/**
____ ____ ____ __________________ ____ ____ ____
||I || ||c || ||e || || || ||M || ||a || ||n ||
||__|| ||__|| ||__|| ||________________|| ||__|| ||__|| ||__||
|/__\| |/__\| |/__\| |/________________\| |/__\| |/__\| |/__\|
*/
#include <iostream>
#include <chrono>
#include <algorithm>
#include <map>
#include <vector>
#define maxn 200005
#define maxlog 20
#define INF 1000000010
#define LINF 1000000000000000005
#define endl '\n'
#define pb(x) push_back(x)
#define X first
#define Y second
#define control cerr<<"passed"<<endl;
//#pragma GCC optimize("O3" , "Ofast" , "unroll-loops" , "fast-math")
//#pragma GCC target("avx2")
using namespace std;
/**std::chrono::high_resolution_clock::time_point startT, currT;
constexpr double TIME_MULT = 1;
double timePassed()
{
using namespace std::chrono;
currT = high_resolution_clock::now();
double time = duration_cast<duration<double>>(currT - startT).count();
return time * TIME_MULT;
}*/
typedef pair <int , int> pii;
pii _merge(pii e1 , pii e2)
{
return {min(e1.X , e2.X) , max(e1.Y , e2.Y)};
}
int n;
vector <int> v[maxn];
int c[maxn];
int pom;
int x[maxn] , y[maxn];
void read()
{
pom = 0;
cin >> n;
for(int i = 1; i <= n; i++)
cin >> c[i];
vector <int> sorted;
for(int i = 1; i <= n; i++)
sorted.pb(c[i]);
sort(sorted.begin() , sorted.end());
map <int , int> id;
for(int i = 0; i < sorted.size(); i++)
{
if(i == 0)
pom++;
if(i != 0 && sorted[i] != sorted[i - 1])
pom++;
id[sorted[i]] = pom;
}
for(int i = 1; i <= n; i++)
c[i] = id[c[i]];
for(int i = 1; i < n; i++)
{
cin >> x[i] >> y[i];
v[x[i]].pb(y[i]);
v[y[i]].pb(x[i]);
}
}
int lazy[maxn * 4];
pii tree[maxn * 4];
void push(int node)
{
if(lazy[node] == 0)
return;
tree[node * 2].X = lazy[node];
tree[node * 2].Y = lazy[node];
tree[node * 2 + 1].X = lazy[node];
tree[node * 2 + 1].Y = lazy[node];
lazy[node * 2] = lazy[node];
lazy[node * 2 + 1] = lazy[node];
lazy[node] = 0;
}
pii query(int node , int l , int r , int ql , int qr)
{
if(ql > qr)
return {1e9 , 0};
if(ql == l && qr == r)
return tree[node];
push(node);
int mid = (l + r) / 2;
int new_l = max(mid + 1 , ql);
int new_r = min(mid , qr);
pii res1 = query(node * 2 , l , mid , ql , new_r);
pii res2 = query(node * 2 + 1 , mid + 1 , r , new_l , qr);
return _merge(res1 , res2);
}
void update(int node , int l , int r , int ql , int qr , int qval)
{
if(ql > qr)
return;
if(ql == l && qr == r)
{
tree[node].X = qval;
tree[node].Y = qval;
lazy[node] = qval;
return;
}
push(node);
int mid = (l + r) / 2;
int new_l = max(mid + 1 , ql);
int new_r = min(mid , qr);
update(node * 2 , l , mid , ql , new_r , qval);
update(node * 2 + 1 , mid + 1 , r , new_l , qr , qval);
tree[node] = _merge(tree[node * 2] , tree[node * 2 + 1]);
}
int fenwick[maxn];
void update_fenwick(int idx , int qval)
{
for(int i = idx; i <= pom; i += (i & (-i)))
fenwick[i] += qval;
}
int query_fenwick(int idx)
{
int ans = 0;
for(int i = idx; i >= 1; i -= (i & (-i)))
ans += fenwick[i];
return ans;
}
vector <pii> _try;
void new_segment(int from , int to)
{
int l , r , mid;
while(from <= to)
{
l = from - 1;
r = to;
while(l + 1 < r)
{
pii pomm = query(1 , 1 , n , mid , to);
if(pomm.X == pomm.Y)
r = mid;
else
l = mid;
}
pii pomm = query(1 , 1 , n , r , to);
_try.push_back({pomm.X , to - r + 1});
to = r - 1;
}
}
int par[maxn];
int depth[maxn];
int sz[maxn];
int h[maxn];
void dfs(int node , int _par = 0 , int de = 1)
{
sz[node] = 1;
depth[node] = de;
par[node] = _par;
for(int nb : v[node])
{
if(nb == _par)
continue;
dfs(nb , node , de + 1);
if(sz[nb] > sz[h[node]])
h[node] = nb;
sz[node] += sz[nb];
}
}
int idx;
int pp[maxn];
int lead[maxn];
void hld(int node , int _par = 0 , int head = 1)
{
lead[node] = head;
idx++;
pp[node] = idx;
if(h[node] != 0)
hld(h[node] , node , head);
for(int nb : v[node])
{
if(nb == _par)
continue;
if(nb == h[node])
continue;
hld(nb , node , nb);
}
}
void solve()
{
//control
dfs(1);
//control
hld(1);
for(int i = 1; i <= n; i++)
update(1 , 1 , n , pp[i] , pp[i] , c[i]);
long long inv = 0;
for(int i = 1; i < n; i++)
{
control
inv = 0;
_try.clear();
int node = x[i];
while(node)
{
new_segment(pp[lead[node]] , pp[node]);
node = par[lead[node]];
}
for(pii e : _try)
{
inv += query_fenwick(e.X - 1) * 1LL * e.Y;
update_fenwick(e.X , e.Y);
}
for(pii e : _try)
update_fenwick(e.X , -e.Y);
node = y[i];
while(node)
{
update(1 ,1 , n , pp[lead[node]] , pp[node] , c[y[i]]);
node = par[lead[node]];
}
cout << inv << endl;
}
}
int main()
{
/**#ifdef ONLINE_JUDGE /// promeni
freopen("taxi.in", "r", stdin);
freopen("taxi.out", "w", stdout);
#endif*/
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
//startT = std::chrono::high_resolution_clock::now();
read();
solve();
return 0;
}
Compilation message
construction.cpp: In function 'void read()':
construction.cpp:67:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
67 | for(int i = 0; i < sorted.size(); i++)
| ~~^~~~~~~~~~~~~~~
construction.cpp: In function 'void new_segment(int, int)':
construction.cpp:187:50: warning: 'mid' may be used uninitialized in this function [-Wmaybe-uninitialized]
187 | pii pomm = query(1 , 1 , n , mid , to);
| ^
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
4 ms |
11864 KB |
Output is correct |
| 2 |
Runtime error |
16 ms |
36292 KB |
Execution killed with signal 11 |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
4 ms |
11864 KB |
Output is correct |
| 2 |
Runtime error |
16 ms |
36292 KB |
Execution killed with signal 11 |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
4 ms |
11864 KB |
Output is correct |
| 2 |
Runtime error |
16 ms |
36292 KB |
Execution killed with signal 11 |
| 3 |
Halted |
0 ms |
0 KB |
- |
