Tuesday, March 10, 2015
LeetCode Best Time to Buy and Sell Stock IV
Add the quickSolve method to avoid the corner case. When k=100000000 and array is relative small.
public int maxProfit(int k, int[] prices) {
int len = prices.length;
if(len == 0) {
return 0;
}
if (k>=len/2) return quickSolve(prices);
int[][] local = new int[len][k+1]; // local[i][j]: max profit till i day, j transactions,
// where there is transaction happening on i day
int[][] global = new int[len][k+1]; // global[i][j]: max profit across i days, j transactions
for(int i=1; i<len; i++) {
int diff = prices[i] - prices[i-1];
for(int j=1; j<=k; j++) {
local[i][j] = Math.max(global[i-1][j-1]+Math.max(diff,0), local[i-1][j]+diff);
global[i][j] = Math.max(global[i-1][j], local[i][j]);
}
}
return global[len-1][k];
}
private int quickSolve(int[] prices) {
int len = prices.length, profit = 0;
for (int i = 1; i < len; i++)
// as long as there is a price gap, we gain a profit.
if (prices[i] > prices[i - 1]) profit += prices[i] - prices[i - 1];
return profit;
}
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