Initial data commit

This commit is contained in:
Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 72d218235f
commit f23f22d71c
199087 changed files with 3378941 additions and 0 deletions

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var doors=[];
for (var i=0;i<100;i++)
doors[i]=false;
for (var i=1;i<=100;i++)
for (var i2=i-1;i2<100;i2+=i)
doors[i2]=!doors[i2];
for (var i=1;i<=100;i++)
console.log("Door %d is %s",i,doors[i-1]?"open":"closed")

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[1, 4, 9, 16, 25, 36, 49, 64, 81, 100]

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"use strict";
// Doors can be open or closed.
const open = "O";
const closed = "C";
// There are 100 doors in a row that are all initially closed.
const doorsCount = 100;
const doors = [];
for (let i = 0; i < doorsCount; doors[i] = closed, i++);
// You make 100 passes by the doors, visiting every door and toggle the door (if
// the door is closed, open it; if it is open, close it), according to the rules
// of the task.
for (let pass = 1; pass <= doorsCount; pass++)
for (let i = pass - 1; i < doorsCount; i += pass)
doors[i] = doors[i] == open ? closed : open;
// Answer the question: what state are the doors in after the last pass?
doors.forEach((v, i) =>
console.log(`Doors ${i + 1} are ${v == open ? 'opened' : 'closed'}.`));
// Which are open, which are closed?
let openKeyList = [];
let closedKeyList = [];
for (let door of doors.entries())
if (door[1] == open)
openKeyList.push(door[0] + 1);
else
closedKeyList.push(door[0] + 1);
console.log("These are open doors: " + openKeyList.join(", ") + ".");
console.log("These are closed doors: " + closedKeyList.join(", ") + ".");
// Assert:
const expected = [];
for (let i = 1; i * i <= doorsCount; expected.push(i * i), i++);
if (openKeyList.every((v, i) => v === expected[i]))
console.log("The task is solved.")
else
throw "These aren't the doors you're looking for.";

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(function (n) {
"use strict";
function finalDoors(n) {
var lstRange = range(1, n);
return lstRange
.reduce(function (a, _, k) {
var m = k + 1;
return a.map(function (x, i) {
var j = i + 1;
return [j, j % m ? x[1] : !x[1]];
});
}, zip(
lstRange,
replicate(n, false)
));
};
function zip(xs, ys) {
return xs.length === ys.length ? (
xs.map(function (x, i) {
return [x, ys[i]];
})
) : undefined;
}
function replicate(n, a) {
var v = [a],
o = [];
if (n < 1) return o;
while (n > 1) {
if (n & 1) o = o.concat(v);
n >>= 1;
v = v.concat(v);
}
return o.concat(v);
}
function range(m, n, delta) {
var d = delta || 1,
blnUp = n > m,
lng = Math.floor((blnUp ? n - m : m - n) / d) + 1,
a = Array(lng),
i = lng;
if (blnUp)
while (i--) a[i] = (d * i) + m;
else
while (i--) a[i] = m - (d * i);
return a;
}
return finalDoors(n)
.filter(function (tuple) {
return tuple[1];
})
.map(function (tuple) {
return {
door: tuple[0],
open: tuple[1]
};
});
})(100);

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for (var door = 1; door <= 100; door++) {
var sqrt = Math.sqrt(door);
if (sqrt === (sqrt | 0)) {
console.log("Door %d is open", door);
}
}

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for(var door=1;i<10/*Math.sqrt(100)*/;i++){
console.log("Door %d is open",i*i);
}

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(function (n) {
"use strict";
return range(1, 100)
.filter(function (x) {
return integerFactors(x)
.length % 2;
});
function integerFactors(n) {
var rRoot = Math.sqrt(n),
intRoot = Math.floor(rRoot),
lows = range(1, intRoot)
.filter(function (x) {
return (n % x) === 0;
});
return lows.concat(lows.map(function (x) {
return n / x;
})
.reverse()
.slice((rRoot === intRoot) | 0));
}
function range(m, n, delta) {
var d = delta || 1,
blnUp = n > m,
lng = Math.floor((blnUp ? n - m : m - n) / d) + 1,
a = Array(lng),
i = lng;
if (blnUp)
while (i--) a[i] = (d * i) + m;
else
while (i--) a[i] = m - (d * i);
return a;
}
})(100);

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(function (n) {
"use strict";
return perfectSquaresUpTo(100);
function perfectSquaresUpTo(n) {
return range(1, Math.floor(Math.sqrt(n)))
.map(function (x) {
return x * x;
});
}
function range(m, n, delta) {
var d = delta || 1,
blnUp = n > m,
lng = Math.floor((blnUp ? n - m : m - n) / d) + 1,
a = Array(lng),
i = lng;
if (blnUp)
while (i--) a[i] = (d * i) + m;
else
while (i--) a[i] = m - (d * i);
return a;
}
})(100);

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Array.apply(null, { length: 100 })
.map((v, i) => i + 1)
.forEach(door => {
var sqrt = Math.sqrt(door);
if (sqrt === (sqrt | 0)) {
console.log("Door %d is open", door);
}
});

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// Array comprehension style
[ for (i of Array.apply(null, { length: 100 })) i ].forEach((_, i) => {
var door = i + 1
var sqrt = Math.sqrt(door);
if (sqrt === (sqrt | 0)) {
console.log("Door %d is open", door);
}
});

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(function (n) {
// ONLY PERFECT SQUARES HAVE AN ODD NUMBER OF INTEGER FACTORS
// (Leaving the door open at the end of the process)
return perfectSquaresUpTo(n);
// perfectSquaresUpTo :: Int -> [Int]
function perfectSquaresUpTo(n) {
return range(1, Math.floor(Math.sqrt(n)))
.map(x => x * x);
}
// GENERIC
// range(intFrom, intTo, optional intStep)
// Int -> Int -> Maybe Int -> [Int]
function range(m, n, step) {
let d = (step || 1) * (n >= m ? 1 : -1);
return Array.from({
length: Math.floor((n - m) / d) + 1
}, (_, i) => m + (i * d));
}
})(100);