/tmp/solutions/build/vertex_set_path_composite-main.cpp:
    1|       |#include <common.h>
    2|       |#include <toy/bit.h>
    3|       |prelude;
    4|       |
    5|       |namespace {
    6|       |
    7|       |constexpr int N = 2e5;
    8|       |constexpr int P = 998244353;
    9|       |
   10|       |struct Node {
   11|       |  u32 a, b, c;
   12|    668|  auto operator+(const Node &t) const -> Node {
   13|    668|    u32 x = u64(a) * t.a % P;
   14|    668|    u32 y = (u64(a) * t.b + b) % P;
   15|    668|    u32 z = (u64(t.a) * c + t.c) % P;
   16|    668|    return {x, y, z};
   17|    668|  }
   18|       |} node[N * 2];
   19|  1.69k|auto operator+(const Node &l, u32 r) -> u32 { return (u64(l.a) * r + l.b) % P; }
   20|  1.82k|auto operator+(u32 l, const Node &r) -> u32 { return (u64(r.a) * l + r.c) % P; }
   21|       |u32 a[N];
   22|       |u32 b[N];
   23|       |int head[N];
   24|       |int size[N];
   25|       |int depth[N];
   26|       |int heavy[N];
   27|       |int ances[N];
   28|       |int parent[N];
   29|       |int node2id[N];
   30|       |int id;
   31|       |struct {
   32|       |  int to;
   33|       |  int next;
   34|       |} edge[N * 2];
   35|       |
   36|    198|def build_step_1(int u, int p) -> void {
   37|    198|  size[u] = 1;
   38|    592|  for (int e = head[u]; e; e = edge[e].next) {
                                         ^394
  ------------------
  |  Branch (38:25): [True: 66.55%, False: 33.45%]
  ------------------
   39|    394|    int v = edge[e].to;
   40|    394|    if (v != p) {
  ------------------
  |  Branch (40:9): [True: 50.00%, False: 50.00%]
  ------------------
   41|    197|      build_step_1(v, u);
   42|    197|      size[u] += size[v];
   43|    197|      if (heavy[u] == 0 || size[v] > size[heavy[u]]) {
                                         ^100
  ------------------
  |  Branch (43:11): [True: 49.24%, False: 50.76%]
  |  Branch (43:28): [True: 47.00%, False: 53.00%]
  ------------------
   44|    144|        heavy[u] = v;
   45|    144|      }
   46|    197|    }
   47|    394|  }
   48|    198|}
   49|       |
   50|    198|def build_step_2(int u, int w, int p, int d) -> void {
   51|    198|  int i = id++;
   52|    198|  node2id[u] = i;
   53|    198|  depth[i] = d;
   54|    198|  int anc = ances[i] = node2id[w];
   55|    198|  parent[i] = node2id[p];
   56|    198|  node[i * 2 + 1] = {a[u], b[u], b[u]};
   57|    198|  let a = node + anc * 2;
   58|    198|  int k = (i - anc) * 2 + 1;
   59|    276|  for (int j = 1; k & (j * 2); k -= j, j *= 2) {
                                             ^78
  ------------------
  |  Branch (59:19): [True: 28.26%, False: 71.74%]
  ------------------
   60|     78|    a[k - j] = a[k - j * 2] + a[k];
   61|     78|  }
   62|    198|  if (int v = heavy[u]; v) {
  ------------------
  |  Branch (62:25): [True: 48.99%, False: 51.01%]
  ------------------
   63|     97|    build_step_2(v, w, u, d + 1);
   64|     97|  }
   65|    592|  for (int e = head[u]; e; e = edge[e].next) {
                                         ^394
  ------------------
  |  Branch (65:25): [True: 66.55%, False: 33.45%]
  ------------------
   66|    394|    int v = edge[e].to;
   67|    394|    if (v != p && v != heavy[u]) {
                                ^197
  ------------------
  |  Branch (67:9): [True: 50.00%, False: 50.00%]
  |  Branch (67:19): [True: 50.76%, False: 49.24%]
  ------------------
   68|    100|      build_step_2(v, v, u, d + 1);
   69|    100|    }
