Cod sursa(job #2123474)

Utilizator calinfloreaCalin Florea calinflorea Data 6 februarie 2018 12:01:58
Problema Arbori indexati binar Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.81 kb
#include <bits/stdc++.h>
#define NMax 100006

using namespace std;

ifstream fin("aib.in");
ofstream fout("aib.out");

/**
aib[i] = suma elementelor din int. [i - 2 la k + 1, i], unde
k - nr. de biti de 0 de la sf. reprezentarii lui i in baza 2

i  | Interval | Suma
---------------------
1  | [1, 1]   | 1
2  | [1, 2]   | 3
3  | [3, 3]   | 3
4  | [1, 4]   | 10
5  | [5, 5]   | 5
6  | [5, 6]   | 11
7  | [7, 7]   | 7
8  | [1, 8]   | 36
*/

int k, aib[NMax], n;

int Query(int p)
{
    int s = 0;

    while(p > 0)
    {
        s += aib[p];
        p -= (p & (-p));
    }
    return s;
}

void Update(int p, int x)
{
    ///adauga x la pozitia p

    while(p <= n)
    {
        aib[p] += x;
        p += (p & (-p));
    }
}

int CautPoz(int s)
{
    ///ret cea mai din stanga poz. p cu a[1] + a[2] + ... + a[p] = s
    int st, dr, mid, p, suma = 0;

    p = -1;
    st = 1;
    dr = n;

    while(st <= dr)
    {
        mid = (st + dr) / 2;
        suma = Query(mid);
        if(suma == s)
        {
            p = mid;
            dr = mid- 1;
        }
        else if(suma > s)
            dr = mid - 1;
        else
            st = mid + 1;
    }
    return p;
}
void Citire()
{
    int i, x, y, opt;

    fin >> n >> k;

    for(i = 1; i <= n; i++)
    {
        fin >> x;
        Update(i, x);
    }
    for(i = 1; i <= k; i++)
    {
        fin >> opt;
        if(opt == 0)
        {
            fin >> x >> y;
            Update(x, y);
        }
        else
            if(opt == 1)
        {
            fin >> x >> y;
            fout << Query(y) - Query(x - 1) << "\n";
        }
        else
        {
            fin >> x;
            fout << CautPoz(x) << "\n";
        }
    }
}

int main()
{
    Citire();
    return 0;
}