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 <bits/stdc++.h>
using namespace std;
struct E {
long long x, e;
E(long long _x, long long _e) {
x = _x;
e = _e;
}
bool operator<(const E& other) {
if (x == other.x) {
return e < other.e;
}
return x < other.x;
}
};
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
long long n, m;
cin >> n >> m;
vector<vector<pair<long long, long long>>> g(n + m);
for (long long i = 1; i < n + m; i++) {
long long p, c;
cin >> p >> c;
g[p - 1].emplace_back(i, c);
}
function<array<long long, 3>(long long, long long, long long)> DFS = [&](long long u, long long p, long long val) {
array<long long, 3> ret = {0, -1, -1};
if (u && g[u].size() == 0) {
ret = {0, val, val};
return ret;
}
vector<E> events;
for (pair<long long, long long> _p : g[u]) {
long long v = _p.first, w = _p.second;
if (v != p) {
array<long long, 3> sub = DFS(v, u, w);
ret[0] += sub[0];
events.push_back(E(sub[1], 0));
events.push_back(E(sub[2], 1));
}
}
assert(!events.empty());
sort(events.begin(), events.end());
vector<long long> D(events.size());
D[events.size() - 1] = 0;
long long add = 0, len = 0;
for (long long i = (long long) events.size() - 2; i >= 0; i--) {
len = events[i + 1].x - events[i].x;
D[i] = D[i + 1] + add * len;
add += !events[i].e;
}
long long dist = 0, minDist = (long long) 4e18L;
add = 0, len = 0;
for (long long i = 0; i < (long long) events.size(); i++) {
len = events[i].x - (i ? events[i - 1].x : events[i].x);
dist += add * len;
minDist = min(minDist, dist + D[i]);
add += events[i].e;
}
ret[0] += minDist;
add = 0, len = 0;
add = 0; len = 0; dist = 0;
for (long long i = 0; i < (long long) events.size(); i++) {
len = events[i].x - (i ? events[i - 1].x : events[i].x);
dist += add * len;
long long curDist = dist + D[i];
if (curDist == minDist && ret[1] == -1) {
ret[1] = events[i].x;
}
if (ret[1] != -1 && curDist == minDist) {
ret[2] = events[i].x;
}
add += events[i].e;
}
ret[1] += val;
ret[2] += val;
return ret;
};
cout << DFS(0, -1, 0)[0] << '\n';
return 0;
}
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