#include <bits/stdc++.h>
#define bp __builtin_popcountll
#define pb push_back
#define in(s) freopen(s, "r", stdin);
#define out(s) freopen(s, "w", stdout);
#define inout(s, end1, end2) freopen((string(s) + "." + end1).c_str(), "r", stdin),\
freopen((string(s) + "." + end2).c_str(), "w", stdout);
#define fi first
#define se second
#define bw(i, r, l) for (int i = r - 1; i >= l; i--)
#define fw(i, l, r) for (int i = l; i < r; i++)
#define fa(i, x) for (auto i: x)
using namespace std;
const int mod = 1e9 + 7, inf = 1061109567;
const long long infll = 4557430888798830399;
const int N = 405;
int n, dp[N][405][N][3], cntPrefix[N][3];
string s;
vector<int> reds, greens, yellows;
int getRealPosition(int ogPos, int prvRed, int prvGreen, int prvYellow) {
//prvRed - cntPrefix[ogPos][0] is the number of reds that are moved to before ogPos
int ans = 0;
ans += max(0, prvRed - cntPrefix[ogPos][0]);
ans += max(0, prvGreen - cntPrefix[ogPos][1]);
ans += max(0, prvYellow - cntPrefix[ogPos][2]);
return ogPos + ans + 1; //Difference between array indices and dp indices.
}
signed main() {
#ifdef BLU
in("blu.inp");
#endif
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin >> n >> s;
fw (i, 0, s.length()) {
if (s[i] == 'R') reds.pb(i);
else if (s[i] == 'G') greens.pb(i);
else yellows.pb(i);
}
//0: red, 1: green, 2: yellow
fw (i, 0, s.length()) {
fw (color, 0, 3) cntPrefix[i][color] = (i ? cntPrefix[i - 1][color] : 0);
if (s[i] == 'R') cntPrefix[i][0]++;
else if (s[i] == 'G') cntPrefix[i][1]++;
else cntPrefix[i][2]++;
}
fw (r, 0, n + 1) fw (g, 0, n + 1) fw (color, 0, 3) dp[1][r][g][color] = inf;
//dp(i, r, g, color): Minimal cost for the first i items, j reds and k greens, i - j - k yellows. The
//last leave is colored "color".
if (reds.size() > 0) dp[1][1][0][0] = reds[0];
if (greens.size() > 0) dp[1][0][1][1] = greens[0];
if (yellows.size() > 0) dp[1][0][0][2] = yellows[0];
fw (i, 2, n + 1) fw (r, 0, min((i + 1) / 2, (int)reds.size()) + 1) fw (g, 0, min(i - r, (int)greens.size()) + 1)
fw (color, 0, 3) {
// cout << "dp[" << i << "][" << r << "][" << g << "][" << color << "]\n";
dp[i][r][g][color] = inf;
if (color == 0 && r == 0) continue;
if (color == 1 && g == 0) continue;
if (color == 2 && i - r - g == 0) continue;
fw (prvColor, 0, 3) if (prvColor != color) {
int newr = r, newg = g;
if (color == 0) newr--;
if (color == 1) newg--;
if (newr < 0 || newg < 0) continue;
if (i - 1 - newr - newg < 0) continue;
if (newr > i / 2) continue;
// cout << "prv state = " << i - 1 << " " << newr << " " << newg << " " << prvColor << " dp = " << dp[i - 1][newr][newg][prvColor] << "\n";
dp[i][r][g][color] = min(dp[i][r][g][color], dp[i - 1][newr][newg][prvColor]);
}
if (dp[i][r][g][color] == inf) continue; //Non - valid state
int y = i - r - g;
if (y > yellows.size()) continue;
if (color == 0) {
dp[i][r][g][color] += getRealPosition(reds[r - 1], r - 1, g, y) - i;
} else if (color == 1) {
dp[i][r][g][color] += getRealPosition(greens[g - 1], r, g - 1, y) - i;
} else {
dp[i][r][g][color] += getRealPosition(yellows[y - 1], r, g, y - 1) - i;
