#include <bits/stdc++.h>
using namespace std;
using lint = long long;
using pi = array<int, 2>;
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(), (v).end()
const int MAXN = 2050;
int n;
int f[MAXN][MAXN];
lint dp[12][MAXN][MAXN], aux[MAXN][MAXN];
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n;
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
cin >> f[i][j];
}
}
memset(dp, 0x3f, sizeof(dp));
for (int i = 0; i < n; i++)
dp[0][i][i] = 0;
int lev = 0;
while ((2 << lev) <= n)
lev++;
if (n <= 4) {
for (int i = 0; i < lev; i++) {
memset(aux, 0x3f, sizeof(aux));
for (int j = 0; j < n; j += (2 << i)) {
int s1 = j, e1 = j + (1 << i);
int s2 = j + (1 << i), e2 = j + (2 << i);
for (int k = s1; k < e1; k++) {
for (int x = s1; x < e1; x++) {
for (int y = s2; y < e2; y++) {
aux[k][y] = min(aux[k][y], dp[i][k][x] + f[x][y]);
}
}
}
for (int k = s1; k < e1; k++) {
for (int l = s2; l < e2; l++) {
for (int y = s2; y < e2; y++) {
dp[i + 1][k][l] = min(dp[i + 1][k][l], aux[k][y] + dp[i][y][l]);
}
}
}
for (int k = s1; k < e1; k++) {
for (int l = s2; l < e2; l++) {
dp[i + 1][l][k] = dp[i + 1][k][l];
}
}
}
}
lint ans = 1e18;
for (int i = 0; i < n; i++) {
for (int j = 0; j < i; j++) {
ans = min(ans, dp[lev][i][j]);
}
}
cout << ans << "\n";
return 0;
}
for (int i = 0; i < lev - 1; i++) {
memset(aux, 0x3f, sizeof(aux));
for (int j = 0; j < n; j += (2 << i)) {
int s1 = j, e1 = j + (1 << i);
int s2 = j + (1 << i), e2 = j + (2 << i);
for (int k = s1; k < e1; k++) {
for (int x = s1; x < e1; x++) {
for (int y = s2; y < e2; y++) {
aux[k][y] = min(aux[k][y], dp[i][k][x] + f[x][y]);
}
}
}
for (int k = s1; k < e1; k++) {
for (int l = s2; l < e2; l++) {
for (int y = s2; y < e2; y++) {
dp[i + 1][k][l] = min(dp[i + 1][k][l], aux[k][y] + dp[i][y][l]);
}
}
}
for (int k = s1; k < e1; k++) {
for (int l = s2; l < e2; l++) {
dp[i + 1][l][k] = dp[i + 1][k][l];
}
}
}
}
lint ans = 1e18;
vector<lint> L(n, 1e18), R(n, 1e18);
for (int i = 0; i < n / 2; i++) {
for (int j = 0; j < n / 2; j++) {
L[i] = min(L[i], dp[lev - 1][i][j]);
R[i + n / 2] = min(R[i + n / 2], dp[lev - 1][i + n / 2][j + n / 2]);
}
}
for (int i = 0; i < n / 2; i++) {
for (int j = n / 2; j < n; j++) {
ans = min(ans, L[i] + R[j] + f[i][j]);
}
}
cout << ans << "\n";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
142 ms |
427972 KB |
Output is correct |
2 |
Correct |
136 ms |
427952 KB |
Output is correct |
3 |
Correct |
134 ms |
427952 KB |
Output is correct |
4 |
Correct |
151 ms |
427980 KB |
Output is correct |
5 |
Correct |
134 ms |
428080 KB |
Output is correct |
6 |
Correct |
139 ms |
428012 KB |
Output is correct |
7 |
Correct |
144 ms |
427940 KB |
Output is correct |
8 |
Correct |
139 ms |
427960 KB |
Output is correct |
9 |
Correct |
154 ms |
427948 KB |
Output is correct |
10 |
Correct |
144 ms |
427980 KB |
Output is correct |
11 |
Correct |
146 ms |
427984 KB |
Output is correct |
12 |
Correct |
137 ms |
427980 KB |
Output is correct |
13 |
Correct |
146 ms |
427964 KB |
Output is correct |
14 |
Correct |
139 ms |
427968 KB |
Output is correct |
15 |
Correct |
144 ms |
427948 KB |
Output is correct |
16 |
Correct |
136 ms |
427940 KB |
Output is correct |
17 |
Correct |
135 ms |
428024 KB |
Output is correct |
18 |
Correct |
144 ms |
428032 KB |
Output is correct |
19 |
Correct |
137 ms |
427980 KB |
Output is correct |
20 |
Correct |
137 ms |
