Cod sursa(job #2206093)

Utilizator whoiscrisCristian Plop whoiscris Data 21 mai 2018 01:38:47
Problema Arbori indexati binar Scor 30
Compilator cpp Status done
Runda Arhiva educationala Marime 1.46 kb
#include <vector>
#include <stdlib.h>
#include <stdio.h>
#include <iostream>
using namespace std;

class BIT {

public:

	vector<int> arr;

	BIT(int n) {
		arr.resize(n+1);	// we start at index 1 .. n
	}


	void update (int i, int delta) {

		int n = arr.size();
		while (i < n) {
			arr[i] += delta;
			i += (i & -i);
		}
	}

	// computes prefix sum at [1 .. i]
	int prefix_sum (int i) {
		int sum = 0;

		while (i > 0) {
			sum += arr[i];
			i -= (i & -i);
		}
		return sum;
	}

	// computes range sum at [i .. j]
	int range_sum (int i, int j) {
		return prefix_sum(j) - prefix_sum(i-1);
	}
};


int op2 (BIT& bit, int a) {

	// we need to do the binary search directly on the bit.
	int max_stepsize = 1;
	int n = bit.arr.size();
	while (max_stepsize < n) {
		max_stepsize <<= 1;
	}

	int k = 0;
	int j;
	for (int step_size = max_stepsize; step_size > 0; step_size >>= 1) {
		j = k+step_size;
		if (j < n && bit.arr[j] <= a) {
			a -= bit.arr[j];
			k += step_size;
		}

		if (a == 0) {
			return k;
		}
	}
	return -1;
}

int main () {

	freopen ("aib.in", "r", stdin);
	freopen ("aib.out", "w", stdout);

	int n,m;
	cin >> n >> m;
	BIT bit(n);
	int val, c, a, b;
	for (int i=0; i<n; ++i) {
		cin >> val;
		bit.update(i+1, val);
	}

	for (int i=0; i<m; ++i) {
		cin >> c;

		if (c == 0) {
			cin >> a >> b;
			bit.update(a,b);
		}
		else if (c == 1) {
			cin >> a >> b;
			cout << bit.range_sum(a,b) << endl;
		}
		else {
			cin >> a;
			cout << op2 (bit, a) << endl;
		}
	}

	return 0;
}