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115.distinct-subsequences.js
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52 lines (50 loc) · 1.43 KB
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/*
Involves dynamic programming
var numDistinct = function(S, T) {
if (S.length < T.length || T.length === 0 || S.length === 0) return 0;
else if (S == T) return 1;
else {
var zero = Array.apply(null, new Array(S.length)).map(Number.prototype.valueOf,0);
var previous = zero.slice();
var current = zero.slice();
for (var i=0; i < T.length; i++) {
var sum = 0;
for (var j=0; j < S.length; j++) {
if (T[i] === S[j]) {
current[j] = (i === 0 ? 1: sum);
}
sum += previous[j];
}
previous = current.slice();
current = zero.slice();
}
return previous.reduce(function(a,b) {return a+b});
}
};
*/
var numDistinct = function(S, T) {
if (S.length < T.length || T.length === 0 || S.length === 0) return 0;
else if (S == T) return 1;
else {
var zero = Array.apply(null, new Array(S.length)).map(
Number.prototype.valueOf,
0
);
var previous = zero.slice();
var current = zero.slice();
for (var i = 0; i < T.length; i++) {
var sum = 0;
for (var j = 0; j < S.length; j++) {
if (T[i] === S[j]) {
current[j] = i === 0 ? 1 : sum;
}
sum += previous[j];
}
previous = current.slice();
current = zero.slice();
}
return previous.reduce(function(a, b) {
return a + b;
});
}
};