# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
82817 | farukkastamonuda | Untitled (POI11_ins) | C++14 | 2208 ms | 132096 KiB |
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 <cstdio>
#include <vector>
#include <queue>
#include <cassert>
#include <bits/stdc++.h>
using namespace std;
typedef long long LL;
const int MAXN = 1000123;
const int NOANS = -1;
int deg[MAXN];
vector<int> v[MAXN];
int n;
bool used[MAXN];
int myDeg[MAXN], father[MAXN], sizeOfSubtree[MAXN], depth[MAXN], maxSubtree[MAXN];
LL cost[MAXN];
queue<int> q;
vector<int> cands;
vector<int> getCandidates;
void dfs(int x) {
used[x] = true;
for(int i = 0; i < (int)v[x].size(); i ++) if (!used[v[x][i]]) {
father[v[x][i]] = x;
dfs(v[x][i]);
}
}
vector<int> getCands(int root) {
for(int i = 0; i < n; i ++) {
myDeg[i] = deg[i];
used[i] = false;
father[i] = - 1;
sizeOfSubtree[i] = 1;
maxSubtree[i] = 0;
}
dfs(root);
for(int i = 0; i < n; i ++) if (myDeg[i] == 1) {
q.push(i);
}
while (! q.empty()) {
int wz1 = q.front(); q.pop();
myDeg[father[wz1]] --;
if (std::max(n - sizeOfSubtree[wz1], maxSubtree[wz1]) <= n / 2) {
cands.push_back(wz1);
}
sizeOfSubtree[father[wz1]] += sizeOfSubtree[wz1];
maxSubtree[father[wz1]] = std::max(maxSubtree[father[wz1]], sizeOfSubtree[wz1]);
if (myDeg[father[wz1]] == 1 && father[wz1] != - 1) {
q.push(father[wz1]);
}
}
return cands;
}
LL anal(int root) {
for(int i = 0; i < n; i ++) {
myDeg[i] = deg[i];
used[i] = false;
father[i] = - 1;
sizeOfSubtree[i] = 1;
cost[i] = 0;
depth[i] = 0;
}
dfs(root);
queue<int> q;
for(int i = 0; i < n; i++) if (myDeg[i] == 1) {
q.push(i);
}
while (! q.empty()) {
int wz1 = q.front();
q.pop();
myDeg[father[wz1]] --;
sizeOfSubtree[father[wz1]] += sizeOfSubtree[wz1];
cost[father[wz1]] += (2L * sizeOfSubtree[wz1] + cost[wz1]);
depth[father[wz1]] = std::max(depth[father[wz1]], depth[wz1] + 1);
if (myDeg[father[wz1]] == 1 && father[wz1] != - 1) {
q.push(father[wz1]);
}
}
int maxDepth = 0;
for(int i = 0; i < (int)v[root].size(); i ++) {
maxDepth = std::max(maxDepth, depth[v[root][i]]);
}
for(int i = 0; i < (int)v[root].size(); i ++) {
if (sizeOfSubtree[v[root][i]] == n / 2) {
maxDepth = depth[v[root][i]];
}
}
return cost[root] - (maxDepth + 1);
}
int main() {
int a, b;
scanf("%d", &n);
if (n == 1) {
printf("0\n");
return 0;
}
for(int i = 0; i < n - 1; i ++) {
scanf("%d %d", &a, &b);
a --; b --;
v[a].push_back(b);
v[b].push_back(a);
deg[a] ++;
deg[b] ++;
}
getCandidates = getCands(n - 1);
if (getCandidates.size() == 1) {
int a = getCandidates[0];
for(int i = 0; i < a; i++) {
printf("%d\n", NOANS);
}
printf("%lld\n", anal(a));
for(int i = a + 1; i < n; i++) {
printf("%d\n", NOANS);
}
} else if (getCandidates.size() == 2) {
int a = getCandidates[ 0 ], b = getCandidates[ 1 ];
if (a > b) swap(a, b);
for(int i = 0; i < a; i ++) {
printf("%d\n", NOANS);
}
printf("%lld\n", anal(a));
for(int i = a + 1; i < b; i ++) {
printf("%d\n", NOANS);
}
printf("%lld\n", anal(b));
for(int i = b + 1; i < n; i ++) {
printf("%d\n", NOANS);
}
} else {
assert(false);
}
return 0;
}
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