   70|    394|  }
   71|    198|}
   72|       |
   73|  1.04k|def apply_1(int i, u32 x) -> u32 {
   74|  1.04k|  int anc = ances[i];
   75|  1.04k|  let a = node + anc * 2;
   76|  1.04k|  int r = (i - anc) * 2 + 2;
   77|  2.26k|  for (; r; r -= r & -r) {
                          ^1.21k
  ------------------
  |  Branch (77:10): [True: 53.87%, False: 46.13%]
  ------------------
   78|  1.21k|    x = a[r - (r & -r) / 2] + x;
   79|  1.21k|  }
   80|  1.04k|  return x;
   81|  1.04k|}
   82|       |
   83|  1.03k|def apply_2(int i, u32 x) -> u32 {
   84|  1.03k|  int anc = ances[i];
   85|  1.03k|  let a = node + anc * 2;
   86|  1.03k|  int r = (i - anc) * 2 + 2;
   87|  2.22k|  for (int k = 0; k < r;) {
  ------------------
  |  Branch (87:19): [True: 53.51%, False: 46.49%]
  ------------------
   88|  1.19k|    int t = 1 << log(r - k);
   89|  1.19k|    x = x + a[k + t / 2];
   90|  1.19k|    k += t;
   91|  1.19k|  }
   92|  1.03k|  return x;
   93|  1.03k|}
   94|       |
   95|    264|def apply_1(int i, int j, u32 x) -> u32 {
   96|    264|  int anc = ances[i];
   97|    264|  if (i == anc) return apply_1(j, x);
                              ^35
  ------------------
  |  Branch (97:7): [True: 13.26%, False: 86.74%]
  ------------------
   98|    229|  let a = node + anc * 2;
   99|    229|  int l = (i - anc) * 2 - 1;
  100|    229|  int r = (j - anc) * 2 + 3;
  101|    229|  int k = (-1 << log(l ^ r)) & r;
  102|    457|  for (--r; r > k; r -= r & -r) {
                                 ^228
  ------------------
  |  Branch (102:13): [True: 49.89%, False: 50.11%]
  ------------------
  103|    228|    x = a[r - (r & -r) / 2] + x;
  104|    228|  }
  105|    476|  for (++l; k > l;) {
  ------------------
  |  Branch (105:13): [True: 51.89%, False: 48.11%]
  ------------------
  106|    247|    int t = 1 << log(k - l);
  107|    247|    x = a[k - t / 2] + x;
  108|    247|    k -= t;
  109|    247|  }
  110|    229|  return x;
  111|    264|}
  112|       |
  113|    391|def apply_2(int i, int j, u32 x) -> u32 {
  114|    391|  int anc = ances[i];
  115|    391|  if (i == anc) return apply_2(j, x);
                              ^43
  ------------------
  |  Branch (115:7): [True: 11.00%, False: 89.00%]
  ------------------
  116|    348|  let a = node + anc * 2;
  117|    348|  int l = (i - anc) * 2 - 1;
  118|    348|  int r = (j - anc) * 2 + 3;
  119|    348|  int k = (-1 << log(l ^ r)) & r;
  120|    693|  for (++l; l < k; l += l & -l) {
                                 ^345
  ------------------
  |  Branch (120:13): [True: 49.78%, False: 50.22%]
  ------------------
  121|    345|    x = x + a[l + (l & -l) / 2];
  122|    345|  }
  123|    635|  for (--r; k < r;) {
  ------------------
  |  Branch (123:13): [True: 45.20%, False: 54.80%]
  ------------------
  124|    287|    int t = 1 << log(r - k);
  125|    287|    x = x + a[k + t / 2];
  126|    287|    k += t;
  127|    287|  }
  128|    348|  return x;
  129|    391|}
  130|       |
  131|       |} // namespace
  132|       |
  133|      1|int main() {
  134|      1|  rd rd;
  135|      1|  wt wt;
  136|      1|  int n = rd.uh();
  137|      1|  int q = rd.uh();
  138|      1|#ifdef LOCAL
  139|      1|  id = 0;
  140|      1|  std::memset(head, 0, 4 * n);
  141|      1|  std::memset(heavy, 0, 4 * n);
  142|      1|#endif
  143|    199|  for (int i = 0; i < n; ++i) a[i] = rd.uw(), b[i] = rd.uw();
                                       ^198 ^198
  ------------------
  |  Branch (143:19): [True: 99.50%, False: 0.50%]
