/*
Sag Template by ParsaF(RBS Master)
*/
// Heaven
#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
//#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#pragma GCC target("sse4")
using namespace std;
#define TOF_IO ios_base::sync_with_stdio(false);cin.tie(0) , cout.tie(0);
#define File_IO(x,y) freopen(x, "r", stdin); freopen(y, "w", stdout);
#define SEP ' '
#define endl '\n'
#define F first
#define S second
#define ALL(x) (x).begin(), (x).end()
#define sz(x) (x).size()
#define PB push_back
#define MP(x, y) make_pair(x, y)
#define toLower(x) transform(ALL(x), x.begin(), ::tolower)
#define toUpper(x) transform(ALL(x), x.begin(), ::toupper)
#define EDGE(arr, x, y) arr[x].PB(y), arr[y].PB(x)
#define WEDGE(arr, x, y, z) arr[x].PB({y, z}), arr[y].PB({x, z})
#define debug(x) cerr << #x << ": " << x << endl
#define kill(x) cout << x << endl, exit(0);
#define BIPC(x) __builtin_popcount(x)
#define fD1(arr, ind, x) for(int i=0; i<ind; i++) arr[i] = x;
#define fD2(arr, ind1, ind2, x) for(int i=0; i<ind1; i++) for(int j=0; j<ind2; j++) arr[i][j] = x;
#define lc (id << 1)
#define rc ((id << 1) | 1)
#define isLeaf r - l == 1
typedef long long ll;
typedef long double lld;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const ll N = 4e2 + 10;
const ll MAXN = 1023;
const ll MT = 323 + 0;
const ll sq = 320;
const ll M = 1e9 + 7;
const ll IM = 1e9 + 9;
const ll LOG = 11;
const ll INF = 1e16 + 1;
const lld EPS = 0.0000001;
ll prime[] = {1000000009, 1000000007, 988244353, 1000696969, 696969569, 1223232323};
/*********************************************************** Dark side of Heaven ************************************************************/
/***************************************************************************************************************************************************/
ll POW(ll a, ll b, ll md);
ll LIS(vector<ll>& v);
ll MOD(ll a, ll b);
void YES(bool flag);
void Yes(bool flag);
inline ll mod_add(ll a, ll b);
inline ll mod_neg(ll a, ll b);
inline ll mod_mlt(ll a, ll b);
/*
ll factI[N + 1], Numi[N + 1], fact[N + 1];
void InverseofNumber(ll p); void InverseofFactorial(ll p); void factorial(ll p); ll nPr(ll N, ll R, ll p); ll nCr(ll N, ll R); void comb();
*/
ll n;
string s;
vector<ll> R, G, B;
ll dp[N][N][N][3];
ll AB(ll x)
{
if(x<0) return 0;
return x;
}
void solve()
{
cin >> n;
cin >> s;
s = "$" + s;
for(int i=1; i<=n; i++)
{
if(s[i] == 'R') R.PB(i);
if(s[i] == 'G') G.PB(i);
if(s[i] == 'Y') B.PB(i);
}
for(int i=0; i<=n; i++) for(int j=0; j<=n; j++) for(int k=0; k<=n; k++) for(int f=0; f<3; f++) dp[i][j][k][f] = INF;
dp[0][0][0][0] = 0;
dp[0][0][0][1] = 0;
dp[0][0][0][2] = 0;
for(int i=0; i<n; i++)
{
for(int r=0; r<=i; r++)
{
for(int g=0; g<=i-r; g++)
{
ll b = i-g-r;
if(sz(R) >= r+1) dp[r+1][g][b][0] = min(dp[r+1][g][b][0], min(dp[r][g][b][1], dp[r][g][b][2]) + AB(i+1-R[r]));
if(sz(G) >= g+1) dp[r][g+1][b][1] = min(dp[r][g+1][b][1], min(dp[r][g][b][0], dp[r][g][b][2]) + AB(i+1-G[g]));
if(sz(B) >= b+1) dp[r][g][b+1][2] = min(dp[r][g][b+1][2], min(dp[r][g][b][0], dp[r][g][b][1]) + AB(i+1-B[b]));
}
}
}
ll ans = min({dp[sz(R)][sz(G)][sz(B)][0], dp[sz(R)][sz(G)][sz(B)][1], dp[sz(R)][sz(G)][sz(B)][2]});
cout << (ans == INF? -1 : ans) << endl;
}
/*
*/
int main()
{
TOF_IO;
ll nTest=1;
//cin >> nTest;
while(nTest--) solve();
return 0;
}
/******************************************************** The line that separates heaven and hell *******************************************************/
// HELL
/*
void InverseofNumber(ll p = M){Numi[0] = Numi[1] = 1; for (ll i = 2; i <= N; i++){Numi[i] = Numi[p % i] * (p - p / i) % p;}}
void InverseofFactorial(ll p = M){factI[0] = factI[1] = 1;for (ll i = 2; i <= N; i++){factI[i] = (Numi[i] * factI[i - 1]) % p;}}
void factorial(ll p = M){fact[0] = 1;for (ll i = 1; i <= N; i++){fact[i] = (fact[i - 1] * i) % p;}}
ll nPr(ll N, ll R, ll p = M){if (N - R < 0 || R < 0) {return 0;}int ans = ((fact[N]) % p * factI[N - R]) % p;return ans;}
ll nCr(ll N, ll R){if (N - R < 0 || R < 0) {return 0;}int ans = ((fact[N] * factI[R]) % M * factI[N - R]) % M;return ans;}
