#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define X first
#define Y second
#define SZ(a) ((int)a.size())
#define ALL(v) v.begin(), v.end()
#define pb push_back
int lft[1000005], lst[1000005];
ll prv[1000005];
pll dp[1000005];
pll operator+(const pll &a, const ll &b) { return pll(a.X + b, a.Y + 1); }
int main() {
ios::sync_with_stdio(0), cin.tie(0);
int n, k;
string s;
cin >> n >> k >> s;
int cntA = 0, cntB = 0;
for (int i = 0; i < n + n; ++i) {
if (s[i] == 'B') ++cntB;
else lft[++cntA] = cntB;
}
for (int i = 1; i <= n; ++i)
prv[i] = prv[i - 1] + lft[i];
for (int i = 0; i <= n; ++i)
lst[lft[i]] = i;
for (int i = 1; i <= n; ++i)
lst[i] = max(lst[i], lst[i - 1]);
for (int i = 0; i <= n; ++i)
lst[i] = max(i, lst[i]);
auto line = [&](int q) {
return pll(-q, dp[q].X - prv[lst[q]] + (ll)q * lst[q]);
};
auto challenge = [&](int x, int y, int z) {
auto [ax, bx] = line(x);
auto [ay, by] = line(y);
auto [az, bz] = line(z);
return (by - bx) * (ax - az) >= (bz - bx) * (ax - ay);
};
auto get_val = [&](int q, int j) {
auto [a, b] = line(q);
return pll(a * j + b, dp[q].Y);
};
const ll INF = 2e12;
auto cal = [&](ll mid) {
fill(dp, dp + n + 1, pll(INF, INF));
dp[0] = pll(0, 0);
deque<int> dq;
for (int j = 1, p = 0; j <= n; ++j) {
while (lst[p] <= j && p < j) {
while (SZ(dq) >= 2 && challenge(dq[SZ(dq) - 2], dq.back(), p))
dq.pop_back();
dq.pb(p);
++p;
}
if (p < j)
dp[j] = min(dp[j], dp[p] + mid);
while (SZ(dq) >= 2 && get_val(dq[0], j) >= get_val(dq[1], j))
dq.pop_front();
if (!dq.empty())
dp[j] = min(dp[j], get_val(dq[0], j) + (mid + prv[j]));
}
return dp[n];
};
ll l = 0, r = (ll)n * n;
while (l < r) {
ll mid = (l + r) >> 1;
if (cal(mid).Y <= k) r = mid;
else l = mid + 1;
}
cout << cal(l).X - k * l << "\n";
}
Compilation message
chorus.cpp: In lambda function:
chorus.cpp:43:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
43 | auto [ax, bx] = line(x);
| ^
chorus.cpp:44:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
44 | auto [ay, by] = line(y);
| ^
chorus.cpp:45:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
45 | auto [az, bz] = line(z);
| ^
chorus.cpp: In lambda function:
chorus.cpp:50:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
50 | auto [a, b] = line(q);
| ^
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
296 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
296 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
264 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
296 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
264 KB |
Output is correct |
29 |
Correct |
5 ms |
468 KB |
Output is correct |
30 |
Correct |
7 ms |
468 KB |
Output is correct |
31 |
Correct |
7 ms |
468 KB |
Output is correct |
32 |
Correct |
4 ms |
468 KB |
Output is correct |
33 |
Correct |
4 ms |
468 KB |
Output is correct |
34 |
Correct |
4 ms |
468 KB |
Output is correct |
35 |
Correct |
4 ms |
468 KB |
Output is correct |
36 |
Correct |
6 ms |
524 KB |
Output is correct |
37 |
Correct |
7 ms |
528 KB |
Output is correct |
38 |
Correct |
4 ms |
468 KB |
Output is correct |
39 |
Correct |
6 ms |
504 KB |
Output is correct |
40 |
Correct |
4 ms |
468 KB |
Output is correct |
41 |
Correct |
4 ms |
468 KB |
Output is correct |
42 |
Correct |
4 ms |
468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
296 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
264 KB |
Output is correct |
29 |
Correct |
5 ms |
468 KB |
Output is correct |
30 |
Correct |
7 ms |
468 KB |
Output is correct |
