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| 1 | +#include <bits/stdc++.h> |
| 2 | + |
| 3 | +using namespace std; |
| 4 | + |
| 5 | +int n, m, k, a[101], p[101][101]; |
| 6 | +long long dp[101][105][101]; |
| 7 | + |
| 8 | +long long rec(int idx, int lst, int cur) { |
| 9 | + if(idx == n) { |
| 10 | + if(cur == k) |
| 11 | + return 0; |
| 12 | + return 2e14; |
| 13 | + } |
| 14 | + |
| 15 | + long long &ret = dp[idx][lst + 1][cur]; |
| 16 | + if(ret != -1) |
| 17 | + return ret; |
| 18 | + ret = 2e14; |
| 19 | + |
| 20 | + if(idx == 0) { |
| 21 | + if(a[idx] != -1) |
| 22 | + return ret = rec(idx + 1, a[idx], cur + 1); |
| 23 | + |
| 24 | + for(int i = 0; i < m; ++i) |
| 25 | + ret = min(ret, rec(idx + 1, i, cur + 1) + p[idx][i]); |
| 26 | + |
| 27 | + return ret; |
| 28 | + } |
| 29 | + |
| 30 | + if(a[idx] != -1) |
| 31 | + return ret = rec(idx + 1, a[idx], cur + (lst != a[idx])); |
| 32 | + |
| 33 | + for(int i = 0; i < m; ++i) |
| 34 | + ret = min(ret, rec(idx + 1, i, cur + (lst != i)) + p[idx][i]); |
| 35 | + |
| 36 | + return ret; |
| 37 | +} |
| 38 | + |
| 39 | +void build_path(int idx, int lst, int cur) { |
| 40 | + if(idx == n) { |
| 41 | + return; |
| 42 | + } |
| 43 | + |
| 44 | + long long opt = rec(idx, lst, cur); |
| 45 | + |
| 46 | + if(idx == 0) { |
| 47 | + if(a[idx] != -1) { |
| 48 | + build_path(idx + 1, a[idx], cur + 1); |
| 49 | + return; |
| 50 | + } |
| 51 | + |
| 52 | + for(int i = 0; i < m; ++i) { |
| 53 | + if(rec(idx + 1, i, cur + 1) + p[idx][i] == opt) { |
| 54 | + cout << i +1 << ' '; |
| 55 | + build_path(idx + 1, i, cur + 1); |
| 56 | + return; |
| 57 | + } |
| 58 | + } |
| 59 | + } |
| 60 | + |
| 61 | + if(a[idx] != -1) { |
| 62 | + cout << a[idx] + 1 << ' '; |
| 63 | + build_path(idx + 1, a[idx], cur + (lst != a[idx])); |
| 64 | + return; |
| 65 | + } |
| 66 | + |
| 67 | + for(int i = 0; i < m; ++i) { |
| 68 | + if(opt == rec(idx + 1, i, cur + (lst != i)) + p[idx][i]) { |
| 69 | + cout << i+ 1 << ' '; |
| 70 | + build_path(idx + 1, i, cur + (lst != i)); |
| 71 | + return; |
| 72 | + } |
| 73 | + } |
| 74 | +} |
| 75 | + |
| 76 | +int main() { |
| 77 | + cin >> n >> m >> k; |
| 78 | + int zeros = 0; |
| 79 | + for(int i = 0; i < n; ++i) { |
| 80 | + cin >> a[i]; |
| 81 | + zeros += (a[i] == 0); |
| 82 | + } |
| 83 | + |
| 84 | + for(int i = 0; i < n; ++i) |
| 85 | + for(int j = 0; j < m; ++j) |
| 86 | + cin >> p[i][j]; |
| 87 | + |
| 88 | + for(int i = 0; i < n; ++i) |
| 89 | + --a[i]; |
| 90 | + |
| 91 | + memset(dp, -1, sizeof dp); |
| 92 | + long long ans = rec(0, a[0], 0); |
| 93 | + |
| 94 | + if(ans >= 2e14) |
| 95 | + cout << -1 << endl; |
| 96 | + else |
| 97 | + cout << ans << endl; |
| 98 | + |
| 99 | + return 0; |
| 100 | +} |
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