#include <iostream>
#include <iomanip>
#include <cstdio>
#include <vector>
#include <bitset>
#include <string>
#include <cstring>
#include <map>
#include <set>
#include <stack>
#include <queue>
#include <deque>
#include <utility>
#include <algorithm>
#include <random>
#include <cmath>
#include <cassert>
#include <climits>
#include <ctime>
#include <chrono>
#pragma GCC optimize("Ofast")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,sse4.1,sse4.2,popcnt,abm,mmx,avx,avx2,tune=native")
#ifdef LOCAL
#define dbg(x) cout << #x << " : " << x << endl;
#else
#define dbg(x)
#endif
#define pb push_back
#define ppb pop_back()
#define mp make_pair
#define fi(a, b) for (int i = a; i < b; i++)
#define fj(a, b) for (int j = a; j < b; j++)
#define fk(a, b) for (int k = a; k < b; k++)
#define fi1(a, b) for (int i = a - 1; i >= b; i--)
#define fj1(a, b) for (int j = a - 1; j >= b; j--)
#define fk1(a, b) for (int k = a - 1; k >= b; k--)
#define fx(x, a) for (auto& x : a)
#define rep(i, a, b) for (int i = a; i < b; ++i)
#define rep1(i, a, b) for (int i = a - 1; i >= b; --i)
#define siz(x) (int)x.size()
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
using namespace std;
template<typename T1, typename T2>inline void mine(T1 &x, const T2 &y) { if (y < x) x = y; }
template<typename T1, typename T2>inline void maxe(T1 &x, const T2 &y) { if (x < y) x = y; }
ostream& operator << (ostream &out, const vector<int> &b) {
for (auto k : b) out << k << ' ';
return out;
}
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef char ch;
typedef string str;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<pii> vpii;
typedef vector<vpii> vvpii;
typedef vector<ch> vch;
typedef vector<vch> vvch;
typedef vector<str> vs;
const int MOD = 1000000007;
const int INF = 1000000050;
const long long BIG = (long long)2e18 + 50;
#ifdef LOCAL
const int MX = 20;
#else
const int MX = 410;
#endif
const double EPS = 1e-9;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int n;
int cnt[MX][3];
int dp[MX][MX / 2][MX / 2][3]; // pref cur0 cur1 last
int p[3];
int np[3];
vi in[3];
int32_t main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n;
vi a(n);
fx(x, a) {
char c;
cin >> c;
if (c == 'R')
x = 0;
else if (c == 'G')
x = 1;
else
x = 2;
}
fi(1, n + 1) {
fj(0, 3) {
cnt[i][j] = cnt[i - 1][j];
}
cnt[i][a[i - 1]]++;
in[a[i - 1]].pb(i - 1);
}
fj(0, 3) {
if (cnt[n][j] > (n + 1) / 2) {
cout << "-1\n";
return 0;
}
}
vi c(3);
c[0] = cnt[n][0];
c[1] = cnt[n][1];
c[2] = cnt[n][2];
fi(0, MX) fj(0, MX / 2) fk(0, MX / 2) for (int l = 0; l < 3; ++l) dp[i][j][k][l] = INF;
for (int l = 0; l < 3; ++l) dp[0][0][0][l] = 0;
fi(0, n) {
int b0 = min(c[0], i);
int b1 = min(c[1], i);
for (p[0] = 0; p[0] <= b0; ++p[0]) {
for (p[1] = 0; p[1] <= b1; ++p[1]) {
p[2] = i - p[0] - p[1];
if (p[2] < 0 || p[2] > c[2]) continue;
memcpy(np, p, sizeof(p));
for (int l = 0; l < 3; ++l) {
if (i && !p[l]) continue;
for (int l2 = 0; l2 < 3; ++l2) {
if (l2 == l || p[l2] == c[l2]) continue;
np[l2]++;
int j = in[l2][p[l2]];
int delta = 0;
for (int col = 0; col < 3; ++col) {
if (col != l2) {
delta += max(0, cnt[j][col] - p[col]);
}
}
mine(dp[i + 1][np[0]][np[1]][l2], dp[i][p[0]][p[1]][l] + delta);
np[l2]--;
}
}
}
}
}
int ans = INF;
for (int l = 0; l < 3; ++l) {
mine(ans, dp[n][c[0]][c[1]][l]);
}
assert(ans != INF);
cout << ans << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
102 ms |
202732 KB |
Output is correct |
2 |
Correct |
97 ms |
202604 KB |
Output is correct |
3 |
Correct |
99 ms |
202624 KB |
Output is correct |
4 |
Correct |
100 ms |
202604 KB |
Output is correct |
5 |
Correct |
