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Count Subarrays.cpp
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Count Subarrays.cpp
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/*
Solution by Rahul Surana
***********************************************************
Given an array A1,A2,...,AN, count the number of subarrays of array A which are non-decreasing.
A subarray A[i,j], where 1≤i≤j≤N is a sequence of integers Ai,Ai+1,...,Aj.
A subarray A[i,j] is non-decreasing if Ai≤Ai+1≤Ai+2≤...≤Aj. You have to count the total number of such subarrays.
Input
The first line of input contains an integer T denoting the number of test cases. The description of T test cases follows.
The first line of each test case contains a single integer N denoting the size of array.
The second line contains N space-separated integers A1, A2, …, AN denoting the elements of the array.
Output
For each test case, output in a single line the required answer.
***********************************************************
*/
#include <bits/stdc++.h>
#define ll long long
#define vl vector<ll>
#define vi vector<int>
#define pi pair<int,int>
#define pl pair<ll,ll>
#define all(a) a.begin(),a.end()
#define mem(a,x) memset(a,x,sizeof(a))
#define pb push_back
#define mp make_pair
#define F first
#define S second
#define FOR(i,a) for(int i = 0; i < a; i++)
#define trace(x) cerr<<#x<<" : "<<x<<endl;
#define trace2(x,y) cerr<<#x<<" : "<<x<<" | "<<#y<<" : "<<y<<endl;
#define trace3(x,y,z) cerr<<#x<<" : "<<x<<" | "<<#y<<" : "<<y<<" | "<<#z<<" : "<<z<<endl;
#define fast_io std::ios::sync_with_stdio(false),cin.tie(NULL),cout.tie(NULL)
#define MOD 1000000007
using namespace std;
ll ar[100001];
int main()
{
fast_io;
int t;
cin >> t;
while(t--) {
ll n;
cin >> n;
FOR(i,n) cin >> ar[i];
vl c;
ll ans = n;
ll count = 1;
for (int i = 1; i < n; i++ ){
if(ar[i-1] <= ar[i]) count++;
else c.pb(count), count = 1;
}
if(count>1) c.pb(count);
FOR(i,c.size()) if(c[i] != 1) ans += ((c[i] * (c[i]-1)) /2);
cout << ans << "\n";
}
}