//clever
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/rope>
using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
random_device(rd);
mt19937 rng(rd());
const long long FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
struct custom_hash
{
template<class T>
unsigned long long operator()(T v) const
{
unsigned long long x = v;
x += FIXED_RANDOM;
// x += 11400714819323198485ull;
// x = (x ^ (x >> 30)) * 13787848793156543929ull;
x = (x ^ (x >> 27)) * 10723151780598845931ull;
return x ^ (x >> 31);
}
};
template<class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<class T, class U> using hash_table = gp_hash_table<T, U, custom_hash>;
template<class T>
T randomize(T mod)
{
return (uniform_int_distribution<T>(0, mod - 1))(rng);
}
template<class T>
void readi(T &x)
{
x = 0;
bool negative = false;
char c = ' ';
while (c < '-')
{
c = getchar();
}
if (c == '-')
{
negative = true;
c = getchar();
}
while (c >= '0')
{
x = x * 10 + (c - '0');
c = getchar();
}
if (negative)
{
x = -x;
}
}
template<class T>
void printi(T output)
{
if (output == 0)
{
putchar('0');
return;
}
if (output < 0)
{
putchar('-');
output = -output;
}
int buf[20], n = 0;
while(output)
{
buf[n] = ((output % 10));
output /= 10;
n++;
}
for (n--; n >= 0; n--)
{
putchar(buf[n] + '0');
}
return;
}
template<class T>
void ckmin(T &a, T b)
{
a = min(a, b);
}
template<class T>
void ckmax(T &a, T b)
{
a = max(a, b);
}
long long expo(long long a, long long e, long long mod)
{
return ((e == 0) ? 1 : ((expo(a * a % mod, e >> 1, mod)) * ((e & 1) ? a : 1) % mod));
}
template<class T, class U>
void nmod(T &x, U mod)
{
if (x >= mod) x -= mod;
}
template<class T>
T gcd(T a, T b)
{
return (b ? gcd(b, a % b) : a);
}
#define y0 ___y0
#define y1 ___y1
#define MP make_pair
#define PB push_back
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define DBG(x) cerr << #x << " = " << (x) << endl
#define SZ(x) ((int) ((x).size()))
#define FOR(i, a, b) for (auto i = (a); i < (b); i++)
#define FORD(i, a, b) for (auto i = (a) - 1; i >= (b); i--)
#define ALL(x) (x).begin(), (x).end()
const long double PI = 4.0 * atan(1.0);
const long double EPS = 1e-9;
#define MAGIC 347
#define SINF 10007
#define CO 1000007
#define INF 1000000007
#define BIG 1000000931
#define LARGE 1696969696967ll
#define GIANT 2564008813937411ll
#define LLINF 2696969696969696969ll
#define MAXN 413
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pdd;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<ld> vd;
typedef vector<pii> vpi;
typedef vector<pll> vpl;
typedef vector<pdd> vpd;
int N;
int arr[MAXN];
vi pos[3];
int ans = INF;
int pref[MAXN][3];
int dp[MAXN][MAXN][MAXN][3];
int qry(int l, int r, int num)
{
if (l > r) return 0;
// cerr << num << ' ' << l << ' ' << r << ' ' << pref[r + 1][num] - pref[l][num] << endl;
return pref[r + 1][num] - pref[l][num];
}
int32_t main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
// cout << fixed << setprecision(10);
// cerr << fixed << setprecision(10);
// if (fopen("file.in", "r"))
// {
// freopen ("file.in", "r", stdin);