112 ms |
202604 KB |
Output is correct |
6 |
Correct |
99 ms |
202604 KB |
Output is correct |
7 |
Correct |
98 ms |
202604 KB |
Output is correct |
8 |
Correct |
99 ms |
202624 KB |
Output is correct |
9 |
Correct |
97 ms |
202604 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
98 ms |
202604 KB |
Output is correct |
12 |
Correct |
99 ms |
202604 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
98 ms |
202604 KB |
Output is correct |
15 |
Correct |
99 ms |
202604 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
102 ms |
202732 KB |
Output is correct |
2 |
Correct |
97 ms |
202604 KB |
Output is correct |
3 |
Correct |
99 ms |
202624 KB |
Output is correct |
4 |
Correct |
100 ms |
202604 KB |
Output is correct |
5 |
Correct |
112 ms |
202604 KB |
Output is correct |
6 |
Correct |
99 ms |
202604 KB |
Output is correct |
7 |
Correct |
98 ms |
202604 KB |
Output is correct |
8 |
Correct |
99 ms |
202624 KB |
Output is correct |
9 |
Correct |
97 ms |
202604 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
98 ms |
202604 KB |
Output is correct |
12 |
Correct |
99 ms |
202604 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
98 ms |
202604 KB |
Output is correct |
15 |
Correct |
99 ms |
202604 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
99 ms |
202604 KB |
Output is correct |
19 |
Correct |
99 ms |
202604 KB |
Output is correct |
20 |
Correct |
107 ms |
202732 KB |
Output is correct |
21 |
Correct |
98 ms |
202732 KB |
Output is correct |
22 |
Correct |
99 ms |
202604 KB |
Output is correct |
23 |
Correct |
99 ms |
202604 KB |
Output is correct |
24 |
Correct |
99 ms |
202732 KB |
Output is correct |
25 |
Correct |
1 ms |
364 KB |
Output is correct |
26 |
Correct |
1 ms |
364 KB |
Output is correct |
27 |
Correct |
99 ms |
202732 KB |
Output is correct |
28 |
Correct |
99 ms |
202604 KB |
Output is correct |
29 |
Correct |
99 ms |
202604 KB |
Output is correct |
30 |
Correct |
102 ms |
202604 KB |
Output is correct |
31 |
Correct |
114 ms |
202604 KB |
Output is correct |
32 |
Correct |
98 ms |
202604 KB |
Output is correct |
33 |
Correct |
1 ms |
364 KB |
Output is correct |
34 |
Correct |
1 ms |
384 KB |
Output is correct |
35 |
Correct |
97 ms |
202604 KB |
Output is correct |
36 |
Correct |
101 ms |
202736 KB |
Output is correct |
37 |
Correct |
99 ms |
202604 KB |
Output is correct |
38 |
Correct |
98 ms |
202688 KB |
Output is correct |
39 |
Correct |
99 ms |
202624 KB |
Output is correct |
40 |
Correct |
1 ms |
492 KB |
Output is correct |
41 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
100 ms |
202616 KB |
Output is correct |
2 |
Correct |
121 ms |
202636 KB |
Output is correct |
3 |
Correct |
126 ms |
202604 KB |
Output is correct |
4 |
Correct |
117 ms |
202692 KB |
Output is correct |
5 |
Correct |
117 ms |
202724 KB |
Output is correct |
6 |
Correct |
118 ms |
202604 KB |
Output is correct |
7 |
Correct |
122 ms |
202604 KB |
Output is correct |
8 |
Correct |
122 ms |
202744 KB |
Output is correct |
9 |
Correct |
118 ms |
202604 KB |
Output is correct |
10 |
Correct |
138 ms |
202604 KB |
Output is correct |
11 |
Correct |
118 ms |
202732 KB |
Output is correct |
12 |
Correct |
107 ms |
202604 KB |
Output is correct |
13 |
Correct |
109 ms |
202604 KB |
Output is correct |
14 |
Correct |
114 ms |
202604 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
102 ms |
202732 KB |
Output is correct |
2 |
Correct |
97 ms |
202604 KB |
Output is correct |
3 |
Correct |
99 ms |
202624 KB |
Output is correct |
4 |
Correct |
100 ms |
202604 KB |
Output is correct |
5 |
Correct |
