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September 16, 2018 02:52
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Median of 2 sorted array of different length
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public static double findMedian(int[] input1, int[] input2){ | |
if(input1.length>input2.length){ | |
return findMedian(input2,input1); | |
} | |
int x = input1.length; | |
int y = input2.length; | |
int low = 0; | |
int high = x; | |
while (low <= high){ | |
int partitionX = (low + high)/2; | |
int partitionY = (x+y+1)/2 - partitionX; | |
int maxLeftX = (partitionX==0) ? Integer.MIN_VALUE : input1[partitionX-1]; | |
int minRightX = (partitionX == x) ? Integer.MAX_VALUE : input1[partitionX]; | |
int maxLeftY = (partitionY==0) ? Integer.MIN_VALUE : input2[partitionY-1]; | |
int minRightY = (partitionY == y) ? Integer.MAX_VALUE : input2[partitionY]; | |
if(maxLeftX<=minRightY && maxLeftY<=minRightX){ | |
if((x+y)%2==0){ | |
return (double)(Math.max(maxLeftX,maxLeftY) + Math.min(minRightX,minRightY))/2; | |
}else{ | |
return (double)(Math.max(maxLeftX,maxLeftY)); | |
} | |
}else if(maxLeftX>minRightY){ | |
high = partitionX -1; | |
}else{ | |
low = partitionX + 1; | |
} | |
} | |
throw new IllegalArgumentException(); | |
} |
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