// freopen ("file.out", "w", stdout);
// }
cin >> N;
string temps; cin >> temps;
FOR(i, 0, N)
{
if (temps[i] == 'R') arr[i] = 0;
if (temps[i] == 'G') arr[i] = 1;
if (temps[i] == 'Y') arr[i] = 2;
pos[arr[i]].PB(i);
FOR(j, 0, 3)
{
pref[i + 1][j] = pref[i][j] + (arr[i] == j);
}
}
FOR(i, 0, N + 1)
{
FOR(j, 0, i + 1)
{
for (int k = 0; k + j <= i; k++)
{
dp[i][j][k][0] = INF;
dp[i][j][k][1] = INF;
dp[i][j][k][2] = INF;
}
}
}
dp[0][0][0][0] = 0;
dp[0][0][0][1] = 0;
dp[0][0][0][2] = 0;
FOR(i, 0, N)
{
int n[3];
for (n[0] = 0; n[0] <= i; n[0]++)
{
for (n[1] = 0; n[0] + n[1] <= i; n[1]++)
{
n[2] = i - n[0] - n[1];
FOR(k, 0, 3)
{
if (n[k] >= SZ(pos[k])) continue;
int curpos = pos[k][n[k]];
//you also shift it to the right, equal
FOR(j, 0, 3)
{
if (j == k) continue;
curpos += max(0, n[j] - qry(0, pos[k][n[k]] - 1, j));
}
int c = abs(curpos - i);
FOR(j, 0, 3)
{
if (j == k) continue;
ckmin(dp[i + 1][n[0] + (k == 0)][n[1] + (k == 1)][k], dp[i][n[0]][n[1]][j] + c);
}
}
}
}
}
FOR(i, 0, N + 1)
{
for (int j = 0; i + j <= N; j++)
{
ckmin(ans, dp[N][i][j][0]);
ckmin(ans, dp[N][i][j][1]);
ckmin(ans, dp[N][i][j][2]);
}
}
if (ans == INF)
{
cout << "-1\n";
return 0;
}
cout << ans << '\n';
// cerr << "time elapsed = " << (clock() / (CLOCKS_PER_SEC / 1000)) << " ms" << endl;
return 0;
}
/* READ READ READ
* int overflow, maxn too small, special cases (n=1?, two distinct?), cin.tie() interactive
* reread the problem, try small cases
* note down possible sources of error as you go
* do smth instead of nothing
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
3 ms |
384 KB |
Output is correct |
3 |
Correct |
3 ms |
384 KB |
Output is correct |
4 |
Correct |
3 ms |
640 KB |
Output is correct |
5 |
Correct |
2 ms |
896 KB |
Output is correct |
6 |
Correct |
3 ms |
896 KB |
Output is correct |
7 |
Correct |
3 ms |
1024 KB |
Output is correct |
8 |
Correct |
3 ms |
1024 KB |
Output is correct |
9 |
Correct |
2 ms |
1024 KB |
Output is correct |
10 |
Correct |
3 ms |
896 KB |
Output is correct |
11 |
Correct |
3 ms |
896 KB |
Output is correct |
12 |
Correct |
3 ms |
896 KB |
Output is correct |
13 |
Correct |
3 ms |
1024 KB |
Output is correct |
14 |
Correct |
2 ms |
896 KB |
Output is correct |
15 |
Correct |
2 ms |
896 KB |
Output is correct |
16 |
Correct |
3 ms |
896 KB |
Output is correct |
17 |
Correct |
3 ms |
896 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
3 ms |
384 KB |
Output is correct |
3 |
Correct |
3 ms |
384 KB |
Output is correct |
4 |
Correct |
3 ms |
640 KB |
Output is correct |
5 |
Correct |
2 ms |
896 KB |
Output is correct |
6 |
Correct |
3 ms |
896 KB |
Output is correct |
7 |
Correct |
3 ms |
1024 KB |
Output is correct |
8 |
Correct |
3 ms |
1024 KB |
Output is correct |
9 |
Correct |
2 ms |
1024 KB |
Output is correct |
10 |
Correct |
3 ms |
896 KB |
Output is correct |
11 |
Correct |
3 ms |
896 KB |
Output is correct |
12 |
Correct |
3 ms |
896 KB |
Output is correct |
13 |
Correct |
3 ms |
1024 KB |
Output is correct |
14 |
Correct |
2 ms |
896 KB |
Output is correct |
15 |
Correct |
2 ms |
