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JavaScript/Dynamic-Programming/CoinChange.js at master · TheAlgorithms/JavaScript · GitHub
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CoinChange.js
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JavaScript
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Dynamic-Programming
/
CoinChange.js
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/**
*
@params
{Array} coins
*
@params
{Number} amount
*/
export
const
change
=
(
coins
,
amount
)
=>
{
// Create and initialize the storage
const
combinations
=
new
Array
(
amount
+
1
)
.
fill
(
0
)
combinations
[
0
]
=
1
// Determine the direction of smallest sub-problem
for
(
let
i
=
0
;
i
<
coins
.
length
;
i
++
)
{
// Travel and fill the combinations array
for
(
let
j
=
coins
[
i
]
;
j
<
combinations
.
length
;
j
++
)
{
combinations
[
j
]
+=
combinations
[
j
-
coins
[
i
]
]
}
}
return
combinations
[
amount
]
}
/**
*
@params
{Array} coins
*
@params
{Number} amount
*/
export
const
coinChangeMin
=
(
coins
,
amount
)
=>
{
const
map
=
{
0
:
1
}
for
(
let
i
=
1
;
i
<=
amount
;
i
++
)
{
let
min
=
Infinity
for
(
const
coin
of
coins
)
{
if
(
i
<
coin
)
continue
min
=
Math
.
min
(
min
,
1
+
map
[
i
-
coin
]
)
}
map
[
i
]
=
min
}
return
map
[
amount
]
===
Infinity
?
-
1
:
map
[
amount
]
-
1
}
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