Created
October 19, 2021 12:45
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private class SolutionDP1 { | |
// DP | |
public func splitArray(_ nums: [Int],_ m: Int) -> Int { | |
let n = nums.count | |
/** | |
``` | |
dp [n+1:2] | |
[ | |
min, max, max, .... | |
min, max, max, .... | |
] | |
sum [n+1:2] | |
[ | |
0, Σ0, Σ1, Σ2, ... , Σn] | |
``` | |
*/ | |
var dp: [[Int]] = Array(repeating: Array(repeating: .max, count: n+1), count: 2) | |
let sum: [Int] = { | |
var sum = Array(repeating: 0, count: n + 1) | |
for i in 0..<n { | |
sum[i + 1] = nums[i] + sum[i] | |
} | |
print(sum) | |
return sum | |
}() | |
dp[0][0] = -1 | |
dp[1][0] = -1 | |
/// 1...group | |
for i in 1...m { | |
/// 1...length | |
for j in 1...n { | |
var k = i - 1 | |
whileLoop:while true { | |
guard k < j else {break whileLoop} | |
let d = sum[j] - sum[k] | |
let t = dp[(i-1)&1][k] | |
dp[i&1][j] = min(dp[i&1][j], | |
max(t, d)) | |
k += 1 | |
} | |
} | |
} | |
return dp[m&1][n] | |
} | |
} |
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