ITMO Academy: pilot course » Segment Tree, part 1 » Step 1 » Practice A - Segment Tree for the Sum Solution


 

Problem Link : https://codeforces.com/edu/course/2/lesson/4/1/practice/contest/273169/problem/A

Solution in C++:

  1. /// Author : AH_Tonmoy
  2. #include <bits/stdc++.h>
  3. using namespace std;
  4. const int N = 1e5 + 9 ;
  5. using ll = long long ;
  6. ll a[N] ;
  7. ll t[N*4] ;
  8. void build( ll node ,ll b , ll e ) {
  9. if ( b == e ){
  10. t[node] = a[b] ;
  11. return ;
  12. }
  13. ll l = 2 * node , r = 2 * node + 1 ;
  14. ll mid = ( b + e )/2 ;
  15. build( l , b , mid ) ;
  16. build(r , mid + 1 , e) ;
  17. t[node] = t[l] + t[r] ;
  18. }
  19. ll query( ll node , ll b , ll e , ll i , ll j ){
  20. if ( i > e or j < b) return 0 ;
  21. if ( i <= b and e <= j){
  22. return t[node] ;
  23. }
  24. ll l = 2 * node , r = 2 * node + 1 ;
  25. ll mid = ( b + e )/2 ;
  26. return query( l , b , mid , i , j ) + query( r , mid + 1 , e , i , j ) ;
  27. }
  28. void upd( ll node , ll b , ll e , ll i , ll x) {
  29. if ( i < b or i > e ) return ;
  30. if( b == e and b == i ) {
  31. t[node] = x ;
  32. return ;
  33. }
  34. ll l = 2 * node , r = 2 * node + 1 ;
  35. ll mid = ( b + e )/2 ;
  36. upd( l , b , mid , i , x) ;
  37. upd( r , mid + 1 , e , i , x) ;
  38. t[node] = t[l] + t[r] ;
  39. }
  40. int32_t main() {
  41. ios_base::sync_with_stdio(0);
  42. cin.tie(0);
  43. ll n , m ;
  44. cin >> n >> m ;
  45. for ( ll i = 0 ; i < n ; i++) {
  46. cin >> a[i] ;
  47. }
  48. build(1,0,n - 1);
  49. while ( m --) {
  50. ll num , l , r;
  51. cin >> num >> l >> r ;
  52. if ( num == 1) {
  53. upd(1 , 0 , n - 1, l , r ) ;
  54. }
  55. else
  56. cout << query(1 , 0 , n - 1 , l , r - 1 ) <<'\n' ;
  57. }
  58. return 0 ;
  59. }
  60.  

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