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9 | 9 |
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10 | 10 | template <class T>
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11 | 11 | class LazySegmentTree {
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12 |
| - private: |
13 |
| - int n; |
14 |
| - vector<T> A, st, lazy; |
| 12 | + private: |
| 13 | + int n; |
| 14 | + const T neutral = 0; //Cambiar segun la operacion |
| 15 | + vector<T> A, st, lazy; |
15 | 16 |
|
16 |
| - inline int l(int p) { return (p << 1) + 1; } // ir al hijo izquierdo |
17 |
| - inline int r(int p) { return (p << 1) + 2; } // ir al hijo derecho |
| 17 | + inline int l(int p) { return (p << 1) + 1; } // ir al hijo izquierdo |
| 18 | + inline int r(int p) { return (p << 1) + 2; } // ir al hijo derecho |
18 | 19 |
|
19 |
| - void build(int index, int start, int end) { |
20 |
| - if (start == end) { |
21 |
| - st[index] = A[start]; |
22 |
| - } else { |
23 |
| - int mid = (start + end) / 2; |
24 |
| - build(l(index), start, mid); |
25 |
| - build(r(index), mid + 1, end); |
26 |
| - st[index] = st[l(index)] + st[r(index)]; |
| 20 | + //Cambiar segun la operacion |
| 21 | + T merge(T a, T b) |
| 22 | + { |
| 23 | + return a + b; |
27 | 24 | }
|
28 |
| - } |
29 | 25 |
|
30 |
| - // Nota: Si se utiliza para el minimo o maximo de un rango no se le agrega el (end - start + 1) |
31 |
| - void propagate(int index, int start, int end) { |
32 |
| - if (lazy[index] != 0) { |
33 |
| - st[index] += (end - start + 1) * lazy[index]; |
34 |
| - if (start != end) { |
35 |
| - lazy[l(index)] += lazy[index]; |
36 |
| - lazy[r(index)] += lazy[index]; |
37 |
| - } |
38 |
| - lazy[index] = 0; |
| 26 | + // Nota: Si se utiliza para el minimo o maximo de un rango no se le agrega el (end - start + 1) |
| 27 | + void propagate(int index, int start, int end, T dif) { |
| 28 | + st[index] += (end - start + 1) * dif; |
| 29 | + if (start != end) { |
| 30 | + lazy[l(index)] += dif; |
| 31 | + lazy[r(index)] += dif; |
| 32 | + } |
| 33 | + lazy[index] = 0; |
39 | 34 | }
|
40 |
| - } |
41 | 35 |
|
42 |
| - void add(int index, int start, int end, int i, int j, T val) { |
43 |
| - propagate(index, start, end); |
44 |
| - if ((end < i) || (start > j)) |
45 |
| - return; |
| 36 | + void add(int index, int start, int end, int i, int j, T val) { |
| 37 | + if(lazy[index]){ |
| 38 | + propagate(index, start, end, lazy[index]); |
| 39 | + } |
| 40 | + |
| 41 | + if ((end < i) || (start > j)) |
| 42 | + return; |
46 | 43 |
|
47 |
| - if (start >= i && end <= j) { |
48 |
| - st[index] += (end - start + 1) * val; |
49 |
| - if (start != end) { |
50 |
| - lazy[l(index)] += val; |
51 |
| - lazy[r(index)] += val; |
52 |
| - } |
53 |
| - return; |
54 |
| - } |
55 |
| - int mid = (start + end) / 2; |
| 44 | + if (start >= i && end <= j) { |
| 45 | + propagate(index, start, end, val); |
| 46 | + return; |
| 47 | + } |
| 48 | + int mid = (start + end) / 2; |
56 | 49 |
|
57 |
| - add(l(index), start, mid, i, j, x); |
58 |
| - add(r(index), mid + 1, end, i, j, x); |
| 50 | + add(l(index), start, mid, i, j, val); |
| 51 | + add(r(index), mid + 1, end, i, j, val); |
59 | 52 |
|
60 |
| - st[index] = (st[l(index)] + st[r(index)]); |
61 |
| - } |
| 53 | + st[index] = merge(st[l(index)], st[r(index)]); |
| 54 | + } |
62 | 55 |
|
63 |
| - T query(int index, int start, int end, int i, int j) { |
64 |
| - propagate(index, start, end); |
65 |
| - if (end < i || start > j) |
66 |
| - return 0; |
67 |
| - if ((i <= start) && (end <= j)) |
68 |
| - return st[index]; |
| 56 | + T query(int index, int start, int end, int i, int j) { |
| 57 | + if(lazy[index]){ |
| 58 | + propagate(index, start, end, lazy[index]); |
| 59 | + } |
69 | 60 |
|
70 |
| - int mid = (start + end) / 2; |
| 61 | + if (end < i || start > j) |
| 62 | + return neutral; |
| 63 | + if ((i <= start) && (end <= j)) |
| 64 | + return st[index]; |
71 | 65 |
|
72 |
| - return query(l(index), start, mid, i, j) + query(r(index), mid + 1, end, i, j); |
73 |
| - } |
| 66 | + int mid = (start + end) / 2; |
74 | 67 |
|
75 |
| - public: |
76 |
| - LazySegmentTree(int sz) : n(sz), st(4 * n), lazy(4 * n) {} |
| 68 | + return merge(query(l(index), start, mid, i, j), query(r(index), mid + 1, end, i, j)); |
| 69 | + } |
77 | 70 |
|
78 |
| - LazySegmentTree(const vector<T> &initialA) : LazySegmentTree(SZ(initialA)) { |
79 |
| - A = initialA; |
80 |
| - build(0, 0, n - 1); |
81 |
| - } |
82 |
| - // [i, j] |
83 |
| - void add(int i, int j, T val) { add(0, 0, n - 1, i, j, val); } // [i, j] |
84 |
| - T query(int i, int j) { return query(0, 0, n - 1, i, j); } // [i, j] |
| 71 | + public: |
| 72 | + LazySegmentTree(int sz) : n(sz), st(4 * n), lazy(4 * n) {} |
| 73 | + // [i, j] |
| 74 | + void add(int i, int j, T val) { add(0, 0, n - 1, i, j, val); } // [i, j] |
| 75 | + T query(int i, int j) { return query(0, 0, n - 1, i, j); } // [i, j] |
85 | 76 | };
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