How Many Answers Are Wrong

How Many Answers Are Wrong

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)

Total Submission(s): 626 Accepted Submission(s): 283

Problem Description

TT and FF are ... friends. Uh... very very good friends -________-b

FF is a bad boy, he is always wooing TT to play the following game with him. This is a very humdrum game. To begin with, TT should write down a sequence of integers-_-!!(bored).

Then, FF can choose a continuous subsequence from it(for example the subsequence from the third to the fifth integer inclusively). After that, FF will ask TT what the sum of the subsequence he chose is. The next, TT will answer FF's question. Then, FF can redo this process. In the end, FF must work out the entire sequence of integers.

Boring~~Boring~~a very very boring game!!! TT doesn't want to play with FF at all. To punish FF, she often tells FF the wrong answers on purpose.

The bad boy is not a fool man. FF detects some answers are incompatible. Of course, these contradictions make it difficult to calculate the sequence.

However, TT is a nice and lovely girl. She doesn't have the heart to be hard on FF. To save time, she guarantees that the answers are all right if there is no logical mistakes indeed.

What's more, if FF finds an answer to be wrong, he will ignore it when judging next answers.

But there will be so many questions that poor FF can't make sure whether the current answer is right or wrong in a moment. So he decides to write a program to help him with this matter. The program will receive a series of questions from FF together with the answers FF has received from TT. The aim of this program is to find how many answers are wrong. Only by ignoring the wrong answers can FF work out the entire sequence of integers. Poor FF has no time to do this job. And now he is asking for your help~(Why asking trouble for himself~~Bad boy)

 

Input

Line 1: Two integers, N and M (1 <= N <= 200000, 1 <= M <= 40000). Means TT wrote N integers and FF asked her M questions.

Line 2..M+1: Line i+1 contains three integer: Ai, Bi and Si. Means TT answered FF that the sum from Ai to Bi is Si. It's guaranteed that 0 < Ai <= Bi <= N.

You can assume that any sum of subsequence is fit in 32-bit integer.

 

Output

            A single line with a integer denotes how many answers are wrong.

 

Sample Input

10 5
1 10 100
7 10 28
1 3 32
4 6 41
6 6 1

 

Sample Output

1

 

Source

2009 Multi-University Training Contest 13 - Host by HIT

 

Recommend

gaojie

/*
A到B的和为W，可以理解为B比A大W，然后将AB加入并查集，如果B有父节点那么，B一定到某区间内的值就已经确定了，
在判断一下正不正确就可以了
*/
#include<bits/stdc++.h>
using namespace std;
int n,m;
int bin[200005];//用于构建并查集
int val[200005];//用于保存该节点到父节点的距离
int x,y,v;
int cur=0;
int findx(int x)
{
    int temp=x;
    while(x!=bin[x])
    {
        val[temp]+=val[bin[x]];//将该节点到附加点的距离加起来
        x=bin[x];
        //cout<<"x="<<x<<endl;
    }
    bin[temp]=x;//路径压缩，将所有子孙节点都加到根节点下方
    return x;
}
void inti()
{
    for(int i=0;i<=n;i++)
        bin[i]=i,val[i]=0;
    cur=0;
}
int main()
{
    //freopen("C:\\Users\\acer\\Desktop\\in.txt","r",stdin);
    while(scanf("%d%d",&n,&m)!=EOF)
    {
        inti();
        //cout<<n<<" "<<m<<endl;
        for(int i=0;i<m;i++)
        {
            scanf("%d%d%d",&x,&y,&v);
            //cout<<x<<" "<<y<<" "<<v<<endl;
            x-=1;
            int fx=findx(x);
            int fy=findx(y);
            //cout<<fx<<" "<<fy<<endl;
            if(fx!=fy)
            {
                bin[fy]=fx;
                val[fy]=val[x]-val[y]+v;
            }
            else
            {
                if(val[y]-val[x]!=v)
                    cur++;
            }
        }
        printf("%d\n",cur);
    }
    return 0;
}