#include<bits/stdc++.h>
using namespace std;
#define int long long
#define pb push_back
#define ld double
#define ll __int128
mt19937 rnd(51);
const int INF = 1e14 + 100;
struct st {
vector<int> t, add, arr;
void build(int v, int l, int r) {
if (l == r) {
t[v] = arr[l];
return;
}
int m = (l + r) / 2;
build(2 * v, l, m), build(2 * v + 1, m + 1, r);
}
st(vector<int> a) {
int n = a.size();
arr = a;
t.resize(4 * n);
add.resize(4 * n);
build(1, 0, n - 1);
}
void push(int v) {
t[v] += add[v];
if (v * 2 < add.size()) {
add[v * 2] += add[v];
add[v * 2 + 1] += add[v];
}
add[v] = 0;
}
void update(int v, int tl, int tr, int l, int r, int val) {
if (l > r) return;
if (tl == l && tr == r) {
add[v] += val;
return;
}
int tm = (tl + tr) / 2;
update(2 * v, tl, tm, l, min(r, tm), val), update(2 * v + 1, tm + 1, tr, max(l, tm + 1), r, val);
}
int get(int v, int l, int r, int pos) {
push(v);
if (l == r) {
return t[v];
}
int m = (l + r) / 2;
if (pos <= m) {
return get(2 * v, l, m, pos);
} else {
return get(2 * v + 1, m + 1, r, pos);
}
}
};
signed main() {
#ifdef LOCAL
freopen("input.txt", "r", stdin);
#endif // LOCAL
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, q;
cin >> n >> q;
vector<int> a(q), b(q), c(q), pr(n + 1), d(n);
vector<vector<pair<int,int>>> need(n);
for (int i = 0; i < q; i++) {
cin >> a[i] >> b[i] >> c[i];
a[i]--, b[i]--;
if (a[i] > b[i]) swap(a[i], b[i]);
b[i]--;
pr[a[i]] += c[i], pr[b[i] + 1] -= c[i];
need[a[i]].pb({b[i], c[i]});
}
int sum = 0;
for (int i = 0; i < n; i++) {
sum += pr[i];
d[i] = sum;
}
int l = 0, r = INF;
int val = *max_element(d.begin(), d.end());
while (r - l > 1) {
int mid = (r + l) / 2;
bool ok = 0, bad = 0;
if (val <= mid) {
r = mid;
continue;
}
for (int m = val - mid; m <= val - mid + 1; m++) {
for (int j = 0; j < n; j++) {
d[j] += m;
}
st t(d);
for (int j = 0; j < n; j++) {
d[j] -= m;
}
multiset<pair<int,int>> st;
int cnt = 0;
for (int i = 0; i < n; i++) {
for (auto to : need[i]) {
st.insert(to);
}
int val = t.get(1, 0, n - 1, i);
while (val > mid) {
if (st.size() == 0) {
bad = 1;
break;
}
auto to = *st.rbegin();
st.erase(st.find(to));
if (2 * to.second >= val - mid) {
int need = (val - mid + 1) / 2;
t.update(1, 0, n - 1, i, to.first, -2 * need);
to.second -= need;
if (to.second > 0) {
st.insert(to);
}
cnt += need;
break;
} else {
t.update(1, 0, n - 1, i, to.first, -2 * to.second);
cnt += to.second;
val -= 2 * to.second;
}
}
if (bad) {
break;
}
}
if (cnt <= m && !bad) {
ok = 1;
break;
}
}
if (ok) {
r = mid;
} else {
l = mid;
}
}
cout << r << endl;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
328 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
328 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
324 KB |
Output is correct |
17 |
Correct |
1 ms |
328 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
340 KB |
Output is correct |
21 |
Correct |
2 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
2 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
328 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
328 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
324 KB |
Output is correct |
17 |
Correct |
1 ms |
328 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
340 KB |
Output is correct |
21 |
Correct |
2 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
2 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
328 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
8 ms |
980 KB |
Output is correct |
29 |
Correct |
9 ms |
972 KB |
Output is correct |
30 |
Correct |
8 ms |
956 KB |
Output is correct |
31 |
Correct |
11 ms |
1036 KB |
Output is correct |
32 |
Correct |
13 ms |
852 KB |
Output is correct |
33 |
Correct |
9 ms |
980 KB |
Output is correct |
34 |
Correct |
8 ms |
852 KB |
Output is correct |
35 |
Correct |
10 ms |
852 KB |
Output is correct |
36 |
Correct |
9 ms |
980 KB |
Output is correct |
37 |
Correct |
7 ms |
956 KB |
Output is correct |
