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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#851693 | #5017. 相等树链 | caijianhong | 0 | 1601ms | 69144kb | C++17 | 4.7kb | 2025-01-10 22:21:46 | 2025-01-10 22:21:46 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#define debug(...) fprintf(stderr, ##__VA_ARGS__)
#else
#define endl "\n"
#define debug(...) void(0)
#endif
using LL = long long;
mt19937_64 rng{random_device{}()};
using word = mt19937_64::result_type;
constexpr int N = 2e5 + 10;
word wei[N];
int n;
bool cut[N];
struct tree {
basic_string<int> g[N];
int dfn[N], siz[N], smx[N], dep[N], cnt, st[19][N];
word sum[N];
void dfs(int u, int fa) {
dfn[u] = ++cnt, st[0][cnt] = fa, dep[u] = dep[fa] + 1, siz[u] = 1, sum[u] = sum[fa] ^ wei[u];
for (int v : g[u]) if (v != fa) dfs(v, u), siz[u] += siz[v];
}
int lca(int u, int v) {
if (u == v) return u;
int l = min(dfn[u], dfn[v]) + 1, r = max(dfn[u], dfn[v]);
int k = __lg(r - l + 1);
auto cmp = [&](int _u, int _v) { return dfn[_u] < dfn[_v]; };
return min(st[k][l], st[k][r - (1 << k) + 1], cmp);
}
int dist(int u, int v) { return dep[u] + dep[v] - 2 * dep[lca(u, v)]; }
word P(int u, int v) { return sum[u] ^ sum[v] ^ wei[lca(u, v)]; }
void init() {
for (int i = 1; i <= n; i++) g[i].clear();
cnt = 0;
smx[0] = 1e9;
for (int i = 2, fa; i <= n; i++) cin >> fa, g[i] += fa, g[fa] += i, debug("%d %d\n", i, fa);
dfs(1, 0);
auto cmp = [&](int u, int v) { return dfn[u] < dfn[v]; };
for (int j = 1; j < 19; j++) {
for (int i = 1; i + (1 << j) - 1 <= n; i++) {
st[j][i] = min(st[j - 1][i], st[j - 1][i + (1 << (j - 1)) - 1], cmp);
}
}
}
int findcen(int u, int fa, int T) {
siz[u] = 1, smx[u] = 0;
int rt = 0;
for (int v : g[u]) if (v != fa && !cut[v]) {
int nrt = findcen(v, u, T);
if (smx[nrt] < smx[rt]) rt = nrt;
siz[u] += siz[v], smx[u] = max(smx[u], siz[v]);
}
smx[u] = max(smx[u], T - siz[u]);
if (smx[u] < smx[rt]) rt = u;
return rt;
}
} t1, t2;
using robot = array<int, 2>;
constexpr robot ERR{-1, -1};
robot expand(robot bt, int x) {
int d1 = t2.dist(bt[0], x), d2 = t2.dist(bt[1], x), d3 = t2.dist(bt[0], bt[1]);
if (d1 + d2 == d3) return bt;
if (d1 + d3 == d2) return {x, bt[1]};
if (d2 + d3 == d1) return {bt[0], x};
return ERR;
}
LL ans = 0;
void solve(int rt) {
map<word, int> mp[3];
auto insert = [&](robot bt, word S) {
word T[] = {t2.P(rt, bt[0]) ^ wei[rt], t2.P(rt, bt[1]) ^ wei[rt]};
mp[0][S ^ T[0] ^ T[1]] += 1;
mp[1][S] += 1;
if (T[0]) mp[2][S ^ T[0]] += 1;
if (T[1]) mp[2][S ^ T[1]] += 1;
};
auto query = [&](robot bt, word S) {
word T[] = {t2.P(rt, bt[0]) ^ wei[rt], t2.P(rt, bt[1]) ^ wei[rt]};
ans += mp[0][S];
ans += mp[1][S ^ T[0] ^ T[1]];
if (T[0]) ans += mp[2][S ^ T[0]];
if (T[1]) ans += mp[2][S ^ T[1]];
};
vector<int> dfnr;
for (int v : t2.g[rt]) if (t2.dfn[v] > t2.dfn[rt]) dfnr.push_back(t2.dfn[v]);
