QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#524245 | #4235. Transparency | LittleCube | AC ✓ | 32ms | 4212kb | C++17 | 3.1kb | 2024-08-19 14:10:53 | 2024-08-19 14:10:53 |
Judging History
answer
#include <bits/stdc++.h>
#define ll long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define pl3 tuple<ll, ll, ll>
#define pdd pair<double, double>
#define F first
#define S second
#define all(x) x.begin(), x.end()
using namespace std;
// len[u][v]: we go from u to v, taking only lowercase characters, what is the shortest and the second shortest?
// dp[u][v][0/1][0/1]: we produce two indistunguishable, where they are 0: not yet or 1: already different, what is the smallest sum of length?
// at most 50 * 50 * 100, 1e6 suffices
const int INF = 1000'000;
int N, P, M, out[55][27], dp[55][55][4], ans = INF;
vector<int> E[55];
vector<int> len[55][55];
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0), cout.tie(0);
cin >> N >> P >> M;
for (int i = 1; i <= P; i++)
{
int j;
cin >> j;
out[j][26] = N + 1;
}
for (int i = 1; i <= M; i++)
{
int u, v;
char c;
cin >> u >> c >> v;
if (islower(c))
E[u].emplace_back(v);
else
out[u][c - 'A'] = v;
}
for (int i = 1; i <= N; i++)
{
len[i][i].emplace_back(0);
queue<pii> q;
q.emplace(i, 0);
while (!q.empty())
{
auto [j, d] = q.front();
q.pop();
for (auto k : E[j])
if (len[i][k].size() < 2)
{
len[i][k].emplace_back(d + 1);
q.emplace(k, d + 1);
}
}
for (int j = 1; j <= N; j++)
len[i][j].resize(2, INF);
}
priority_queue<array<int, 4>, vector<array<int, 4>>, greater<array<int, 4>>> pq;
for (int i = 1; i <= N + 1; i++)
for (int j = 1; j <= N + 1; j++)
for (int k = 0; k < 4; k++)
dp[i][j][k] = INF;
auto update = [&](int i, int j, int k, int d)
{
if (d < dp[i][j][k])
dp[i][j][k] = d, pq.push({dp[i][j][k], i, j, k});
};
update(1, 1, 0, 0);
while (!pq.empty())
{
auto [d, i, j, k] = pq.top();
pq.pop();
if (dp[i][j][k] < d || i > N || j > N)
continue;
// walk lowercase
if ((k & 1) == 0)
for (int x = 1; x <= N; x++)
for (int y = 1; y <= N; y++)
{
int inc = len[i][x][0] + len[j][y][0]; // possibly same
update(x, y, k ^ 1, d + inc);
inc = len[i][x][0] + len[j][y][i == j && x == y]; // guaranteed different
update(x, y, (k | 2) ^ 1, d + inc);
}
// walk uppercase
if ((k & 1) == 1)
for (int c = 0; c <= 26; c++)
if (out[i][c] && out[j][c])
{
int x = out[i][c], y = out[j][c];
update(x, y, k ^ 1, d + 2);
}
}
// AdydFAd
// FAF
if (dp[N + 1][N + 1][2] >= INF)
cout << -1 << '\n';
else
cout << dp[N + 1][N + 1][2] - 2 << '\n';
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3924kb
input:
4 1 8 3 1 F 1 1 A 2 2 b 1 2 F 3 2 d 3 3 B 3 3 y 4 4 d 1
output:
10
result:
ok single line: '10'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3668kb
input:
4 1 8 3 1 F 1 1 A 2 2 b 1 2 F 3 2 d 3 3 B 3 3 y 4 4 d 4
output:
-1
result:
ok single line: '-1'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3728kb
input:
5 2 5 1 5 1 i 2 2 c 3 3 p 4 4 c 1 1 I 5
output:
4
result:
ok single line: '4'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3728kb
input:
8 2 96 4 8 1 x 2 1 y 5 2 A 3 3 A 4 4 A 2 5 A 6 6 A 7 7 A 8 8 A 5 5 B 2 6 B 2 7 B 2 8 B 2 5 C 2 6 C 2 7 C 2 8 C 2 5 D 2 6 D 2 7 D 2 8 D 2 5 E 2 6 E 2 7 E 2 8 E 2 5 F 2 6 F 2 7 F 2 8 F 2 5 G 2 6 G 2 7 G 2 8 G 2 5 H 2 6 H 2 7 H 2 8 H 2 5 I 2 6 I 2 7 I 2 8 I 2 5 J 2 6 J 2 7 J 2 8 J 2 5 K 2 6 K 2 7 K 2 8...
output:
24
result:
ok single line: '24'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3696kb
input:
4 1 4 1 1 d 2 2 A 3 3 A 4 4 d 1
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
7 1 8 1 1 d 2 2 A 3 3 A 4 4 d 1 1 A 5 5 d 6 6 d 7 7 A 1
output:
8
result:
ok single line: '8'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3764kb
input:
1 1 1 1 1 a 1
output:
1
result:
ok single line: '1'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3732kb
input:
1 1 1 1 1 A 1
output:
-1
result:
ok single line: '-1'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3656kb
input:
2 1 2 2 1 a 2 1 b 2
output:
2
result:
ok single line: '2'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3760kb
input:
2 2 1 1 2 1 a 2
output:
1
result:
ok single line: '1'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3740kb
input:
4 2 3 3 4 1 A 2 2 a 3 2 b 4
output:
4
result:
ok single line: '4'
Test #12:
score: 0
Accepted
time: 3ms
memory: 3784kb
input:
50 1 149 50 1 A 2 2 B 3 3 C 4 4 D 5 5 E 6 6 F 7 7 G 8 8 H 9 9 I 10 10 J 11 11 K 12 12 L 13 13 M 14 14 N 15 15 O 16 16 P 17 17 Q 18 18 R 19 19 S 20 20 T 21 21 U 22 22 V 23 23 W 24 24 X 25 25 Y 26 26 Z 27 27 A 28 28 B 29 29 C 30 30 D 31 31 E 32 32 F 33 33 G 34 34 H 35 35 I 36 36 J 37 37 K 38 38 L 39 3...
output:
288
result:
ok single line: '288'
Test #13:
score: 0
Accepted
time: 13ms
memory: 3800kb
input:
50 1 500 50 1 A 2 1 Z 2 1 Y 2 1 X 2 1 W 2 1 V 2 1 U 2 1 T 2 1 S 2 1 R 2 2 B 3 2 A 3 2 Z 3 2 Y 3 2 X 3 2 W 3 2 V 3 2 U 3 2 T 3 2 S 3 3 C 4 3 B 4 3 A 4 3 Z 4 3 Y 4 3 X 4 3 W 4 3 V 4 3 U 4 3 T 4 4 D 5 4 C 5 4 B 5 4 A 5 4 Z 5 4 Y 5 4 X 5 4 W 5 4 V 5 4 U 5 5 E 6 5 D 6 5 C 6 5 B 6 5 A 6 5 Z 6 5 Y 6 5 X 6 ...
output:
533
result:
ok single line: '533'
Test #14:
score: 0
Accepted
time: 13ms
memory: 4048kb
input:
50 1 500 50 1 A 2 1 Z 2 1 Y 2 1 X 2 1 W 2 1 V 2 1 U 2 1 T 2 1 S 2 1 R 2 2 B 3 2 A 3 2 Z 3 2 Y 3 2 X 3 2 W 3 2 V 3 2 U 3 2 T 3 2 S 3 3 C 4 3 B 4 3 A 4 3 Z 4 3 Y 4 3 X 4 3 W 4 3 V 4 3 U 4 3 T 4 4 D 5 4 C 5 4 B 5 4 A 5 4 Z 5 4 Y 5 4 X 5 4 W 5 4 V 5 4 U 5 5 E 6 5 D 6 5 C 6 5 B 6 5 A 6 5 Z 6 5 Y 6 5 X 6 ...
output:
-1
result:
ok single line: '-1'
Test #15:
score: 0
Accepted
time: 11ms
memory: 3780kb
input:
50 2 67 2 26 1 x 3 1 w 27 2 Z 3 3 Z 4 4 Z 5 5 Z 6 6 Z 7 7 Z 8 8 Z 9 9 Z 10 10 Z 11 11 Z 12 12 Z 13 13 Z 14 14 Z 15 15 Z 16 16 Z 17 17 Z 18 18 Z 19 19 Z 20 20 Z 21 21 Z 22 22 Z 23 23 Z 24 24 Z 25 25 Z 2 26 Z 27 27 Z 28 28 Z 29 29 Z 30 30 Z 31 31 Z 32 32 Z 33 33 Z 34 34 Z 35 35 Z 36 36 Z 37 37 Z 38 38...
output:
1200
result:
ok single line: '1200'
Test #16:
score: 0
Accepted
time: 32ms
memory: 4024kb
input:
50 5 2600 12 10 36 19 9 1 A 6 1 B 12 1 C 2 1 D 35 1 E 12 1 F 50 1 G 46 1 H 13 1 I 30 1 J 24 1 K 39 1 L 21 1 M 23 1 N 46 1 O 41 1 P 5 1 Q 43 1 R 24 1 S 43 1 T 8 1 U 50 1 V 41 1 W 47 1 X 11 1 Y 4 1 Z 26 1 a 33 1 b 34 1 c 30 1 d 37 1 e 4 1 f 42 1 g 22 1 h 14 1 i 44 1 j 18 1 k 50 1 l 16 1 m 24 1 n 41 1 ...
output:
2
result:
ok single line: '2'
Test #17:
score: 0
Accepted
time: 6ms
memory: 3888kb
input:
50 20 2600 8 45 50 40 10 13 27 2 21 34 31 25 36 46 39 15 16 20 35 26 1 A 45 1 B 39 1 C 21 1 D 10 1 E 22 1 F 50 1 G 18 1 H 23 1 I 19 1 J 40 1 K 17 1 L 45 1 M 42 1 N 10 1 O 35 1 P 45 1 Q 7 1 R 6 1 S 19 1 T 40 1 U 21 1 V 39 1 W 17 1 X 30 1 Y 31 1 Z 26 1 a 18 1 b 49 1 c 18 1 d 18 1 e 29 1 f 18 1 g 49 1 ...
output:
-1
result:
ok single line: '-1'
Test #18:
score: 0
Accepted
time: 28ms
memory: 4212kb
input:
50 20 2600 8 45 50 40 10 13 27 2 21 34 31 25 36 46 39 15 16 20 35 26 1 A 45 1 B 39 1 C 21 1 D 10 1 E 22 1 F 50 1 G 18 1 H 23 1 I 19 1 J 40 1 K 17 1 L 45 1 M 42 1 N 10 1 O 35 1 P 45 1 Q 7 1 R 6 1 S 19 1 T 40 1 U 21 1 V 39 1 W 17 1 X 30 1 Y 31 1 Z 26 1 a 18 1 b 49 1 c 18 1 d 38 1 e 29 1 f 18 1 g 49 1 ...
output:
5
result:
ok single line: '5'
Test #19:
score: 0
Accepted
time: 0ms
memory: 3900kb
input:
9 2 15 6 3 1 A 2 1 f 3 2 c 4 2 H 6 2 b 5 3 G 1 4 H 4 4 e 7 4 D 1 5 d 8 5 L 3 7 F 9 8 F 9 9 H 6 9 p 1
output:
10
result:
ok single line: '10'
Test #20:
score: 0
Accepted
time: 1ms
memory: 3964kb
input:
7 3 62 5 6 7 1 A 2 2 a 5 2 b 3 2 c 4 3 a 4 3 b 4 3 c 4 3 d 4 3 e 4 3 f 4 3 g 4 3 h 4 3 i 4 3 j 4 3 k 4 3 l 4 3 m 4 3 n 4 3 o 4 3 p 4 3 q 4 3 r 4 3 s 4 3 t 4 3 u 4 3 v 4 3 w 4 3 x 4 3 y 4 3 z 4 4 a 3 4 b 3 4 c 3 4 d 3 4 e 3 4 f 3 4 g 3 4 h 3 4 i 3 4 j 3 4 k 3 4 l 3 4 m 3 4 n 3 4 o 3 4 p 3 4 q 3 4 r 3...
output:
-1
result:
ok single line: '-1'
Test #21:
score: 0
Accepted
time: 0ms
memory: 3744kb
input:
9 2 15 6 3 1 A 2 1 f 3 2 c 4 2 H 6 2 b 5 3 G 1 4 H 4 4 e 7 4 D 1 5 d 8 5 L 3 7 r 9 8 t 9 9 H 6 9 p 1
output:
7
result:
ok single line: '7'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
24 4 30 2 3 15 23 1 B 2 2 C 3 3 D 2 3 f 4 3 A 17 4 A 5 5 g 6 5 R 2 6 Z 7 6 N 5 7 b 8 8 g 9 9 r 10 10 h 11 10 S 10 11 T 12 12 r 13 13 K 14 14 m 15 15 L 16 16 G 1 17 x 18 18 f 19 19 Z 20 20 V 2 20 T 21 21 K 22 22 m 23 23 F 24 24 C 1
output:
23
result:
ok single line: '23'
Test #23:
score: 0
Accepted
time: 0ms
memory: 3892kb
input:
7 2 6 4 7 1 f 2 2 A 3 3 b 4 1 g 5 5 A 6 6 c 7
output:
6
result:
ok single line: '6'
Test #24:
score: 0
Accepted
time: 1ms
memory: 3812kb
input:
26 4 32 2 3 15 25 1 B 2 2 C 3 3 D 2 3 f 4 3 A 17 4 A 5 5 g 6 5 R 2 6 Z 7 6 N 5 7 b 8 8 g 9 9 r 10 10 h 11 10 S 10 11 T 12 12 r 13 13 K 14 14 m 15 15 L 16 16 G 1 17 x 18 18 f 19 19 Z 20 20 V 2 20 T 21 21 K 22 22 m 23 23 i 24 24 k 25 25 F 26 26 C 1
output:
25
result:
ok single line: '25'
Test #25:
score: 0
Accepted
time: 0ms
memory: 3720kb
input:
4 1 4 4 1 m 2 2 X 3 3 a 4 3 b 4
output:
6
result:
ok single line: '6'
Test #26:
score: 0
Accepted
time: 31ms
memory: 4024kb
input:
50 1 2600 1 1 A 35 1 B 18 1 C 24 1 D 43 1 E 9 1 F 50 1 G 5 1 H 9 1 I 6 1 J 6 1 K 26 1 L 37 1 M 48 1 N 29 1 O 18 1 P 21 1 Q 50 1 R 33 1 S 47 1 T 27 1 U 31 1 V 39 1 W 27 1 X 24 1 Y 44 1 Z 33 1 a 16 1 b 7 1 c 38 1 d 7 1 e 49 1 f 12 1 g 47 1 h 20 1 i 5 1 j 42 1 k 29 1 l 14 1 m 32 1 n 28 1 o 28 1 p 30 1 ...
output:
-1
result:
ok single line: '-1'