Given an array of integers cost
and an integer target
, return the maximum integer you can paint under the following rules:
- The cost of painting a digit
(i + 1)
is given bycost[i]
(0-indexed). - The total cost used must be equal to
target
. - The integer does not have
0
digits.
Since the answer may be very large, return it as a string. If there is no way to paint any integer given the condition, return "0"
.
Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5
Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12.
Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It is impossible to paint any integer with total cost equal to target.
cost.length == 9
1 <= cost[i], target <= 5000
implSolution{pubfnlargest_number(cost:Vec<i32>,target:i32) -> String{let target = target asusize;let cost = cost.iter().map(|&x| x asusize).collect::<Vec<_>>();letmut dp = vec![[-1;10]; target + 1]; dp[0] = [0;10];for i in0..=target {if dp[i][0] == -1{continue;}for j in0..9{letmut count = dp[i]; count[9 - j] += 1; count[0] += 1;if i + cost[j] <= target && dp[i + cost[j]] < count { dp[i + cost[j]] = count;}}}if dp[target][0] == -1{return"0".to_string();}(0..9).rev().map(|i| vec![std::char::from_u32(49 + i asu32).unwrap(); dp[target][9 - i]asusize]).flatten().collect()}}