112 ms |
202604 KB |
Output is correct |
6 |
Correct |
99 ms |
202604 KB |
Output is correct |
7 |
Correct |
98 ms |
202604 KB |
Output is correct |
8 |
Correct |
99 ms |
202624 KB |
Output is correct |
9 |
Correct |
97 ms |
202604 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
98 ms |
202604 KB |
Output is correct |
12 |
Correct |
99 ms |
202604 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
98 ms |
202604 KB |
Output is correct |
15 |
Correct |
99 ms |
202604 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
99 ms |
202604 KB |
Output is correct |
19 |
Correct |
99 ms |
202604 KB |
Output is correct |
20 |
Correct |
107 ms |
202732 KB |
Output is correct |
21 |
Correct |
98 ms |
202732 KB |
Output is correct |
22 |
Correct |
99 ms |
202604 KB |
Output is correct |
23 |
Correct |
99 ms |
202604 KB |
Output is correct |
24 |
Correct |
99 ms |
202732 KB |
Output is correct |
25 |
Correct |
1 ms |
364 KB |
Output is correct |
26 |
Correct |
1 ms |
364 KB |
Output is correct |
27 |
Correct |
99 ms |
202732 KB |
Output is correct |
28 |
Correct |
99 ms |
202604 KB |
Output is correct |
29 |
Correct |
99 ms |
202604 KB |
Output is correct |
30 |
Correct |
102 ms |
202604 KB |
Output is correct |
31 |
Correct |
114 ms |
202604 KB |
Output is correct |
32 |
Correct |
98 ms |
202604 KB |
Output is correct |
33 |
Correct |
1 ms |
364 KB |
Output is correct |
34 |
Correct |
1 ms |
384 KB |
Output is correct |
35 |
Correct |
97 ms |
202604 KB |
Output is correct |
36 |
Correct |
101 ms |
202736 KB |
Output is correct |
37 |
Correct |
99 ms |
202604 KB |
Output is correct |
38 |
Correct |
98 ms |
202688 KB |
Output is correct |
39 |
Correct |
99 ms |
202624 KB |
Output is correct |
40 |
Correct |
1 ms |
492 KB |
Output is correct |
41 |
Correct |
1 ms |
364 KB |
Output is correct |
42 |
Correct |
100 ms |
202616 KB |
Output is correct |
43 |
Correct |
121 ms |
202636 KB |
Output is correct |
44 |
Correct |
126 ms |
202604 KB |
Output is correct |
45 |
Correct |
117 ms |
202692 KB |
Output is correct |
46 |
Correct |
117 ms |
202724 KB |
Output is correct |
47 |
Correct |
118 ms |
202604 KB |
Output is correct |
48 |
Correct |
122 ms |
202604 KB |
Output is correct |
49 |
Correct |
122 ms |
202744 KB |
Output is correct |
50 |
Correct |
118 ms |
202604 KB |
Output is correct |
51 |
Correct |
138 ms |
202604 KB |
Output is correct |
52 |
Correct |
118 ms |
202732 KB |
Output is correct |
53 |
Correct |
107 ms |
202604 KB |
Output is correct |
54 |
Correct |
109 ms |
202604 KB |
Output is correct |
55 |
Correct |
114 ms |
202604 KB |
Output is correct |
56 |
Correct |
1 ms |
364 KB |
Output is correct |
57 |
Correct |
1 ms |
364 KB |
Output is correct |
58 |
Correct |
250 ms |
202720 KB |
Output is correct |
59 |
Correct |
254 ms |
202604 KB |
Output is correct |
60 |
Correct |
294 ms |
202732 KB |
Output is correct |
61 |
Correct |
265 ms |
202604 KB |
Output is correct |
62 |
Correct |
1 ms |
364 KB |
Output is correct |
63 |
Correct |
141 ms |
202604 KB |
Output is correct |
64 |
Correct |
181 ms |
202604 KB |
Output is correct |
65 |
Correct |
210 ms |
202604 KB |
Output is correct |
66 |
Correct |
246 ms |
202732 KB |
Output is correct |
67 |
Correct |
243 ms |
202604 KB |
Output is correct |
68 |
Correct |
253 ms |
202604 KB |
Output is correct |
69 |
Correct |
248 ms |
202732 KB |
Output is correct |
70 |
Correct |
248 ms |
202604 KB |
Output is correct |
71 |
Correct |
271 ms |
202732 KB |
Output is correct |
72 |
Correct |
1 ms |
492 KB |
Output is correct |
73 |
Correct |
1 ms |
364 KB |
Output is correct |