896 KB |
Output is correct |
16 |
Correct |
3 ms |
896 KB |
Output is correct |
17 |
Correct |
3 ms |
896 KB |
Output is correct |
18 |
Correct |
9 ms |
8576 KB |
Output is correct |
19 |
Correct |
9 ms |
8576 KB |
Output is correct |
20 |
Correct |
10 ms |
8576 KB |
Output is correct |
21 |
Correct |
8 ms |
8576 KB |
Output is correct |
22 |
Correct |
8 ms |
8576 KB |
Output is correct |
23 |
Correct |
10 ms |
8576 KB |
Output is correct |
24 |
Correct |
10 ms |
8704 KB |
Output is correct |
25 |
Correct |
10 ms |
8576 KB |
Output is correct |
26 |
Correct |
9 ms |
8704 KB |
Output is correct |
27 |
Correct |
8 ms |
8576 KB |
Output is correct |
28 |
Correct |
9 ms |
8576 KB |
Output is correct |
29 |
Correct |
10 ms |
8624 KB |
Output is correct |
30 |
Correct |
10 ms |
8576 KB |
Output is correct |
31 |
Correct |
10 ms |
8644 KB |
Output is correct |
32 |
Correct |
9 ms |
8704 KB |
Output is correct |
33 |
Correct |
8 ms |
8320 KB |
Output is correct |
34 |
Correct |
8 ms |
8320 KB |
Output is correct |
35 |
Correct |
8 ms |
8064 KB |
Output is correct |
36 |
Correct |
8 ms |
8320 KB |
Output is correct |
37 |
Correct |
8 ms |
7936 KB |
Output is correct |
38 |
Correct |
8 ms |
8576 KB |
Output is correct |
39 |
Correct |
8 ms |
8576 KB |
Output is correct |
40 |
Correct |
8 ms |
8320 KB |
Output is correct |
41 |
Correct |
9 ms |
8576 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
462 ms |
380800 KB |
Output is correct |
3 |
Correct |
398 ms |
378872 KB |
Output is correct |
4 |
Correct |
402 ms |
380792 KB |
Output is correct |
5 |
Correct |
384 ms |
380812 KB |
Output is correct |
6 |
Correct |
397 ms |
380836 KB |
Output is correct |
7 |
Correct |
380 ms |
378920 KB |
Output is correct |
8 |
Correct |
383 ms |
378876 KB |
Output is correct |
9 |
Correct |
375 ms |
377108 KB |
Output is correct |
10 |
Correct |
382 ms |
380792 KB |
Output is correct |
11 |
Correct |
397 ms |
380792 KB |
Output is correct |
12 |
Correct |
96 ms |
99832 KB |
Output is correct |
13 |
Correct |
182 ms |
177528 KB |
Output is correct |
14 |
Correct |
264 ms |
258424 KB |
Output is correct |
15 |
Correct |
378 ms |
380792 KB |
Output is correct |
16 |
Correct |
401 ms |
380828 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
3 ms |
384 KB |
Output is correct |
3 |
Correct |
3 ms |
384 KB |
Output is correct |
4 |
Correct |
3 ms |
640 KB |
Output is correct |
5 |
Correct |
2 ms |
896 KB |
Output is correct |
6 |
Correct |
3 ms |
896 KB |
Output is correct |
7 |
Correct |
3 ms |
1024 KB |
Output is correct |
8 |
Correct |
3 ms |
1024 KB |
Output is correct |
9 |
Correct |
2 ms |
1024 KB |
Output is correct |
10 |
Correct |
3 ms |
896 KB |
Output is correct |
11 |
Correct |
3 ms |
896 KB |
Output is correct |
12 |
Correct |
3 ms |
896 KB |
Output is correct |
13 |
Correct |
3 ms |
1024 KB |
Output is correct |
14 |
Correct |
2 ms |
896 KB |
Output is correct |
15 |
Correct |
2 ms |
896 KB |
Output is correct |
16 |
Correct |
3 ms |
896 KB |
Output is correct |
17 |
Correct |
3 ms |
896 KB |
Output is correct |
