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Coins: Given an infinite number of quarters (25 cents), dimes (1 O cents), nickels (5 cents), and pennies (1 cent), write code to calculate the number of ways of representing n cents.
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<!DOCTYPE html> | |
<html> | |
<head> | |
<meta charset="utf-8"> | |
<meta name="viewport" content="width=device-width"> | |
<title>JS Bin</title> | |
</head> | |
<body> | |
<script id="jsbin-javascript"> | |
/* | |
Coins: Given an infinite number of quarters (25 cents), dimes (1 O cents), nickels (5 cents), and | |
pennies (1 cent), write code to calculate the number of ways of representing n cents. | |
*/ | |
var L = console.log; | |
var m = []; | |
function denominations(a, d, i) { | |
if(m[a] && m[a][i]) { | |
return m[a][i]; | |
} | |
if(i > d.length - 1) return 1; | |
console.log(a + ' ' + d[i] + ' ' + m); | |
var w = 0; | |
for(var k = 0; k * d[i] < a; k++) { | |
w += denominations(a - k * d[i], d, i+1); | |
} | |
m = m || []; | |
m[a] = m[a] || []; | |
m[a][i] = w; | |
return w; | |
} | |
L(denominations(100, [25, 10, 5, 1], 0)) | |
</script> | |
<script id="jsbin-source-javascript" type="text/javascript">/* | |
Coins: Given an infinite number of quarters (25 cents), dimes (1 O cents), nickels (5 cents), and | |
pennies (1 cent), write code to calculate the number of ways of representing n cents. | |
*/ | |
var L = console.log; | |
var m = []; | |
function denominations(a, d, i) { | |
if(m[a] && m[a][i]) { | |
return m[a][i]; | |
} | |
if(i > d.length - 1) return 1; | |
console.log(a + ' ' + d[i] + ' ' + m); | |
var w = 0; | |
for(var k = 0; k * d[i] < a; k++) { | |
w += denominations(a - k * d[i], d, i+1); | |
} | |
m = m || []; | |
m[a] = m[a] || []; | |
m[a][i] = w; | |
return w; | |
} | |
L(denominations(100, [25, 10, 5, 1], 0))</script></body> | |
</html> |
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
/* | |
Coins: Given an infinite number of quarters (25 cents), dimes (1 O cents), nickels (5 cents), and | |
pennies (1 cent), write code to calculate the number of ways of representing n cents. | |
*/ | |
var L = console.log; | |
var m = []; | |
function denominations(a, d, i) { | |
if(m[a] && m[a][i]) { | |
return m[a][i]; | |
} | |
if(i > d.length - 1) return 1; | |
console.log(a + ' ' + d[i] + ' ' + m); | |
var w = 0; | |
for(var k = 0; k * d[i] < a; k++) { | |
w += denominations(a - k * d[i], d, i+1); | |
} | |
m = m || []; | |
m[a] = m[a] || []; | |
m[a][i] = w; | |
return w; | |
} | |
L(denominations(100, [25, 10, 5, 1], 0)) |
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