sort(dfnr.begin(), dfnr.end());
auto gid = [&](int u) {
if (t2.dfn[rt] <= t2.dfn[u] && t2.dfn[u] < t2.dfn[rt] + t2.siz[rt]) {
return (int)(upper_bound(dfnr.begin(), dfnr.end(), t2.dfn[u]) - dfnr.begin() - 1);
}
return (int)dfnr.size();
};
struct node {
int b;
word S;
int op;
};
vector<vector<node>> buc(dfnr.size() + 1);
auto dfs1 = [&](auto dfs1, int u, int fa, robot bt, word S, int op) {
bt = expand(bt, u), S ^= wei[u];
debug("dfs1(%d, %d, {%d, %d}, %lx, %d)\n", u, fa, bt[0], bt[1], S, op);
if (bt == ERR) return ;
if (op) ans += (S ^ wei[rt]) == t2.P(bt[0], bt[1]);
if (op) debug("P1(%d, %d) -> P2(%d, %d)\n", u, rt, bt[0], bt[1]);
node state{-1, S, op};
if (bt[0] != rt) state.b = bt[0], buc[gid(bt[0])].push_back(state);
if (bt[1] != rt) state.b = bt[1], buc[gid(bt[1])].push_back(state);
if (op) query(bt, S);
else insert(bt, S);
for (int v : t1.g[u]) if (v != fa && !cut[v]) dfs1(dfs1, v, u, bt, S, op);
};
for (int v : t1.g[rt]) if (!cut[v]) dfs1(dfs1, v, rt, {rt, rt}, 0, +1), dfs1(dfs1, v, rt, {rt, rt}, 0, 0);
for (auto bc : buc) {
mp[2].clear();
for (auto opt : bc) {
auto b = opt.b;
auto S = opt.S;
word T = t2.P(rt, b) ^ wei[rt];
if (opt.op) {
if (T) ans -= mp[2][S ^ T];
} else {
if (T) mp[2][S ^ T] += 1;
}
}
}
}
void dfz(int u) {
solve(u), cut[u] = true;
for (int v : t1.g[u]) if (!cut[v]) dfz(t1.findcen(v, u, t1.siz[v]));
}
int main() {
#ifndef LOCAL
cin.tie(nullptr)->sync_with_stdio(false);
#endif
while (cin >> n) {
ans = 0;
memset(cut, false, sizeof cut);
for (int i = 1; i <= n; i++) wei[i] = rng(), debug("wei[%d] = %lx\n", i, wei[i]);
t1.init(), t2.init();
dfz(t1.findcen(1, 0, n));
cout << ans + n << endl;
}
return 0;
}
Details
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Subtask #1:
score: 0
Wrong Answer
Test #1:
score: 0
Wrong Answer
time: 19ms
memory: 46284kb
input:
5000 1296 1400 867 4533 1296 2007 2059 115 821 2960 3187 1597 2409 2708 4743 4778 1345 3967 911 3400 4249 3793 339 3145 3490 607 4148 3513 3264 3852 568 775 828 1348 423 3678 305 1938 1096 1373 2662 1048 4328 4208 203 779 3103 3372 4523 192 264 792 4943 2211 2494 3513 3555 4935 3277 3390 4624 128 18...
output:
34846
result:
wrong answer 1st numbers differ - expected: '76002', found: '34846'
Subtask #2:
score: 0
Wrong Answer
Test #6:
score: 0
Wrong Answer
time: 1601ms
memory: 69144kb
input:
200000 13177 40498 104798 83659 186055 32788 86489 72123 13521 134868 158968 60124 166316 163390 120935 103000 83938 57807 97940 40447 137723 154683 191864 59080 102808 3969 21451 165592 128776 49468 4101 26441 139317 59503 18053 118809 187783 149816 21609 98521 165692 52964 60425 23437 29614 106886...
output:
3246171
result:
wrong answer 1st numbers differ - expected: '5859368', found: '3246171'
Subtask #3:
score: 0
Skipped
Dependency #2:
0%
Subtask #4:
score: 0
Skipped
Dependency #1:
0%