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Commite6de3e3

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Create 1043-partition-array-for-maximum-sum.kt
1 parent755a89a commite6de3e3

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// Dp solution
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classSolution {
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funmaxSumAfterPartitioning(arr:IntArray,k:Int):Int {
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val n= arr.size
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val dp=IntArray (k)
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dp[0]= arr[0]
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for (iin1 until n) {
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var curMax=0
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var maxAtI=0
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for (jin i downTo (i- k+1)) {
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if (j<0)break
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curMax= maxOf(curMax, arr[j])
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val winLen= i- j+1
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val curSum= curMax* winLen
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val subArrSum=if (j>0) dp[(j-1)% k]else dp[k-1]
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maxAtI= maxOf(maxAtI, curSum+ subArrSum)
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}
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dp[i% k]= maxAtI
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}
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return dp[(n-1)% k]
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}
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}
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// recursion + memoization
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classSolution {
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funmaxSumAfterPartitioning(arr:IntArray,k:Int):Int {
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val n= arr.size
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val dp=IntArray (n) {-1 }
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fundfs(i:Int):Int {
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if (i== n)return0
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if (dp[i]!=-1)return dp[i]
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var curMax=0
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var res=0
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for (jin i until minOf(n, i+ k)) {
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curMax= maxOf(curMax, arr[j])
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val winLen= j- i+1
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res= maxOf(
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res,
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dfs(j+1)+ curMax* winLen
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)
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}
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dp[i]= res
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return res
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}
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return dfs(0)
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}
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}

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