18 |
Correct |
9 ms |
8576 KB |
Output is correct |
19 |
Correct |
9 ms |
8576 KB |
Output is correct |
20 |
Correct |
10 ms |
8576 KB |
Output is correct |
21 |
Correct |
8 ms |
8576 KB |
Output is correct |
22 |
Correct |
8 ms |
8576 KB |
Output is correct |
23 |
Correct |
10 ms |
8576 KB |
Output is correct |
24 |
Correct |
10 ms |
8704 KB |
Output is correct |
25 |
Correct |
10 ms |
8576 KB |
Output is correct |
26 |
Correct |
9 ms |
8704 KB |
Output is correct |
27 |
Correct |
8 ms |
8576 KB |
Output is correct |
28 |
Correct |
9 ms |
8576 KB |
Output is correct |
29 |
Correct |
10 ms |
8624 KB |
Output is correct |
30 |
Correct |
10 ms |
8576 KB |
Output is correct |
31 |
Correct |
10 ms |
8644 KB |
Output is correct |
32 |
Correct |
9 ms |
8704 KB |
Output is correct |
33 |
Correct |
8 ms |
8320 KB |
Output is correct |
34 |
Correct |
8 ms |
8320 KB |
Output is correct |
35 |
Correct |
8 ms |
8064 KB |
Output is correct |
36 |
Correct |
8 ms |
8320 KB |
Output is correct |
37 |
Correct |
8 ms |
7936 KB |
Output is correct |
38 |
Correct |
8 ms |
8576 KB |
Output is correct |
39 |
Correct |
8 ms |
8576 KB |
Output is correct |
40 |
Correct |
8 ms |
8320 KB |
Output is correct |
41 |
Correct |
9 ms |
8576 KB |
Output is correct |
42 |
Correct |
2 ms |
384 KB |
Output is correct |
43 |
Correct |
462 ms |
380800 KB |
Output is correct |
44 |
Correct |
398 ms |
378872 KB |
Output is correct |
45 |
Correct |
402 ms |
380792 KB |
Output is correct |
46 |
Correct |
384 ms |
380812 KB |
Output is correct |
47 |
Correct |
397 ms |
380836 KB |
Output is correct |
48 |
Correct |
380 ms |
378920 KB |
Output is correct |
49 |
Correct |
383 ms |
378876 KB |
Output is correct |
50 |
Correct |
375 ms |
377108 KB |
Output is correct |
51 |
Correct |
382 ms |
380792 KB |
Output is correct |
52 |
Correct |
397 ms |
380792 KB |
Output is correct |
53 |
Correct |
96 ms |
99832 KB |
Output is correct |
54 |
Correct |
182 ms |
177528 KB |
Output is correct |
55 |
Correct |
264 ms |
258424 KB |
Output is correct |
56 |
Correct |
378 ms |
380792 KB |
Output is correct |
57 |
Correct |
401 ms |
380828 KB |
Output is correct |
58 |
Correct |
405 ms |
380776 KB |
Output is correct |
59 |
Correct |
419 ms |
380748 KB |
Output is correct |
60 |
Correct |
403 ms |
376952 KB |
Output is correct |
61 |
Correct |
413 ms |
379000 KB |
Output is correct |
62 |
Correct |
397 ms |
380792 KB |
Output is correct |
63 |
Correct |
392 ms |
380888 KB |
Output is correct |
64 |
Correct |
395 ms |
380956 KB |
Output is correct |
65 |
Correct |
397 ms |
379000 KB |
Output is correct |
66 |
Correct |
390 ms |
375156 KB |
Output is correct |
67 |
Correct |
422 ms |
380792 KB |
Output is correct |
68 |
Correct |
434 ms |
378824 KB |
Output is correct |
69 |
Correct |
398 ms |
380892 KB |
Output is correct |
70 |
Correct |
424 ms |
380876 KB |
Output is correct |
71 |
Correct |
400 ms |
378948 KB |
Output is correct |
72 |
Correct |
390 ms |
378868 KB |
Output is correct |
73 |
Correct |
374 ms |
380920 KB |
Output is correct |