38 |
Correct |
5 ms |
980 KB |
Output is correct |
39 |
Correct |
7 ms |
976 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
328 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
324 KB |
Output is correct |
17 |
Correct |
1 ms |
328 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
340 KB |
Output is correct |
21 |
Correct |
2 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
2 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
328 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
8 ms |
980 KB |
Output is correct |
29 |
Correct |
9 ms |
972 KB |
Output is correct |
30 |
Correct |
8 ms |
956 KB |
Output is correct |
31 |
Correct |
11 ms |
1036 KB |
Output is correct |
32 |
Correct |
13 ms |
852 KB |
Output is correct |
33 |
Correct |
9 ms |
980 KB |
Output is correct |
34 |
Correct |
8 ms |
852 KB |
Output is correct |
35 |
Correct |
10 ms |
852 KB |
Output is correct |
36 |
Correct |
9 ms |
980 KB |
Output is correct |
37 |
Correct |
7 ms |
956 KB |
Output is correct |
38 |
Correct |
5 ms |
980 KB |
Output is correct |
39 |
Correct |
7 ms |
976 KB |
Output is correct |
40 |
Correct |
1008 ms |
38700 KB |
Output is correct |
41 |
Correct |
845 ms |
38448 KB |
Output is correct |
42 |
Correct |
705 ms |
38540 KB |
Output is correct |
43 |
Correct |
1194 ms |
38172 KB |
Output is correct |
44 |
Correct |
1258 ms |
38488 KB |
Output is correct |
45 |
Correct |
1568 ms |
32608 KB |
Output is correct |
46 |
Correct |
811 ms |
37656 KB |
Output is correct |
47 |
Correct |
483 ms |
31572 KB |
Output is correct |
48 |
Correct |
654 ms |
37744 KB |
Output is correct |
49 |
Correct |
383 ms |
24852 KB |
Output is correct |
50 |
Correct |
456 ms |
26980 KB |
Output is correct |
51 |
Correct |
379 ms |
25344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
328 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
324 KB |
Output is correct |
17 |
Correct |
1 ms |
328 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
340 KB |
Output is correct |
21 |
Correct |
2 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
2 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
328 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
8 ms |
980 KB |
Output is correct |
29 |
Correct |
9 ms |
972 KB |
Output is correct |
30 |
Correct |
8 ms |
956 KB |
Output is correct |
31 |
Correct |
11 ms |
1036 KB |
Output is correct |
32 |
Correct |
13 ms |
852 KB |
Output is correct |
33 |
Correct |
9 ms |
980 KB |
Output is correct |
34 |
Correct |
8 ms |
852 KB |
Output is correct |
35 |
Correct |
10 ms |
852 KB |
Output is correct |
36 |
Correct |
9 ms |
980 KB |
Output is correct |
37 |
Correct |
7 ms |
956 KB |
Output is correct |
38 |
Correct |
5 ms |
980 KB |
Output is correct |
39 |
Correct |
7 ms |
976 KB |
Output is correct |
40 |
Correct |
1008 ms |
38700 KB |
Output is correct |
41 |
Correct |
845 ms |
38448 KB |
Output is correct |
42 |
Correct |
705 ms |
38540 KB |
Output is correct |
43 |
Correct |
1194 ms |
38172 KB |
Output is correct |
44 |
Correct |
1258 ms |
38488 KB |
Output is correct |
45 |
Correct |
1568 ms |
32608 KB |
Output is correct |
46 |
Correct |
811 ms |
37656 KB |
Output is correct |
47 |
Correct |
483 ms |
31572 KB |
Output is correct |
48 |
Correct |
654 ms |
37744 KB |
Output is correct |
49 |
Correct |
383 ms |
24852 KB |
Output is correct |
50 |
Correct |
456 ms |
26980 KB |
Output is correct |
51 |
Correct |
379 ms |
25344 KB |
Output is correct |
52 |
Correct |
4749 ms |
39488 KB |
Output is correct |
53 |
Correct |
1874 ms |
39216 KB |
Output is correct |
54 |
Correct |
4764 ms |
39288 KB |
Output is correct |
55 |
Correct |
5455 ms |
39684 KB |
Output is correct |
56 |
Correct |
4935 ms |
39556 KB |
Output is correct |
57 |
Correct |
4360 ms |
38308 KB |
Output is correct |
58 |
Correct |
4319 ms |
38692 KB |
Output is correct |
59 |
Correct |
2272 ms |
22608 KB |
Output is correct |