void comb(){ll p = M;InverseofNumber(p);InverseofFactorial(p);factorial(p);}
*/
ll POW(ll a, ll b, ll md) {return (!b ? 1 : (b & 1 ? MOD(a * POW(MOD(a * a, md), b / 2, md), md) : MOD(POW(MOD(a * a, md), b / 2, md), md)));}
ll MOD(ll a, ll b){return (a%b + b) % b;}
ll LIS(vector<ll>& v){if (v.size() == 0) {return 0;} vector<ll> tail(v.size(), 0); ll length = 1; tail[0] = v[0]; for (int i = 1; i < v.size(); i++) {auto b = tail.begin(), e = tail.begin() + length; auto it = lower_bound(b, e, v[i]); if (it == tail.begin() + length){tail[length++] = v[i];}else{*it = v[i];}} return length;}
void YES(bool flag){cout << (flag? "YES\n" : "NO\n");}
void Yes(bool flag){cout << (flag? "Yes\n" : "No\n");}
inline ll mod_add(ll a, ll b){ ll res = a + b; return (res >= M? res - M : res); }
inline ll mod_neg(ll a, ll b){ ll res = (abs(a - b) < M? a - b : (a - b) % M); return (res < 0? res + M : res); }
inline ll mod_mlt(ll a, ll b){ return (a * b % M); }
Compilation message
joi2019_ho_t3.cpp: In function 'void solve()':
joi2019_ho_t3.cpp:131:26: warning: comparison of integer expressions of different signedness: 'std::vector<long long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
131 | if(sz(R) >= r+1) dp[r+1][g][b][0] = min(dp[r+1][g][b][0], min(dp[r][g][b][1], dp[r][g][b][2]) + AB(i+1-R[r]));
| ^
joi2019_ho_t3.cpp:132:26: warning: comparison of integer expressions of different signedness: 'std::vector<long long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
132 | if(sz(G) >= g+1) dp[r][g+1][b][1] = min(dp[r][g+1][b][1], min(dp[r][g][b][0], dp[r][g][b][2]) + AB(i+1-G[g]));
| ^
joi2019_ho_t3.cpp:133:26: warning: comparison of integer expressions of different signedness: 'std::vector<long long int>::size_type' {aka 'long unsigned int'} and 'll' {aka 'long long int'} [-Wsign-compare]
133 | if(sz(B) >= b+1) dp[r][g][b+1][2] = min(dp[r][g][b+1][2], min(dp[r][g][b][0], dp[r][g][b][1]) + AB(i+1-B[b]));
| ^
joi2019_ho_t3.cpp: In function 'll LIS(std::vector<long long int>&)':
joi2019_ho_t3.cpp:173:133: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
173 | ll LIS(vector<ll>& v){if (v.size() == 0) {return 0;} vector<ll> tail(v.size(), 0); ll length = 1; tail[0] = v[0]; for (int i = 1; i < v.size(); i++) {auto b = tail.begin(), e = tail.begin() + length; auto it = lower_bound(b, e, v[i]); if (it == tail.begin() + length){tail[length++] = v[i];}else{*it = v[i];}} return length;}
| ~~^~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2552 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
3 ms |
20824 KB |
Output is correct |
5 |
Correct |
6 ms |
33116 KB |
Output is correct |
6 |
Correct |
4 ms |
33116 KB |
Output is correct |
7 |
Correct |
4 ms |
33372 KB |
Output is correct |
8 |
Correct |
6 ms |
33116 KB |
Output is correct |
9 |
Correct |
4 ms |
33116 KB |
Output is correct |
10 |
Correct |
4 ms |
33116 KB |
Output is correct |
11 |
Incorrect |
4 ms |
33316 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2552 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
3 ms |
20824 KB |
Output is correct |
5 |
Correct |
6 ms |
33116 KB |
Output is correct |
6 |
Correct |
4 ms |
33116 KB |
Output is correct |
7 |
Correct |
4 ms |
33372 KB |
Output is correct |
8 |
Correct |
6 ms |
33116 KB |
Output is correct |
9 |
Correct |
4 ms |
33116 KB |
Output is correct |
10 |
Correct |
4 ms |
33116 KB |
Output is correct |
11 |
Incorrect |
4 ms |
33316 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
6492 KB |
Output is correct |
2 |
Execution timed out |
519 ms |
1048576 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2552 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
3 ms |
20824 KB |
Output is correct |
5 |
Correct |
6 ms |
33116 KB |
Output is correct |
6 |
Correct |
4 ms |
33116 KB |
Output is correct |
7 |
Correct |
4 ms |
33372 KB |
Output is correct |
8 |
Correct |
6 ms |
33116 KB |
Output is correct |
9 |
Correct |
4 ms |
33116 KB |
Output is correct |
10 |
Correct |
4 ms |
33116 KB |
Output is correct |
11 |
Incorrect |
4 ms |
33316 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |