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1 | | -template<class T, T (*e)(), T (*op)(T, T), |
2 | | - class F, F (*id)(), T (*onto)(F, T), F (*comp)(F, F)> |
| 1 | +template<class T, T (*e)(), T (*op)(T, T), class F, F (*id)(), |
| 2 | + T (*onto)(F, T), F (*comp)(F, F)> |
3 | 3 | struct lazy_segtree { |
4 | | - int N, log, S; |
5 | | - vector<T> d; |
6 | | - vector<F> lz; |
7 | | - lazy_segtree(const vector<T>& v): N(sz(v)), log(__lg(2*N-1)), |
8 | | - S(1 << log), d(2*S, e()), lz(S, id()) { |
9 | | - for (int i = 0; i < N; i++) d[S + i] = v[i]; |
10 | | - for (int i = S - 1; i >= 1; i--) pull(i); |
11 | | - } |
12 | | - void apply(int k, F f) { |
13 | | - d[k] = onto(f, d[k]); |
14 | | - if (k < S) lz[k] = comp(f, lz[k]); |
15 | | - } |
16 | | - void push(int k) { |
17 | | - apply(2*k, lz[k]), apply(2*k+1, lz[k]), lz[k] = id(); |
18 | | - } |
19 | | - void push(int l, int r) { |
20 | | - int zl = __builtin_ctz(l), zr = __builtin_ctz(r); |
21 | | - for (int i = log; i > min(zl, zr); i--) { |
22 | | - if (i > zl) push(l >> i); |
23 | | - if (i > zr) push((r - 1) >> i); |
24 | | - } |
25 | | - } |
26 | | - void pull(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); } |
27 | | - void set(int p, T x) { |
28 | | - p += S; |
29 | | - for (int i = log; i >= 1; i--) push(p >> i); |
30 | | - for (d[p] = x; p /= 2; ) pull(p); |
31 | | - } |
32 | | - T query(int l, int r) { |
33 | | - if (l == r) return T{}; |
34 | | - push(l += S, r += S); |
35 | | - T vl = e(), vr = e(); |
36 | | - for (; l < r; l /= 2, r /= 2) { |
37 | | - if (l & 1) vl = op(vl, d[l++]); |
38 | | - if (r & 1) vr = op(d[--r], vr); |
39 | | - } |
40 | | - return op(vl, vr); |
41 | | - } |
42 | | - void update(int l, int r, F f) { |
43 | | - if (l == r) return; |
44 | | - push(l += S, r += S); |
45 | | - for (int a = l, b = r; a < b; a /= 2, b /= 2) { |
46 | | - if (a & 1) apply(a++, f); |
47 | | - if (b & 1) apply(--b, f); |
48 | | - } |
49 | | - int zl = __builtin_ctz(l), zr = __builtin_ctz(r); |
50 | | - for (int i = min(zl, zr)+1; i <= log; i++) { |
51 | | - if (i > zl) pull(l >> i); |
52 | | - if (i > zr) pull((r - 1) >> i); |
53 | | - } |
54 | | - } |
| 4 | + int N, log, S; |
| 5 | + vector<T> d; |
| 6 | + vector<F> lz; |
| 7 | + lazy_segtree(const vector<T>& v): |
| 8 | + N(sz(v)), log(__lg(2 * N - 1)), S(1 << log), d(2 * S, e()), |
| 9 | + lz(S, id()) { |
| 10 | + for (int i = 0; i < N; i++) d[S + i] = v[i]; |
| 11 | + for (int i = S - 1; i >= 1; i--) pull(i); |
| 12 | + } |
| 13 | + void apply(int k, F f) { |
| 14 | + d[k] = onto(f, d[k]); |
| 15 | + if (k < S) lz[k] = comp(f, lz[k]); |
| 16 | + } |
| 17 | + void push(int k) { |
| 18 | + apply(2 * k, lz[k]), apply(2 * k + 1, lz[k]), lz[k] = id(); |
| 19 | + } |
| 20 | + void push(int l, int r) { |
| 21 | + int zl = __builtin_ctz(l), zr = __builtin_ctz(r); |
| 22 | + for (int i = log; i > min(zl, zr); i--) { |
| 23 | + if (i > zl) push(l >> i); |
| 24 | + if (i > zr) push((r - 1) >> i); |
| 25 | + } |
| 26 | + } |
| 27 | + void pull(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); } |
| 28 | + void set(int p, T x) { |
| 29 | + p += S; |
| 30 | + for (int i = log; i >= 1; i--) push(p >> i); |
| 31 | + for (d[p] = x; p /= 2;) pull(p); |
| 32 | + } |
| 33 | + T query(int l, int r) { |
| 34 | + if (l == r) return T{}; |
| 35 | + push(l += S, r += S); |
| 36 | + T vl = e(), vr = e(); |
| 37 | + for (; l < r; l /= 2, r /= 2) { |
| 38 | + if (l & 1) vl = op(vl, d[l++]); |
| 39 | + if (r & 1) vr = op(d[--r], vr); |
| 40 | + } |
| 41 | + return op(vl, vr); |
| 42 | + } |
| 43 | + void update(int l, int r, F f) { |
| 44 | + if (l == r) return; |
| 45 | + push(l += S, r += S); |
| 46 | + for (int a = l, b = r; a < b; a /= 2, b /= 2) { |
| 47 | + if (a & 1) apply(a++, f); |
| 48 | + if (b & 1) apply(--b, f); |
| 49 | + } |
| 50 | + int zl = __builtin_ctz(l), zr = __builtin_ctz(r); |
| 51 | + for (int i = min(zl, zr) + 1; i <= log; i++) { |
| 52 | + if (i > zl) pull(l >> i); |
| 53 | + if (i > zr) pull((r - 1) >> i); |
| 54 | + } |
| 55 | + } |
55 | 56 | }; |
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