I recently came across an interview question asked by Amazon and I am not able to find an optimized algorithm to solve this question:
You are given an input array wh
Here's my attempt in jQuery. It only scans to the right.
Working fiddle (with helpful logging)
var a = [1, 5, 3, 7, 2];
var water = 0;
$.each(a, function (key, i) {
if (i > a[key + 1]) { //if next tower to right is bigger
for (j = 1; j <= a.length - key; j++) { //number of remaining towers to the right
if (a[key+1 + j] >= i) { //if any tower to the right is bigger
for (k = 1; k < 1+j; k++) {
//add to water: the difference of the first tower and each tower between the first tower and its bigger tower
water += a[key] - a[key+k];
}
}
}
}
});
console.log("Water: "+water);