  ------------------
  144|    198|  for (int i = 1; i < n; ++i) {
                                       ^197
  ------------------
  |  Branch (144:19): [True: 99.49%, False: 0.51%]
  ------------------
  145|    197|    int u = rd.uh();
  146|    197|    int v = rd.uh();
  147|    197|    edge[i * 2 | 0] = {v, head[u]}, head[u] = i * 2 | 0;
  148|    197|    edge[i * 2 | 1] = {u, head[v]}, head[v] = i * 2 | 1;
  149|    197|  }
  150|      1|  build_step_1(0, 0);
  151|      1|  build_step_2(0, 0, 0, 0);
  152|      1|  std::memset(size, 0, sizeof(int) * n);
  153|    199|  for (int i = 0; i < n; ++i) size[ances[i]]++;
                                       ^198 ^198
  ------------------
  |  Branch (153:19): [True: 99.50%, False: 0.50%]
  ------------------
  154|  1.26k|  while (q--) {
  ------------------
  |  Branch (154:10): [True: 99.92%, False: 0.08%]
  ------------------
  155|  1.25k|    let t = rd.u1();
  156|  1.25k|    if (t == 0) {
  ------------------
  |  Branch (156:9): [True: 47.97%, False: 52.03%]
  ------------------
  157|    604|      int i = node2id[rd.uh()];
  158|    604|      u32 c = rd.uw();
  159|    604|      u32 d = rd.uw();
  160|    604|      int anc = ances[i];
  161|    604|      let a = node + anc * 2;
  162|    604|      int n = size[anc];
  163|    604|      int k = (i - anc) * 2 + 1;
  164|    604|      a[k] = {c, d, d};
  165|  1.19k|      for (int j = 1;; j *= 2) {
                                     ^590
  166|  1.19k|        if (k & (j * 2)) {
  ------------------
  |  Branch (166:13): [True: 25.54%, False: 74.46%]
  ------------------
  167|    305|          a[k - j] = a[k - j * 2] + a[k];
  168|    305|          k -= j;
  169|    889|        } else {
  170|    889|          if (k + j * 3 > n * 2) break;
                                               ^604
  ------------------
  |  Branch (170:15): [True: 67.94%, False: 32.06%]
  ------------------
  171|    285|          a[k + j] = a[k] + a[k + j * 2];
  172|    285|          k += j;
  173|    285|        }
  174|  1.19k|      }
  175|    604|    }
  176|  1.25k|    if (t == 1) {
  ------------------
  |  Branch (176:9): [True: 52.03%, False: 47.97%]
  ------------------
  177|    655|      int u = node2id[rd.uh()];
  178|    655|      int v = node2id[rd.uh()];
  179|    655|      u32 x = rd.uw();
  180|    655|      int vec[20], top{};
  181|  2.65k|      while (ances[u] != ances[v]) {
  ------------------
  |  Branch (181:14): [True: 75.32%, False: 24.68%]
  ------------------
  182|  1.99k|        if (depth[ances[u]] > depth[ances[v]]) {
  ------------------
  |  Branch (182:13): [True: 50.43%, False: 49.57%]
  ------------------
  183|  1.00k|          x = apply_1(u, x);
  184|  1.00k|          u = parent[ances[u]];
  185|  1.00k|        } else {
  186|    991|          vec[top++] = v;
  187|    991|          v = parent[ances[v]];
  188|    991|        }
  189|  1.99k|      }
  190|    655|      if (u > v) {
  ------------------
  |  Branch (190:11): [True: 40.31%, False: 59.69%]
  ------------------
  191|    264|        x = apply_1(v, u, x);
  192|    391|      } else {
  193|    391|        x = apply_2(u, v, x);
  194|    391|      }
  195|  1.64k|      while (top--) {
  ------------------
  |  Branch (195:14): [True: 60.21%, False: 39.79%]
  ------------------
  196|    991|        x = apply_2(vec[top], x);
  197|    991|      }
  198|    655|      wt.uw(x);
  199|    655|    }
  200|  1.25k|  }
  201|      1|  return 0;
  202|      1|}