This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#define N 300000
int max(int a, int b) { return a > b ? a : b; }
int *ej[N], eo[N]; char cc[N + 1];
void append(int i, int j) {
int o = eo[i]++;
if (o >= 2 && (o & o - 1) == 0)
ej[i] = (int *) realloc(ej[i], o * 2 * sizeof *ej[i]);
ej[i][o] = j;
}
int sz[N], c;
void dfs0(int p, int i, int n) {
int o, centroid;
sz[i] = 1, centroid = 1;
for (o = eo[i]; o--; ) {
int j = ej[i][o];
if (j != p) {
dfs0(i, j, n);
if (sz[j] * 2 > n)
centroid = 0;
sz[i] += sz[j];
}
}
if ((n - sz[i]) * 2 > n)
centroid = 0;
if (centroid)
c = i;
}
void delete(int i, int j) {
int o;
for (o = eo[i]; o--; )
if (ej[i][o] == j) {
eo[i]--;
while (o < eo[i])
ej[i][o] = ej[i][o + 1], o++;
}
}
long long ans;
int kk[N + 1], ll[N + 1], dd1[N], dd2[N], cnt1, cnt2;
void dfs1(int p, int i, int d, int d_) {
int o;
if (cc[i] == '(')
d_ = max(d_, ++d);
else
d--;
if (d == d_)
ans += ll[d], dd1[cnt1++] = d;
for (o = eo[i]; o--; ) {
int j = ej[i][o];
if (j != p)
dfs1(i, j, d, d_);
}
}
void dfs2(int p, int i, int d, int d_) {
int o;
if (cc[i] == ')')
d_ = max(d_, ++d);
else
d--;
if (d == d_)
ans += kk[d], dd2[cnt2++] = d;
for (o = eo[i]; o--; ) {
int j = ej[i][o];
if (j != p)
dfs2(i, j, d, d_);
}
}
void cd(int i, int n) {
int o;
dfs0(-1, i, n), i = c;
for (o = eo[i]; o--; ) {
int j = ej[i][o];
delete(j, i);
}
memset(kk, 0, (n + 1) * sizeof *kk), memset(ll, 0, (n + 1) * sizeof *ll), kk[0] = 1;
if (cc[i] == ')')
ll[1] = 1;
for (o = eo[i]; o--; ) {
int j = ej[i][o];
cnt1 = cnt2 = 0;
dfs1(i, j, 0, 0), dfs2(i, j, cc[i] == ')' ? 1 : -1, cc[i] == ')' ? 1 : 0);
while (cnt1--)
kk[dd1[cnt1]]++;
while (cnt2--)
ll[dd2[cnt2]]++;
}
for (o = eo[i]; o--; ) {
int j = ej[i][o];
cd(j, sz[j] < sz[i] ? sz[j] : n - sz[i]);
}
}
int main() {
int n, h, i, j;
scanf("%d%s", &n, cc);
for (i = 0; i < n; i++)
ej[i] = (int *) malloc(2 * sizeof *ej[i]);
for (h = 0; h < n - 1; h++) {
scanf("%d%d", &i, &j), i--, j--;
append(i, j), append(j, i);
}
cd(0, n);
printf("%lld\n", ans);
return 0;
}
Compilation message (stderr)
zagrade.c: In function 'append':
zagrade.c:14:23: warning: suggest parentheses around '-' in operand of '&' [-Wparentheses]
14 | if (o >= 2 && (o & o - 1) == 0)
| ~~^~~
zagrade.c: In function 'main':
zagrade.c:122:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
122 | scanf("%d%s", &n, cc);
| ^~~~~~~~~~~~~~~~~~~~~
zagrade.c:126:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
126 | scanf("%d%d", &i, &j), i--, j--;
| ^~~~~~~~~~~~~~~~~~~~~
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