}
}
// fw (i, 1, n + 1) fw (r, 0, n + 1) fw (g, 0, n + 1) fw (color, 0, 3) {
// cout << "dp[" << i << "][" << r << "][" << g << "][" << color << "] = " << dp[i][r][g][color] << "\n";
// }
if (reds.size() > (n + 1) / 2) {
cout << "-1";
return 0;
}
if (greens.size() > (n + 1) / 2) {
cout << "-1";
return 0;
}
if (yellows.size() > (n + 1) / 2) {
cout << "-1";
return 0;
}
int ans = inf;
fw (color, 0, 3) ans = min(ans, dp[n][reds.size()][greens.size()][color]);
if (ans == inf) cout << "-1";
else cout << ans;
return 0;
}
Compilation message
joi2019_ho_t3.cpp: In function 'int main()':
joi2019_ho_t3.cpp:11:39: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
#define fw(i, l, r) for (int i = l; i < r; i++)
joi2019_ho_t3.cpp:34:6:
fw (i, 0, s.length()) {
~~~~~~~~~~~~~~~~
joi2019_ho_t3.cpp:34:2: note: in expansion of macro 'fw'
fw (i, 0, s.length()) {
^~
joi2019_ho_t3.cpp:11:39: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
#define fw(i, l, r) for (int i = l; i < r; i++)
joi2019_ho_t3.cpp:40:6:
fw (i, 0, s.length()) {
~~~~~~~~~~~~~~~~
joi2019_ho_t3.cpp:40:2: note: in expansion of macro 'fw'
fw (i, 0, s.length()) {
^~
joi2019_ho_t3.cpp:71:9: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
if (y > yellows.size()) continue;
~~^~~~~~~~~~~~~~~~
joi2019_ho_t3.cpp:83:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
if (reds.size() > (n + 1) / 2) {
~~~~~~~~~~~~^~~~~~~~~~~~~
joi2019_ho_t3.cpp:87:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
if (greens.size() > (n + 1) / 2) {
~~~~~~~~~~~~~~^~~~~~~~~~~~~
joi2019_ho_t3.cpp:91:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
if (yellows.size() > (n + 1) / 2) {
~~~~~~~~~~~~~~~^~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
380 KB |
Output is correct |
4 |
Correct |
2 ms |
504 KB |
Output is correct |
5 |
Correct |
2 ms |
760 KB |
Output is correct |
6 |
Correct |
2 ms |
760 KB |
Output is correct |
7 |
Correct |
2 ms |
760 KB |
Output is correct |
8 |
Correct |
2 ms |
760 KB |
Output is correct |
9 |
Correct |
2 ms |
760 KB |
Output is correct |
10 |
Correct |
2 ms |
756 KB |
Output is correct |
11 |
Correct |
2 ms |
760 KB |
Output is correct |
12 |
Correct |
2 ms |
760 KB |
Output is correct |
13 |
Correct |
1 ms |
604 KB |
Output is correct |
14 |
Correct |
2 ms |
632 KB |
Output is correct |
15 |
Correct |
2 ms |
696 KB |
Output is correct |
16 |
Correct |
2 ms |
760 KB |
Output is correct |
17 |
Correct |
2 ms |
504 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
380 KB |
Output is correct |
4 |
Correct |
2 ms |
504 KB |
Output is correct |
5 |
Correct |
2 ms |
760 KB |
Output is correct |
6 |
Correct |
2 ms |
760 KB |
Output is correct |
7 |
Correct |
2 ms |
760 KB |
Output is correct |
8 |
Correct |
2 ms |
760 KB |
Output is correct |
9 |
Correct |
2 ms |
760 KB |
Output is correct |
10 |
Correct |
2 ms |
756 KB |
Output is correct |
11 |
Correct |
2 ms |
760 KB |
Output is correct |
12 |
Correct |
2 ms |
760 KB |
Output is correct |
13 |
Correct |
1 ms |
604 KB |
Output is correct |
14 |
Correct |
2 ms |
632 KB |
Output is correct |
15 |
Correct |
2 ms |
696 KB |
Output is correct |
16 |
Correct |
2 ms |
760 KB |
Output is correct |
17 |
Correct |
2 ms |
504 KB |
Output is correct |
18 |
Correct |
7 ms |
4820 KB |
Output is correct |
19 |
Correct |
4 ms |
4444 KB |
Output is correct |
20 |
Correct |
7 ms |
4856 KB |
Output is correct |
21 |
Correct |
7 ms |
4688 KB |
Output is correct |
22 |
Correct |
6 ms |
4728 KB |
Output is correct |
23 |
Correct |
6 ms |
4344 KB |
Output is correct |
24 |
Correct |
5 ms |
3320 KB |
Output is correct |
25 |
Correct |
6 ms |
5112 KB |
Output is correct |
26 |
Correct |
6 ms |
5112 KB |
Output is correct |
27 |
Correct |
6 ms |
4984 KB |
Output is correct |
28 |
Correct |
6 ms |
4728 KB |
Output is correct |
29 |
Correct |
6 ms |
4732 KB |
Output is correct |
30 |
Correct |
5 ms |
4216 KB |
Output is correct |
31 |
Correct |
6 ms |
4088 KB |
Output is correct |
32 |
Correct |
6 ms |
4344 KB |
Output is correct |
33 |
Correct |
8 ms |
4856 KB |
Output is correct |
34 |
Correct |
6 ms |
4728 KB |
Output is correct |
35 |
Correct |
7 ms |
4600 KB |
Output is correct |
36 |
Correct |
7 ms |
4472 KB |
Output is correct |
37 |
Correct |
5 ms |
3576 KB |
Output is correct |
38 |
Correct |
5 ms |
3960 KB |
Output is correct |
39 |
Correct |
6 ms |
4472 KB |
Output is correct |
40 |
Correct |
2 ms |
1012 KB |
Output is correct |
41 |
Correct |
5 ms |
3192 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
395 ms |
196204 KB |
Output is correct |
3 |
Correct |
415 ms |
195192 KB |
Output is correct |
4 |
Correct |
387 ms |
196212 KB |
Output is correct |
5 |
Correct |
383 ms |
196184 KB |
Output is correct |
6 |
Correct |
396 ms |
196064 KB |
Output is correct |
7 |
Correct |
381 ms |
195180 KB |
Output is correct |
8 |
Correct |
382 ms |
195320 KB |
Output is correct |
9 |
Correct |
381 ms |
194320 KB |
Output is correct |
10 |
Correct |
384 ms |
196152 KB |
Output is correct |
11 |
Correct |
383 ms |
196088 KB |
Output is correct |
12 |
Correct |
75 ms |
53368 KB |
Output is correct |
13 |
Correct |
149 ms |
93224 KB |
Output is correct |
14 |
Correct |
235 ms |
134268 KB |
Output is correct |
15 |
Correct |
383 ms |
196100 KB |
Output is correct |
16 |
Correct |
402 ms |
196128 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
380 KB |
Output is correct |
4 |
Correct |
2 ms |
504 KB |
Output is correct |
5 |
Correct |
2 ms |
760 KB |
Output is correct |
6 |
Correct |
2 ms |
760 KB |
Output is correct |
7 |
Correct |
2 ms |
760 KB |
Output is correct |
8 |
Correct |
2 ms |
760 KB |
Output is correct |
9 |
Correct |
2 ms |
760 KB |
Output is correct |
10 |
Correct |
2 ms |
756 KB |
Output is correct |
11 |
Correct |
2 ms |
760 KB |
Output is correct |
12 |
Correct |
2 ms |
760 KB |
Output is correct |
13 |
Correct |
1 ms |
604 KB |
Output is correct |
14 |
Correct |
2 ms |
632 KB |
Output is correct |
15 |
Correct |
2 ms |
696 KB |
Output is correct |
16 |
Correct |
2 ms |
760 KB |
Output is correct |
17 |
Correct |
2 ms |
504 KB |
Output is correct |
18 |
Correct |
7 ms |
4820 KB |
Output is correct |
19 |
Correct |
4 ms |
4444 KB |
Output is correct |
20 |
Correct |
7 ms |
4856 KB |
Output is correct |
21 |
Correct |
7 ms |
4688 KB |
Output is correct |
22 |
Correct |
6 ms |
4728 KB |
Output is correct |
23 |
Correct |
6 ms |
4344 KB |
Output is correct |
24 |
Correct |
5 ms |
3320 KB |
Output is correct |
25 |
Correct |
6 ms |
5112 KB |
Output is correct |
26 |
Correct |
6 ms |
5112 KB |
Output is correct |
27 |
Correct |
6 ms |
4984 KB |
Output is correct |
28 |
Correct |
6 ms |
4728 KB |
Output is correct |
29 |
Correct |
6 ms |
4732 KB |
Output is correct |
30 |
Correct |
5 ms |
4216 KB |
Output is correct |
31 |
Correct |
6 ms |
4088 KB |
Output is correct |
32 |
Correct |
6 ms |
4344 KB |
Output is correct |
33 |
Correct |
8 ms |
4856 KB |
Output is correct |
34 |
Correct |
6 ms |
4728 KB |
Output is correct |
35 |
Correct |
7 ms |
4600 KB |
Output is correct |
36 |
Correct |
7 ms |
4472 KB |
Output is correct |
37 |
Correct |
5 ms |
3576 KB |
Output is correct |
38 |
Correct |
5 ms |
3960 KB |
Output is correct |
39 |
Correct |
6 ms |
4472 KB |
Output is correct |
40 |
Correct |
2 ms |
1012 KB |
Output is correct |
41 |
Correct |
5 ms |
3192 KB |
Output is correct |
42 |
Correct |
2 ms |
376 KB |
Output is correct |
43 |
Correct |
395 ms |
196204 KB |
Output is correct |
44 |
Correct |
415 ms |
195192 KB |
Output is correct |
45 |
Correct |
387 ms |
196212 KB |
Output is correct |
46 |
Correct |
383 ms |
196184 KB |
Output is correct |
47 |
Correct |
396 ms |
196064 KB |
Output is correct |
48 |
Correct |
381 ms |
195180 KB |
Output is correct |
49 |
Correct |
382 ms |
195320 KB |
Output is correct |
50 |
Correct |
381 ms |
194320 KB |
Output is correct |
51 |
Correct |
384 ms |
196152 KB |
Output is correct |
52 |
Correct |
383 ms |
196088 KB |
Output is correct |
53 |
Correct |
75 ms |
53368 KB |
Output is correct |
54 |
Correct |
149 ms |
93224 KB |
Output is correct |
55 |
Correct |
235 ms |
134268 KB |
Output is correct |
56 |
Correct |
383 ms |
196100 KB |
Output is correct |
57 |
Correct |
402 ms |
196128 KB |
Output is correct |
58 |
Correct |
309 ms |
167556 KB |
Output is correct |
59 |
Correct |
317 ms |
180948 KB |
Output is correct |
60 |
Correct |
300 ms |
178496 KB |
Output is correct |
61 |
Correct |
292 ms |
173900 KB |
Output is correct |
62 |
Correct |
373 ms |
196188 KB |
Output is correct |
63 |
Correct |
386 ms |
196108 KB |
Output is correct |
64 |
Correct |
385 ms |
195232 KB |
Output is correct |
65 |
Correct |
357 ms |
187144 KB |
Output is correct |
66 |
Correct |
294 ms |
174384 KB |
Output is correct |
67 |
Correct |
281 ms |
159068 KB |
Output is correct |
68 |
Correct |
299 ms |
175736 KB |
Output is correct |
69 |
Correct |
294 ms |
176408 KB |
Output is correct |
70 |
Correct |
304 ms |
175736 KB |
Output is correct |
71 |
Correct |
296 ms |
183800 KB |
Output is correct |
72 |
Correct |
169 ms |
178448 KB |
Output is correct |
73 |
Correct |
18 ms |
13304 KB |
Output is correct |