427972 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
142 ms |
427972 KB |
Output is correct |
2 |
Correct |
136 ms |
427952 KB |
Output is correct |
3 |
Correct |
134 ms |
427952 KB |
Output is correct |
4 |
Correct |
151 ms |
427980 KB |
Output is correct |
5 |
Correct |
134 ms |
428080 KB |
Output is correct |
6 |
Correct |
139 ms |
428012 KB |
Output is correct |
7 |
Correct |
144 ms |
427940 KB |
Output is correct |
8 |
Correct |
139 ms |
427960 KB |
Output is correct |
9 |
Correct |
154 ms |
427948 KB |
Output is correct |
10 |
Correct |
144 ms |
427980 KB |
Output is correct |
11 |
Correct |
146 ms |
427984 KB |
Output is correct |
12 |
Correct |
137 ms |
427980 KB |
Output is correct |
13 |
Correct |
146 ms |
427964 KB |
Output is correct |
14 |
Correct |
139 ms |
427968 KB |
Output is correct |
15 |
Correct |
144 ms |
427948 KB |
Output is correct |
16 |
Correct |
136 ms |
427940 KB |
Output is correct |
17 |
Correct |
135 ms |
428024 KB |
Output is correct |
18 |
Correct |
144 ms |
428032 KB |
Output is correct |
19 |
Correct |
137 ms |
427980 KB |
Output is correct |
20 |
Correct |
137 ms |
427972 KB |
Output is correct |
21 |
Correct |
146 ms |
428468 KB |
Output is correct |
22 |
Correct |
151 ms |
428484 KB |
Output is correct |
23 |
Correct |
144 ms |
428440 KB |
Output is correct |
24 |
Correct |
149 ms |
428176 KB |
Output is correct |
25 |
Correct |
141 ms |
428112 KB |
Output is correct |
26 |
Correct |
152 ms |
428584 KB |
Output is correct |
27 |
Correct |
154 ms |
428360 KB |
Output is correct |
28 |
Correct |
149 ms |
428452 KB |
Output is correct |
29 |
Correct |
145 ms |
428396 KB |
Output is correct |
30 |
Correct |
153 ms |
428416 KB |
Output is correct |
31 |
Correct |
145 ms |
428384 KB |
Output is correct |
32 |
Correct |
158 ms |
428376 KB |
Output is correct |
33 |
Correct |
147 ms |
428472 KB |
Output is correct |
34 |
Correct |
151 ms |
428372 KB |
Output is correct |
35 |
Correct |
147 ms |
428412 KB |
Output is correct |
36 |
Correct |
147 ms |
428464 KB |
Output is correct |
37 |
Correct |
146 ms |
428460 KB |
Output is correct |
38 |
Correct |
147 ms |
428372 KB |
Output is correct |
39 |
Correct |
143 ms |
428420 KB |
Output is correct |
40 |
Correct |
143 ms |
428412 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
142 ms |
427972 KB |
Output is correct |
2 |
Correct |
136 ms |
427952 KB |
Output is correct |
3 |
Correct |
134 ms |
427952 KB |
Output is correct |
4 |
Correct |
151 ms |
427980 KB |
Output is correct |
5 |
Correct |
134 ms |
428080 KB |
Output is correct |
6 |
Correct |
139 ms |
428012 KB |
Output is correct |
7 |
Correct |
144 ms |
427940 KB |
Output is correct |
8 |
Correct |
139 ms |
427960 KB |
Output is correct |
9 |
Correct |
154 ms |
427948 KB |
Output is correct |
10 |
Correct |
144 ms |
427980 KB |
Output is correct |
11 |
Correct |
146 ms |
427984 KB |
Output is correct |
12 |
Correct |
137 ms |
427980 KB |
Output is correct |
13 |
Correct |
146 ms |
427964 KB |
Output is correct |
14 |
Correct |
139 ms |
427968 KB |
Output is correct |
15 |
Correct |
144 ms |
427948 KB |
Output is correct |
16 |
Correct |
136 ms |
427940 KB |
Output is correct |
17 |
Correct |
135 ms |
428024 KB |
Output is correct |
18 |
Correct |
144 ms |
428032 KB |
Output is correct |
19 |
Correct |
137 ms |
427980 KB |
Output is correct |
20 |
Correct |
137 ms |
427972 KB |
Output is correct |
21 |
Correct |
146 ms |
428468 KB |
Output is correct |
22 |
Correct |
151 ms |
428484 KB |
Output is correct |
23 |
Correct |
144 ms |
428440 KB |
Output is correct |
24 |
Correct |
149 ms |
428176 KB |
Output is correct |
25 |
Correct |
141 ms |
428112 KB |
Output is correct |
26 |
Correct |
152 ms |
428584 KB |
Output is correct |
27 |
Correct |
154 ms |
428360 KB |
Output is correct |
28 |
Correct |
149 ms |
428452 KB |
Output is correct |
29 |
Correct |
145 ms |
428396 KB |
Output is correct |
30 |
Correct |
153 ms |
428416 KB |
Output is correct |
31 |
Correct |
145 ms |
428384 KB |
Output is correct |
32 |
Correct |
158 ms |
428376 KB |
Output is correct |
33 |
Correct |
147 ms |
428472 KB |
Output is correct |
34 |
Correct |
151 ms |
428372 KB |
Output is correct |
35 |
Correct |
147 ms |
428412 KB |
Output is correct |
36 |
Correct |
147 ms |
428464 KB |
Output is correct |
37 |
Correct |
146 ms |
428460 KB |
Output is correct |
38 |
Correct |
147 ms |
428372 KB |
Output is correct |
39 |
Correct |
143 ms |
428420 KB |
Output is correct |
40 |
Correct |
143 ms |
428412 KB |
Output is correct |
41 |
Correct |
183 ms |
430924 KB |
Output is correct |
42 |
Correct |
187 ms |
430948 KB |
Output is correct |
43 |
Correct |
183 ms |
430952 KB |
Output is correct |
44 |
Correct |
181 ms |
431028 KB |
Output is correct |
45 |
Correct |
183 ms |
431000 KB |
Output is correct |
46 |
Correct |
184 ms |
430924 KB |
Output is correct |
47 |
Correct |
191 ms |
431032 KB |
Output is correct |
48 |
Correct |
181 ms |
430960 KB |
Output is correct |
49 |
Correct |
182 ms |
430924 KB |
Output is correct |
50 |
Correct |
182 ms |
431028 KB |
Output is correct |
51 |
Correct |
177 ms |
431004 KB |
Output is correct |
52 |
Correct |
185 ms |
431032 KB |
Output is correct |
53 |
Correct |
183 ms |
430952 KB |
Output is correct |
54 |
Correct |
179 ms |
430924 KB |
Output is correct |
55 |
Correct |
178 ms |
430964 KB |
Output is correct |
56 |
Correct |
184 ms |
430924 KB |
Output is correct |
57 |
Correct |
183 ms |
431000 KB |
Output is correct |
58 |
Correct |
181 ms |
431036 KB |
Output is correct |
59 |
Correct |
182 ms |
431176 KB |
Output is correct |
60 |
Correct |
184 ms |
430960 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
142 ms |
427972 KB |
Output is correct |
2 |
Correct |
136 ms |
427952 KB |
Output is correct |
3 |
Correct |
134 ms |
427952 KB |
Output is correct |
4 |
Correct |
151 ms |
427980 KB |
Output is correct |
5 |
Correct |
134 ms |
428080 KB |
Output is correct |
6 |
Correct |
139 ms |
428012 KB |
Output is correct |
7 |
Correct |
144 ms |
427940 KB |
Output is correct |
8 |
Correct |
139 ms |
427960 KB |
Output is correct |
9 |
Correct |
154 ms |
427948 KB |
Output is correct |
10 |
Correct |
144 ms |
427980 KB |
Output is correct |
11 |
Correct |
146 ms |
427984 KB |
Output is correct |
12 |
Correct |
137 ms |
427980 KB |
Output is correct |
13 |
Correct |
146 ms |
427964 KB |
Output is correct |
14 |
Correct |
139 ms |
427968 KB |
Output is correct |
15 |
Correct |
144 ms |
427948 KB |
Output is correct |
16 |
Correct |
136 ms |
427940 KB |
Output is correct |
17 |
Correct |
135 ms |
428024 KB |
Output is correct |
18 |
Correct |
144 ms |
428032 KB |
Output is correct |
19 |
Correct |
137 ms |
427980 KB |
Output is correct |
20 |
Correct |
137 ms |
427972 KB |
Output is correct |
21 |
Correct |
146 ms |
428468 KB |
Output is correct |
22 |
Correct |
151 ms |
428484 KB |
Output is correct |
23 |
Correct |
144 ms |
428440 KB |
Output is correct |
24 |
Correct |
149 ms |
428176 KB |
Output is correct |
25 |
Correct |
141 ms |
428112 KB |
Output is correct |
26 |
Correct |
152 ms |
428584 KB |
Output is correct |
27 |
Correct |
154 ms |
428360 KB |
Output is correct |
28 |
Correct |
149 ms |
428452 KB |
Output is correct |
29 |
Correct |
145 ms |
428396 KB |
Output is correct |
30 |
Correct |
153 ms |
428416 KB |
Output is correct |
31 |
Correct |
145 ms |
428384 KB |
Output is correct |
32 |
Correct |
158 ms |
428376 KB |
Output is correct |
33 |
Correct |
147 ms |
428472 KB |
Output is correct |
34 |
Correct |
151 ms |
428372 KB |
Output is correct |
35 |
Correct |
147 ms |
428412 KB |
Output is correct |
36 |
Correct |
147 ms |
428464 KB |
Output is correct |
37 |
Correct |
146 ms |
428460 KB |
Output is correct |
38 |
Correct |
147 ms |
428372 KB |
Output is correct |
39 |
Correct |
143 ms |
428420 KB |
Output is correct |
40 |
Correct |
143 ms |
428412 KB |
Output is correct |
41 |
Correct |
183 ms |
430924 KB |
Output is correct |
42 |
Correct |
187 ms |
430948 KB |
Output is correct |
43 |
Correct |
183 ms |
430952 KB |
Output is correct |
44 |
Correct |
181 ms |
431028 KB |
Output is correct |
45 |
Correct |
183 ms |
431000 KB |
Output is correct |
46 |
Correct |
184 ms |
430924 KB |
Output is correct |
47 |
Correct |
191 ms |
431032 KB |
Output is correct |
48 |
Correct |
181 ms |
430960 KB |
Output is correct |
49 |
Correct |
182 ms |
430924 KB |
Output is correct |
50 |
Correct |
182 ms |
431028 KB |
Output is correct |
51 |
Correct |
177 ms |
431004 KB |
Output is correct |
52 |
Correct |
185 ms |
431032 KB |
Output is correct |
53 |
Correct |
183 ms |
430952 KB |
Output is correct |
54 |
Correct |
179 ms |
430924 KB |
Output is correct |
55 |
Correct |
178 ms |
430964 KB |
Output is correct |
56 |
Correct |
184 ms |
430924 KB |
Output is correct |
57 |
Correct |
183 ms |
431000 KB |
Output is correct |
58 |
Correct |
181 ms |
431036 KB |
Output is correct |
59 |
Correct |
182 ms |
431176 KB |
Output is correct |
60 |
Correct |
184 ms |
430960 KB |
Output is correct |
61 |
Correct |
1257 ms |
444388 KB |
Output is correct |
62 |
Correct |
1220 ms |
446080 KB |
Output is correct |
63 |
Correct |
1267 ms |
450508 KB |
Output is correct |
64 |
Correct |
1227 ms |
446040 KB |
Output is correct |
65 |
Correct |
1279 ms |
451168 KB |
Output is correct |
66 |
Correct |
1288 ms |
450592 KB |
Output is correct |
67 |
Correct |
1249 ms |
446540 KB |
Output is correct |
68 |
Correct |
1213 ms |
446520 KB |
Output is correct |
69 |
Correct |
1283 ms |
444388 KB |
Output is correct |
70 |
Correct |
1395 ms |
445460 KB |
Output is correct |
71 |
Correct |
1240 ms |
446372 KB |
Output is correct |
72 |
Correct |
1250 ms |
451504 KB |
Output is correct |
73 |
Correct |
1308 ms |
446612 KB |
Output is correct |
74 |
Correct |
1295 ms |
446788 KB |
Output is correct |
75 |
Correct |
1231 ms |
446872 KB |
Output is correct |
76 |
Correct |
1247 ms |
446840 KB |
Output is correct |
77 |
Correct |
1295 ms |
446752 KB |
Output is correct |
78 |
Correct |
1315 ms |
446664 KB |
Output is correct |
79 |
Correct |
1233 ms |
446640 KB |
Output is correct |
80 |
Correct |
1237 ms |
446524 KB |
Output is correct |