#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define ld double
#define sz(x) (int)x.size()
#define all(x) x.begin(),x.end()
#define pb emplace_back
#define X first
#define Y second
const int N = 2e5 + 5;
typedef pair<int,int> ii;
vector<ii> g[N];
ll s[N], z[N];
ll h[N], t[N];
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int n; cin >> n;
int q; cin >> q;
for(int i = 0 ; i < q ; ++i) {
int l; cin >> l;
int r; cin >> r;
int x; cin >> x;
if (l > r) swap(l,r);
g[l].pb(r,x);
s[l] += x;
s[r] -= x;
}
ll mx = -1;
int ps = 0;
for(int i = 1 ; i <= n ; ++i) {
s[i] += s[i - 1];
if (mx < s[i])
mx = s[i],
ps = i;
}
for(int i = 1 ; i <= ps ; ++i) z[i] = max(z[i - 1],s[i]);
for(int i = n ; i >= ps ; --i) z[i] = max(z[i + 1],s[i]);
auto check = [&](ll x) {
ll sum = 0;
for(int i = 0 ; i < n ; ++i)
h[i] = min(h[i],x),
t[i] = 0;
h[ps] = 0;
priority_queue<ii> pq;
for(int i = 1 ; i <= ps ; ++i) {
for(ii e : g[i])
if (e.X > ps) pq.push(e);
sum += h[i - 1] - h[i];
while (sum) {
if (pq.empty()) return 0;
int p = pq.top().X;
int c = pq.top().Y;
pq.pop();
if (c >= sum) {
c -= sum;
t[p] -= sum;
pq.push(ii(p,c));
sum = 0;
}
else {
sum -= c;
t[p] -= c;
}
}
}
for(int i = 1 ; i < n ; ++i) {
t[i] += t[i - 1];
if (h[i] + t[i] < 0)
return 0;
}
return 1;
};
auto chk = [&](ll M) {
for(int i = 0 ; i < 2 ; ++i) {
ll x = z[ps] - M + i;
for(int j = 0 ; j < n ; ++j)
h[j] = (x + M - z[j]) / 2;
if (h[0] >= x && check(x))
return 1;
}
return 0;
};
ll L = 0;
ll R = mx;
while(L < R) {
ll M = (L + R) / 2;
if (chk(M))
R = M;
else
L = M + 1;
}
cout << L << endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
4984 KB |
Output is correct |
2 |
Correct |
8 ms |
5112 KB |
Output is correct |
3 |
Correct |
8 ms |
5112 KB |
Output is correct |
4 |
Correct |
8 ms |
5112 KB |
Output is correct |
5 |
Correct |
8 ms |
5112 KB |
Output is correct |
6 |
Correct |
8 ms |
4984 KB |
Output is correct |
7 |
Correct |
8 ms |
5112 KB |
Output is correct |
8 |
Correct |
8 ms |
4984 KB |
Output is correct |
9 |
Correct |
9 ms |
5112 KB |
Output is correct |
10 |
Correct |
9 ms |
4984 KB |
Output is correct |
11 |
Correct |
8 ms |
5112 KB |
Output is correct |
12 |
Correct |
8 ms |
4984 KB |
Output is correct |
13 |
Correct |
8 ms |
5112 KB |
Output is correct |
14 |
Correct |
8 ms |
5112 KB |
Output is correct |
15 |
Correct |
8 ms |
4984 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
4984 KB |
Output is correct |
2 |
Correct |
8 ms |
5112 KB |
Output is correct |
3 |
Correct |
8 ms |
5112 KB |
Output is correct |
4 |
Correct |
8 ms |
5112 KB |
Output is correct |
5 |
Correct |
8 ms |
5112 KB |
Output is correct |
6 |
Correct |
8 ms |
4984 KB |
Output is correct |
7 |
Correct |
8 ms |
5112 KB |
Output is correct |
8 |
Correct |
8 ms |
4984 KB |
Output is correct |
9 |
Correct |
9 ms |
5112 KB |
Output is correct |
10 |
Correct |
9 ms |
4984 KB |
Output is correct |
11 |
Correct |
8 ms |
5112 KB |
Output is correct |
12 |
Correct |
8 ms |
4984 KB |
Output is correct |
13 |
Correct |
8 ms |
5112 KB |
Output is correct |
14 |
Correct |
8 ms |
5112 KB |
Output is correct |
15 |
Correct |
8 ms |
4984 KB |
Output is correct |
16 |
Correct |
8 ms |
5112 KB |
Output is correct |
17 |
Correct |
9 ms |
5112 KB |
Output is correct |
18 |
Correct |
9 ms |
5112 KB |
Output is correct |
19 |
Correct |
9 ms |
5112 KB |
Output is correct |
20 |
Correct |
9 ms |
5112 KB |
Output is correct |
21 |
Correct |
9 ms |
5112 KB |
Output is correct |
22 |
Correct |
9 ms |
5112 KB |
Output is correct |
23 |
Correct |
8 ms |
5112 KB |
Output is correct |
24 |
Correct |
9 ms |
5112 KB |
Output is correct |
25 |
Correct |
9 ms |
5020 KB |
Output is correct |
26 |
Correct |
8 ms |
5112 KB |
Output is correct |
27 |
Correct |
8 ms |
5112 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
4984 KB |
Output is correct |
2 |
Correct |
8 ms |
5112 KB |
Output is correct |
3 |
Correct |
8 ms |
5112 KB |
Output is correct |
4 |
Correct |
8 ms |
5112 KB |
Output is correct |
5 |
Correct |
8 ms |
5112 KB |
Output is correct |
6 |
Correct |
8 ms |
4984 KB |
Output is correct |
7 |
Correct |
8 ms |
5112 KB |
Output is correct |
8 |
Correct |
8 ms |
4984 KB |
Output is correct |
9 |
Correct |
9 ms |
5112 KB |
Output is correct |
10 |
Correct |
9 ms |
4984 KB |
Output is correct |
11 |
Correct |
8 ms |
5112 KB |
Output is correct |
12 |
Correct |
8 ms |
4984 KB |
Output is correct |
13 |
Correct |
8 ms |
5112 KB |
Output is correct |
14 |
Correct |
8 ms |
5112 KB |
Output is correct |
15 |
Correct |
8 ms |
4984 KB |
Output is correct |
16 |
Correct |
8 ms |
5112 KB |
Output is correct |
17 |
Correct |
9 ms |
5112 KB |
Output is correct |
18 |
Correct |
9 ms |
5112 KB |
Output is correct |
19 |
Correct |
9 ms |
5112 KB |
Output is correct |
20 |
Correct |
9 ms |
5112 KB |
Output is correct |
21 |
Correct |
9 ms |
5112 KB |
Output is correct |
22 |
Correct |
9 ms |
5112 KB |
Output is correct |
23 |
Correct |
8 ms |
5112 KB |
Output is correct |
24 |
Correct |
9 ms |
5112 KB |
Output is correct |
25 |
Correct |
9 ms |
5020 KB |
Output is correct |
26 |
Correct |
8 ms |
5112 KB |
Output is correct |
27 |
Correct |
8 ms |
5112 KB |
Output is correct |
28 |
Correct |
12 ms |
5244 KB |
Output is correct |
29 |
Correct |
13 ms |
5240 KB |
Output is correct |
30 |
Correct |
12 ms |
5240 KB |
Output is correct |
31 |
Correct |
12 ms |
5240 KB |
Output is correct |
32 |
Correct |
13 ms |
5240 KB |
Output is correct |
33 |
Correct |
13 ms |
5240 KB |
Output is correct |
34 |
Correct |
10 ms |
5244 KB |
Output is correct |
35 |
Correct |
13 ms |
5240 KB |
Output is correct |
36 |
Correct |
12 ms |
5240 KB |
Output is correct |
37 |
Correct |
10 ms |
5240 KB |
Output is correct |
38 |
Correct |
10 ms |
5240 KB |
Output is correct |
39 |
Correct |
10 ms |
5240 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
4984 KB |
Output is correct |
2 |
Correct |
8 ms |
5112 KB |
Output is correct |
3 |
Correct |
8 ms |
5112 KB |
Output is correct |
4 |
Correct |
8 ms |
5112 KB |
Output is correct |
5 |
Correct |
8 ms |
5112 KB |
Output is correct |
6 |
Correct |
8 ms |
4984 KB |
Output is correct |
7 |
Correct |
8 ms |
5112 KB |
Output is correct |
8 |
Correct |
8 ms |
4984 KB |
Output is correct |
9 |
Correct |
9 ms |
5112 KB |
Output is correct |
10 |
Correct |
9 ms |
4984 KB |
Output is correct |
11 |
Correct |
8 ms |
5112 KB |
Output is correct |
12 |
Correct |
8 ms |
4984 KB |
Output is correct |
13 |
Correct |
8 ms |
5112 KB |
Output is correct |
14 |
Correct |
8 ms |
5112 KB |
Output is correct |
15 |
Correct |
8 ms |
4984 KB |
Output is correct |
16 |
Correct |
8 ms |
5112 KB |
Output is correct |
17 |
Correct |
9 ms |
5112 KB |
Output is correct |
18 |
Correct |
9 ms |
5112 KB |
Output is correct |
19 |
Correct |
9 ms |
5112 KB |
Output is correct |
20 |
Correct |
9 ms |
5112 KB |
Output is correct |
21 |
Correct |
9 ms |
5112 KB |
Output is correct |
22 |
Correct |
9 ms |
5112 KB |
Output is correct |
23 |
Correct |
8 ms |
5112 KB |
Output is correct |
24 |
Correct |
9 ms |
5112 KB |
Output is correct |
25 |
Correct |
9 ms |
5020 KB |
Output is correct |
26 |
Correct |
8 ms |
5112 KB |
Output is correct |
27 |
Correct |
8 ms |
5112 KB |
Output is correct |
28 |
Correct |
12 ms |
5244 KB |
Output is correct |
29 |
Correct |
13 ms |
5240 KB |
Output is correct |
30 |
Correct |
12 ms |
5240 KB |
Output is correct |
31 |
Correct |
12 ms |
5240 KB |
Output is correct |
32 |
Correct |
13 ms |
5240 KB |
Output is correct |
33 |
Correct |
13 ms |
5240 KB |
Output is correct |
34 |
Correct |
10 ms |
5244 KB |
Output is correct |
35 |
Correct |
13 ms |
5240 KB |
Output is correct |
36 |
Correct |
12 ms |
5240 KB |
Output is correct |
37 |
Correct |
10 ms |
5240 KB |
Output is correct |
38 |
Correct |
10 ms |
5240 KB |
Output is correct |
39 |
Correct |
10 ms |
5240 KB |
Output is correct |
40 |
Correct |
329 ms |
15964 KB |
Output is correct |
41 |
Correct |
363 ms |
16068 KB |
Output is correct |
42 |
Correct |
324 ms |
15700 KB |
Output is correct |
43 |
Correct |
369 ms |
15760 KB |
Output is correct |
44 |
Correct |
235 ms |
16000 KB |
Output is correct |
45 |
Correct |
350 ms |
15604 KB |
Output is correct |
46 |
Correct |
326 ms |
15496 KB |
Output is correct |
47 |
Correct |
89 ms |
15352 KB |
Output is correct |
48 |
Correct |
92 ms |
15128 KB |
Output is correct |
49 |
Correct |
78 ms |
12784 KB |
Output is correct |
50 |
Correct |
63 ms |
12664 KB |
Output is correct |
51 |
Correct |
78 ms |
12408 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
4984 KB |
Output is correct |
2 |
Correct |
8 ms |
5112 KB |
Output is correct |
3 |
Correct |
8 ms |
5112 KB |
Output is correct |
4 |
Correct |
8 ms |
5112 KB |
Output is correct |
5 |
Correct |