31 |
Correct |
7 ms |
468 KB |
Output is correct |
32 |
Correct |
4 ms |
468 KB |
Output is correct |
33 |
Correct |
4 ms |
468 KB |
Output is correct |
34 |
Correct |
4 ms |
468 KB |
Output is correct |
35 |
Correct |
4 ms |
468 KB |
Output is correct |
36 |
Correct |
6 ms |
524 KB |
Output is correct |
37 |
Correct |
7 ms |
528 KB |
Output is correct |
38 |
Correct |
4 ms |
468 KB |
Output is correct |
39 |
Correct |
6 ms |
504 KB |
Output is correct |
40 |
Correct |
4 ms |
468 KB |
Output is correct |
41 |
Correct |
4 ms |
468 KB |
Output is correct |
42 |
Correct |
4 ms |
468 KB |
Output is correct |
43 |
Correct |
95 ms |
2388 KB |
Output is correct |
44 |
Correct |
158 ms |
3976 KB |
Output is correct |
45 |
Correct |
165 ms |
3936 KB |
Output is correct |
46 |
Correct |
84 ms |
4064 KB |
Output is correct |
47 |
Correct |
93 ms |
4060 KB |
Output is correct |
48 |
Correct |
103 ms |
4076 KB |
Output is correct |
49 |
Correct |
127 ms |
4072 KB |
Output is correct |
50 |
Correct |
167 ms |
3844 KB |
Output is correct |
51 |
Correct |
168 ms |
3936 KB |
Output is correct |
52 |
Correct |
99 ms |
4068 KB |
Output is correct |
53 |
Correct |
110 ms |
4064 KB |
Output is correct |
54 |
Correct |
170 ms |
4000 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
296 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
264 KB |
Output is correct |
29 |
Correct |
5 ms |
468 KB |
Output is correct |
30 |
Correct |
7 ms |
468 KB |
Output is correct |
31 |
Correct |
7 ms |
468 KB |
Output is correct |
32 |
Correct |
4 ms |
468 KB |
Output is correct |
33 |
Correct |
4 ms |
468 KB |
Output is correct |
34 |
Correct |
4 ms |
468 KB |
Output is correct |
35 |
Correct |
4 ms |
468 KB |
Output is correct |
36 |
Correct |
6 ms |
524 KB |
Output is correct |
37 |
Correct |
7 ms |
528 KB |
Output is correct |
38 |
Correct |
4 ms |
468 KB |
Output is correct |
39 |
Correct |
6 ms |
504 KB |
Output is correct |
40 |
Correct |
4 ms |
468 KB |
Output is correct |
41 |
Correct |
4 ms |
468 KB |
Output is correct |
42 |
Correct |
4 ms |
468 KB |
Output is correct |
43 |
Correct |
95 ms |
2388 KB |
Output is correct |
44 |
Correct |
158 ms |
3976 KB |
Output is correct |
45 |
Correct |
165 ms |
3936 KB |
Output is correct |
46 |
Correct |
84 ms |
4064 KB |
Output is correct |
47 |
Correct |
93 ms |
4060 KB |
Output is correct |
48 |
Correct |
103 ms |
4076 KB |
Output is correct |
49 |
Correct |
127 ms |
4072 KB |
Output is correct |
50 |
Correct |
167 ms |
3844 KB |
Output is correct |
51 |
Correct |
168 ms |
3936 KB |
Output is correct |
52 |
Correct |
99 ms |
4068 KB |
Output is correct |
53 |
Correct |
110 ms |
4064 KB |
Output is correct |
54 |
Correct |
170 ms |
4000 KB |
Output is correct |
55 |
Correct |
1209 ms |
23540 KB |
Output is correct |
56 |
Correct |
1574 ms |
36944 KB |
Output is correct |
57 |
Correct |
1896 ms |
36796 KB |
Output is correct |
58 |
Correct |
1000 ms |
37488 KB |
Output is correct |
59 |
Correct |
1143 ms |
37360 KB |
Output is correct |
60 |
Correct |
1235 ms |
37420 KB |
Output is correct |
61 |
Correct |
1203 ms |
37376 KB |
Output is correct |
62 |
Correct |
2044 ms |
36828 KB |
Output is correct |
63 |
Correct |
2091 ms |
37052 KB |
Output is correct |
64 |
Correct |
1259 ms |
37216 KB |
Output is correct |
65 |
Correct |
1216 ms |
37160 KB |
Output is correct |
66 |
Correct |
2094 ms |
37032 KB |
Output is correct |
67 |
Correct |
1305 ms |
37460 KB |
Output is correct |