|
| 1 | +1473\. Paint House III |
| 2 | + |
| 3 | +Hard |
| 4 | + |
| 5 | +There is a row of `m` houses in a small city, each house must be painted with one of the `n` colors (labeled from `1` to `n`), some houses that have been painted last summer should not be painted again. |
| 6 | + |
| 7 | +A neighborhood is a maximal group of continuous houses that are painted with the same color. |
| 8 | + |
| 9 | +* For example: `houses = [1,2,2,3,3,2,1,1]` contains `5` neighborhoods `[{1}, {2,2}, {3,3}, {2}, {1,1}]`. |
| 10 | + |
| 11 | +Given an array `houses`, an `m x n` matrix `cost` and an integer `target` where: |
| 12 | + |
| 13 | +* `houses[i]`: is the color of the house `i`, and `0` if the house is not painted yet. |
| 14 | +* `cost[i][j]`: is the cost of paint the house `i` with the color `j + 1`. |
| 15 | + |
| 16 | +Return _the minimum cost of painting all the remaining houses in such a way that there are exactly_ `target` _neighborhoods_. If it is not possible, return `-1`. |
| 17 | + |
| 18 | +**Example 1:** |
| 19 | + |
| 20 | +**Input:** houses = [0,0,0,0,0], cost = [[1,10],[10,1],[10,1],[1,10],[5,1]], m = 5, n = 2, target = 3 |
| 21 | + |
| 22 | +**Output:** 9 |
| 23 | + |
| 24 | +**Explanation:** Paint houses of this way [1,2,2,1,1] |
| 25 | + |
| 26 | +This array contains target = 3 neighborhoods, [{1}, {2,2}, {1,1}]. |
| 27 | + |
| 28 | +Cost of paint all houses (1 + 1 + 1 + 1 + 5) = 9. |
| 29 | + |
| 30 | +**Example 2:** |
| 31 | + |
| 32 | +**Input:** houses = [0,2,1,2,0], cost = [[1,10],[10,1],[10,1],[1,10],[5,1]], m = 5, n = 2, target = 3 |
| 33 | + |
| 34 | +**Output:** 11 |
| 35 | + |
| 36 | +**Explanation:** Some houses are already painted, Paint the houses of this way [2,2,1,2,2] |
| 37 | + |
| 38 | +This array contains target = 3 neighborhoods, [{2,2}, {1}, {2,2}]. |
| 39 | + |
| 40 | +Cost of paint the first and last house (10 + 1) = 11. |
| 41 | + |
| 42 | +**Example 3:** |
| 43 | + |
| 44 | +**Input:** houses = [3,1,2,3], cost = [[1,1,1],[1,1,1],[1,1,1],[1,1,1]], m = 4, n = 3, target = 3 |
| 45 | + |
| 46 | +**Output:** -1 |
| 47 | + |
| 48 | +**Explanation:** Houses are already painted with a total of 4 neighborhoods [{3},{1},{2},{3}] different of target = 3. |
| 49 | + |
| 50 | +**Constraints:** |
| 51 | + |
| 52 | +* `m == houses.length == cost.length` |
| 53 | +* `n == cost[i].length` |
| 54 | +* `1 <= m <= 100` |
| 55 | +* `1 <= n <= 20` |
| 56 | +* `1 <= target <= m` |
| 57 | +* `0 <= houses[i] <= n` |
| 58 | +* <code>1 <= cost[i][j] <= 10<sup>4</sup></code> |
0 commit comments