8 ms |
5112 KB |
Output is correct |
6 |
Correct |
8 ms |
4984 KB |
Output is correct |
7 |
Correct |
8 ms |
5112 KB |
Output is correct |
8 |
Correct |
8 ms |
4984 KB |
Output is correct |
9 |
Correct |
9 ms |
5112 KB |
Output is correct |
10 |
Correct |
9 ms |
4984 KB |
Output is correct |
11 |
Correct |
8 ms |
5112 KB |
Output is correct |
12 |
Correct |
8 ms |
4984 KB |
Output is correct |
13 |
Correct |
8 ms |
5112 KB |
Output is correct |
14 |
Correct |
8 ms |
5112 KB |
Output is correct |
15 |
Correct |
8 ms |
4984 KB |
Output is correct |
16 |
Correct |
8 ms |
5112 KB |
Output is correct |
17 |
Correct |
9 ms |
5112 KB |
Output is correct |
18 |
Correct |
9 ms |
5112 KB |
Output is correct |
19 |
Correct |
9 ms |
5112 KB |
Output is correct |
20 |
Correct |
9 ms |
5112 KB |
Output is correct |
21 |
Correct |
9 ms |
5112 KB |
Output is correct |
22 |
Correct |
9 ms |
5112 KB |
Output is correct |
23 |
Correct |
8 ms |
5112 KB |
Output is correct |
24 |
Correct |
9 ms |
5112 KB |
Output is correct |
25 |
Correct |
9 ms |
5020 KB |
Output is correct |
26 |
Correct |
8 ms |
5112 KB |
Output is correct |
27 |
Correct |
8 ms |
5112 KB |
Output is correct |
28 |
Correct |
12 ms |
5244 KB |
Output is correct |
29 |
Correct |
13 ms |
5240 KB |
Output is correct |
30 |
Correct |
12 ms |
5240 KB |
Output is correct |
31 |
Correct |
12 ms |
5240 KB |
Output is correct |
32 |
Correct |
13 ms |
5240 KB |
Output is correct |
33 |
Correct |
13 ms |
5240 KB |
Output is correct |
34 |
Correct |
10 ms |
5244 KB |
Output is correct |
35 |
Correct |
13 ms |
5240 KB |
Output is correct |
36 |
Correct |
12 ms |
5240 KB |
Output is correct |
37 |
Correct |
10 ms |
5240 KB |
Output is correct |
38 |
Correct |
10 ms |
5240 KB |
Output is correct |
39 |
Correct |
10 ms |
5240 KB |
Output is correct |
40 |
Correct |
329 ms |
15964 KB |
Output is correct |
41 |
Correct |
363 ms |
16068 KB |
Output is correct |
42 |
Correct |
324 ms |
15700 KB |
Output is correct |
43 |
Correct |
369 ms |
15760 KB |
Output is correct |
44 |
Correct |
235 ms |
16000 KB |
Output is correct |
45 |
Correct |
350 ms |
15604 KB |
Output is correct |
46 |
Correct |
326 ms |
15496 KB |
Output is correct |
47 |
Correct |
89 ms |
15352 KB |
Output is correct |
48 |
Correct |
92 ms |
15128 KB |
Output is correct |
49 |
Correct |
78 ms |
12784 KB |
Output is correct |
50 |
Correct |
63 ms |
12664 KB |
Output is correct |
51 |
Correct |
78 ms |
12408 KB |
Output is correct |
52 |
Correct |
714 ms |
16856 KB |
Output is correct |
53 |
Correct |
846 ms |
16624 KB |
Output is correct |
54 |
Correct |
1213 ms |
16896 KB |
Output is correct |
55 |
Correct |
596 ms |
16636 KB |
Output is correct |
56 |
Correct |
965 ms |
16432 KB |
Output is correct |
57 |
Correct |
1241 ms |
16616 KB |
Output is correct |
58 |
Correct |
792 ms |
16468 KB |
Output is correct |
59 |
Correct |
99 ms |
13172 KB |
Output is correct |