#include<bits/stdc++.h>
#define endl '\n'
using namespace std;
typedef long long ll;
void speed()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
}
struct point
{
int x, y, c;
bool operator < (const point &p) const
{
if (x == p.x)
return y < p.y;
return x < p.x;
}
};
const int maxn = 2e5 + 10;
int n, m, a[maxn], lc[maxn], rc[maxn];
point s[maxn];
vector < int > star[maxn];
vector < ll > dp[maxn];
void input()
{
cin >> n;
for (int i = 1; i <= n; i ++)
cin >> a[i];
cin >> m;
sort(s + 1, s + m + 1);
for (int i = 1; i <= m; i ++)
{
cin >> s[i].x >> s[i].y >> s[i].c;
star[s[i].x].push_back(i);
}
}
int cartesian_tree()
{
for (int i = 1; i <= n; i ++)
{
lc[i] = rc[i] = -1;
}
stack < int > st;
for (int i = 1; i <= n; i ++)
{
while(!st.empty() && a[st.top()] < a[i])
{
lc[i] = st.top();
st.pop();
}
st.push(i);
}
while(!st.empty())
st.pop();
for (int i = n; i > 0; i --)
{
while(!st.empty() && a[st.top()] <= a[i])
{
rc[i] = st.top();
st.pop();
}
st.push(i);
}
int root;
while(!st.empty())
{
root = st.top();
st.pop();
}
/**cout << "cartesian tree" << endl;
cout << root << endl;
for (int i = 1; i <= n; i ++)
{
cout << lc[i] << " " << rc[i] << endl;
}*/
return root;
}
const ll inf = 1e18;
int rev[maxn];
ll temp[maxn];
pair < vector < ll >, vector < int > > combine(vector < ll > dp_lf, vector < ll > dp_rf,
vector < int > ls, vector < int > rs, int height)
{
vector < int > comb = ls;
for (int cur : rs)
comb.push_back(cur);
sort(comb.begin(), comb.end());
int lf_sz = ls.size(), rf_sz = rs.size();
for (int i = 0; i <= lf_sz + rf_sz; i ++)
{
if (i > 0)
rev[comb[i - 1]] = i;
temp[i] = inf;
}
for (int i = 1; i <= lf_sz; i ++)
for (int j = 1; j <= rf_sz; j ++)
{
if (s[ls[i - 1]].y > height && s[rs[j - 1]].y > height)
continue;
///cout << "combine " << i << " " << j << " " << s[ls[i - 1]].y << " " << s[rs[j - 1]].y << endl;
int idx = max(ls[i - 1], rs[j - 1]);
temp[rev[idx]] = min(temp[rev[idx]], dp_lf[i] + dp_rf[j]);
}
for (int i = 1; i <= lf_sz; i ++)
{
temp[rev[ls[i - 1]]] = min(temp[rev[ls[i - 1]]], dp_lf[i] + dp_rf[0]);
}
for (int i = 1; i <= rf_sz; i ++)
{
temp[rev[rs[i - 1]]] = min(temp[rev[rs[i - 1]]], dp_rf[i] + dp_lf[0]);
}
temp[0] = min(temp[0], dp_lf[0] + dp_rf[0]);
vector < ll > dp(comb.size() + 1);
for (int i = 0; i <= comb.size(); i ++)
{
dp[i] = temp[i];
}
return {dp, comb};
}
void divide(int col)
{
if (lc[col] != -1) divide(lc[col]);
if (rc[col] != -1) divide(rc[col]);
int col_sz = star[col].size();
dp[col].resize(col_sz + 1);
ll sum = 0;
for (int i = 0; i < col_sz; i ++)
sum += s[star[col][i]].c;
dp[col][0] = sum;
for (int i = 1; i <= col_sz; i ++)
dp[col][i] = sum - s[star[col][i - 1]].c;
if (lc[col] != -1)
{
pair < vector < ll >, vector < int > > cur =
combine(dp[lc[col]], dp[col], star[lc[col]], star[col], a[col]);
star[col] = cur.second;
dp[col] = cur.first;
}
if (rc[col] != -1)
{
pair < vector < ll >, vector < int > > cur =
combine(dp[rc[col]], dp[col], star[rc[col]], star[col], a[col]);
star[col] = cur.second;
dp[col] = cur.first;
}
/**cout << "step "<< col << endl;
for (int cur : star[col])
cout << cur << " ";
cout << endl;
for (int cur : dp[col])
cout << cur << " ";
cout << endl;*/
}
void solve()
{
input();
int root = cartesian_tree();
divide(root);
ll ans = inf;
for (int i = 0; i <= m; i ++)
ans = min(ans, dp[root][i]);
cout << ans << endl;
}
int main()
{
speed();
solve();
return 0;
}
Compilation message
constellation3.cpp: In function 'std::pair<std::vector<long long int>, std::vector<int> > combine(std::vector<long long int>, std::vector<long long int>, std::vector<int>, std::vector<int>, int)':
constellation3.cpp:138:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
138 | for (int i = 0; i <= comb.size(); i ++)
| ~~^~~~~~~~~~~~~~
constellation3.cpp: In function 'int cartesian_tree()':
constellation3.cpp:91:12: warning: 'root' may be used uninitialized in this function [-Wmaybe-uninitialized]
91 | return root;
| ^~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
3 ms |
14936 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
3 ms |
14936 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
3 ms |
14936 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |