.
Intersections on the path are 6, 3 and 1.
Intersections on the path are 3 and 7. Passing fee of the road between them is 0.
Intersections on the path are 2 and 4. Passing fee of the road between them is 32 (increased by 30 in the first event and by 2 in the second).

题意：

给出一颗二叉树，q个操作

1 u v w 表示 在u->v的路径上增加花费w

2 u v 表示 询问u->v的路径上的花费总额

思路 ：

找出u,v的最近公共祖先（往上走也就是(u|v)/=2）

操作1：用map在节点上增加权值w

操作2：用ans统计节点上的权值和

代码：

#include<iostream>#include<cstdio>#include<cstring>#include<algorithm>#include<string>#include<vector>#include <ctime>#include<queue>#include<set>#include<map>#include<stack>#include<iomanip>#include<cmath>#define mst(ss,b) memset((ss),(b),sizeof(ss))#define maxn 0x3f3f3f3f#define MAX 1000100///#pragma comment(linker, "/STACK:102400000,102400000")typedef long long ll;typedef unsigned long long ull;#define INF (1ll<<60)-1using namespace std;map<ll,ll> mp;int n;int main(){    scanf("%d",&n);    for(int i=1;i<=n;i++){        ll l,r,w;        int f;        scanf("%d",&f);        if(f==1){            scanf("%I64d%I64d%I64d",&l,&r,&w);            while(l!=r){                if(l>r) {mp[l]+=w;l/=2;}                else {mp[r]+=w;r/=2;}            }        } else {            scanf("%I64d%I64d",&l,&r);            ll ans=0;            while(l!=r){                if(l>r){                    ans+=mp[l];                    l/=2;                } else {                    ans+=mp[r];                    r/=2;                }            }            printf("%I64d\n",ans);        }    }    return 0;}