#include <bits/stdc++.h>
using namespace std;
#define NDEBUG 1
constexpr int P = 1000000007;
constexpr int MAXN = 500000;
constexpr int NONE = -1;
constexpr int LEFT = 0;
constexpr int RIGHT = 1;
struct Edge {
int nidx = NONE, len = 0;
};
struct Node {
int x;
Edge e[2];
};
Node nodes[2 * MAXN];
int ReadTree(int s, int n)
{
int root = NONE;
for (int i = 0; i < n; ++i) {
int ni = s + i;
nodes[ni].x = i;
int p;
scanf("%d", &p);
if (p == NONE)
root = ni;
else {
p--;
nodes[s + p].e[p < i].nidx = ni;
}
}
return root;
}
constexpr int D(int dir) { return 2 * dir - 1; }
constexpr int O(int dir) { return dir ^ 1; }
template <int dir>
int Down(int i, int len = 0) {
Node& a = nodes[i];
Edge& e = a.e[dir];
if (len == e.len)
return e.nidx;
assert(len < e.len);
len++;
int d = D(dir) * len;
int j = i + d;
Node& b = nodes[j];
b.x = a.x + d;
b.e[dir] = Edge{e.nidx, e.len - len};
b.e[O(dir)] = Edge();
return j;
}
int Align(int i, int j);
template <int dir>
int AlignDown(int i, int j) {
Edge& e = nodes[i].e[dir];
Edge& f = nodes[j].e[dir];
int len = min(e.len, f.len);
return Align(Down<dir>(i, len), Down<dir>(j, len));
}
template <int dir>
int Rotate(Edge& e) {
int j = e.nidx;
Node& a = nodes[j];
assert(a.e[O(dir)].nidx == NONE);
int res = a.e[O(dir)].len;
e.len += res + 1 + a.e[dir].len;
e.nidx = a.e[dir].nidx;
return res;
}
int Path(int i, int y, int z);
template <int dir>
int PathDown(int i, int y) {
Node& a = nodes[i];
int len = (y - a.x) * D(dir);
Edge& e = a.e[dir];
if (e.len >= len)
return 0;
int j = e.nidx;
int z = a.x + D(dir) * (e.len + 1);
int res = dir == LEFT ? Path(j, y, z) : Path(j, z, y);
return (res + Rotate<dir>(e)) % P;
}
int Path(int i, int y, int z) {
return (PathDown<LEFT>(i, y) + PathDown<RIGHT>(i, z)) % P;
}
int Align(int i, int j) {
if (i == NONE) {
assert(j == NONE);
return 0;
}
if (nodes[i].x > nodes[j].x) swap(i, j);
Node& a = nodes[i];
Node& b = nodes[j];
if (a.x == b.x)
return (AlignDown<LEFT>(i, j) + AlignDown<RIGHT>(i, j)) % P;
assert(a.x < b.x);
int res = (Path(i, a.x, b.x) + Path(j, a.x, b.x)) % P;
int len = b.x - a.x;
res = (res + len) % P;
int rec_res = (Align(Down<LEFT>(i), Down<LEFT>(j, len)) +
Align(Down<RIGHT>(i, len), Down<RIGHT>(j))) % P;
return (res + rec_res) % P;
}
int main() {
int n;
scanf("%d", &n);
int a = ReadTree(0, n);
int b = ReadTree(n, n);
printf("%d\n", Align(a, b));
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 | #include <bits/stdc++.h> using namespace std; #define NDEBUG 1 constexpr int P = 1000000007; constexpr int MAXN = 500000; constexpr int NONE = -1; constexpr int LEFT = 0; constexpr int RIGHT = 1; struct Edge { int nidx = NONE, len = 0; }; struct Node { int x; Edge e[2]; }; Node nodes[2 * MAXN]; int ReadTree(int s, int n) { int root = NONE; for (int i = 0; i < n; ++i) { int ni = s + i; nodes[ni].x = i; int p; scanf("%d", &p); if (p == NONE) root = ni; else { p--; nodes[s + p].e[p < i].nidx = ni; } } return root; } constexpr int D(int dir) { return 2 * dir - 1; } constexpr int O(int dir) { return dir ^ 1; } template <int dir> int Down(int i, int len = 0) { Node& a = nodes[i]; Edge& e = a.e[dir]; if (len == e.len) return e.nidx; assert(len < e.len); len++; int d = D(dir) * len; int j = i + d; Node& b = nodes[j]; b.x = a.x + d; b.e[dir] = Edge{e.nidx, e.len - len}; b.e[O(dir)] = Edge(); return j; } int Align(int i, int j); template <int dir> int AlignDown(int i, int j) { Edge& e = nodes[i].e[dir]; Edge& f = nodes[j].e[dir]; int len = min(e.len, f.len); return Align(Down<dir>(i, len), Down<dir>(j, len)); } template <int dir> int Rotate(Edge& e) { int j = e.nidx; Node& a = nodes[j]; assert(a.e[O(dir)].nidx == NONE); int res = a.e[O(dir)].len; e.len += res + 1 + a.e[dir].len; e.nidx = a.e[dir].nidx; return res; } int Path(int i, int y, int z); template <int dir> int PathDown(int i, int y) { Node& a = nodes[i]; int len = (y - a.x) * D(dir); Edge& e = a.e[dir]; if (e.len >= len) return 0; int j = e.nidx; int z = a.x + D(dir) * (e.len + 1); int res = dir == LEFT ? Path(j, y, z) : Path(j, z, y); return (res + Rotate<dir>(e)) % P; } int Path(int i, int y, int z) { return (PathDown<LEFT>(i, y) + PathDown<RIGHT>(i, z)) % P; } int Align(int i, int j) { if (i == NONE) { assert(j == NONE); return 0; } if (nodes[i].x > nodes[j].x) swap(i, j); Node& a = nodes[i]; Node& b = nodes[j]; if (a.x == b.x) return (AlignDown<LEFT>(i, j) + AlignDown<RIGHT>(i, j)) % P; assert(a.x < b.x); int res = (Path(i, a.x, b.x) + Path(j, a.x, b.x)) % P; int len = b.x - a.x; res = (res + len) % P; int rec_res = (Align(Down<LEFT>(i), Down<LEFT>(j, len)) + Align(Down<RIGHT>(i, len), Down<RIGHT>(j))) % P; return (res + rec_res) % P; } int main() { int n; scanf("%d", &n); int a = ReadTree(0, n); int b = ReadTree(n, n); printf("%d\n", Align(a, b)); return 0; } |
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