Iltasanomien kertomaan matematiikan tehtävään on 128 vastausta:
1, 2, 6, 4, 7, 8, 3, 5, 9
1, 2, 6, 4, 7, 8, 5, 3, 9
1, 3, 2, 4, 5, 8, 7, 9, 6
1, 3, 2, 4, 5, 8, 9, 7, 6
1, 3, 2, 9, 5, 6, 4, 7, 8
1, 3, 2, 9, 5, 6, 7, 4, 8
1, 3, 4, 7, 6, 5, 2, 9, 8
1, 3, 4, 7, 6, 5, 9, 2, 8
1, 3, 6, 2, 7, 9, 4, 5, 8
1, 3, 6, 2, 7, 9, 5, 4, 8
1, 3, 9, 4, 7, 8, 2, 5, 6
1, 3, 9, 4, 7, 8, 5, 2, 6
1, 4, 8, 2, 7, 9, 3, 5, 6
1, 4, 8, 2, 7, 9, 5, 3, 6
1, 5, 2, 3, 4, 8, 7, 9, 6
1, 5, 2, 3, 4, 8, 9, 7, 6
1, 5, 2, 8, 4, 7, 3, 9, 6
1, 5, 2, 8, 4, 7, 9, 3, 6
1, 5, 3, 9, 4, 2, 7, 8, 6
1, 5, 3, 9, 4, 2, 8, 7, 6
1, 9, 6, 4, 5, 8, 3, 7, 2
1, 9, 6, 4, 5, 8, 7, 3, 2
1, 9, 6, 7, 5, 2, 3, 4, 8
1, 9, 6, 7, 5, 2, 4, 3, 8
2, 1, 4, 3, 7, 9, 5, 6, 8
2, 1, 4, 3, 7, 9, 6, 5, 8
2, 3, 6, 1, 7, 9, 4, 5, 8
2, 3, 6, 1, 7, 9, 5, 4, 8
2, 4, 8, 1, 7, 9, 3, 5, 6
2, 4, 8, 1, 7, 9, 5, 3, 6
2, 8, 6, 9, 4, 1, 5, 7, 3
2, 8, 6, 9, 4, 1, 7, 5, 3
2, 9, 6, 3, 5, 1, 4, 7, 8
2, 9, 6, 3, 5, 1, 7, 4, 8
3, 1, 4, 2, 7, 9, 5, 6, 8
3, 1, 4, 2, 7, 9, 6, 5, 8
3, 2, 1, 5, 4, 7, 8, 9, 6
3, 2, 1, 5, 4, 7, 9, 8, 6
3, 2, 4, 8, 5, 1, 7, 9, 6
3, 2, 4, 8, 5, 1, 9, 7, 6
3, 2, 8, 6, 5, 1, 7, 9, 4
3, 2, 8, 6, 5, 1, 9, 7, 4
3, 5, 2, 1, 4, 8, 7, 9, 6
3, 5, 2, 1, 4, 8, 9, 7, 6
3, 6, 4, 9, 5, 8, 1, 7, 2
3, 6, 4, 9, 5, 8, 7, 1, 2
3, 9, 2, 8, 1, 5, 6, 7, 4
3, 9, 2, 8, 1, 5, 7, 6, 4
3, 9, 6, 2, 5, 1, 4, 7, 8
3, 9, 6, 2, 5, 1, 7, 4, 8
4, 2, 6, 1, 7, 8, 3, 5, 9
4, 2, 6, 1, 7, 8, 5, 3, 9
4, 3, 2, 1, 5, 8, 7, 9, 6
4, 3, 2, 1, 5, 8, 9, 7, 6
4, 3, 9, 1, 7, 8, 2, 5, 6
4, 3, 9, 1, 7, 8, 5, 2, 6
4, 9, 6, 1, 5, 8, 3, 7, 2
4, 9, 6, 1, 5, 8, 7, 3, 2
5, 1, 2, 9, 6, 7, 3, 4, 8
5, 1, 2, 9, 6, 7, 4, 3, 8
5, 2, 1, 3, 4, 7, 8, 9, 6
5, 2, 1, 3, 4, 7, 9, 8, 6
5, 3, 1, 7, 2, 6, 8, 9, 4
5, 3, 1, 7, 2, 6, 9, 8, 4
5, 4, 1, 9, 2, 7, 3, 8, 6
5, 4, 1, 9, 2, 7, 8, 3, 6
5, 4, 8, 9, 6, 7, 1, 3, 2
5, 4, 8, 9, 6, 7, 3, 1, 2
5, 7, 2, 8, 3, 9, 1, 6, 4
5, 7, 2, 8, 3, 9, 6, 1, 4
5, 9, 3, 6, 2, 1, 7, 8, 4
5, 9, 3, 6, 2, 1, 8, 7, 4
6, 2, 8, 3, 5, 1, 7, 9, 4
6, 2, 8, 3, 5, 1, 9, 7, 4
6, 3, 1, 9, 2, 5, 7, 8, 4
6, 3, 1, 9, 2, 5, 8, 7, 4
6, 9, 3, 5, 2, 1, 7, 8, 4
6, 9, 3, 5, 2, 1, 8, 7, 4
7, 1, 4, 9, 6, 5, 2, 3, 8
7, 1, 4, 9, 6, 5, 3, 2, 8
7, 2, 8, 9, 6, 5, 1, 3, 4
7, 2, 8, 9, 6, 5, 3, 1, 4
7, 3, 1, 5, 2, 6, 8, 9, 4
7, 3, 1, 5, 2, 6, 9, 8, 4
7, 3, 2, 8, 5, 9, 1, 6, 4
7, 3, 2, 8, 5, 9, 6, 1, 4
7, 3, 4, 1, 6, 5, 2, 9, 8
7, 3, 4, 1, 6, 5, 9, 2, 8
7, 5, 2, 8, 4, 9, 1, 3, 6
7, 5, 2, 8, 4, 9, 3, 1, 6
7, 6, 4, 8, 5, 9, 1, 3, 2
7, 6, 4, 8, 5, 9, 3, 1, 2
7, 9, 6, 1, 5, 2, 3, 4, 8
7, 9, 6, 1, 5, 2, 4, 3, 8
8, 2, 4, 3, 5, 1, 7, 9, 6
8, 2, 4, 3, 5, 1, 9, 7, 6
8, 3, 2, 7, 5, 9, 1, 6, 4
8, 3, 2, 7, 5, 9, 6, 1, 4
8, 5, 2, 1, 4, 7, 3, 9, 6
8, 5, 2, 1, 4, 7, 9, 3, 6
8, 5, 2, 7, 4, 9, 1, 3, 6
8, 5, 2, 7, 4, 9, 3, 1, 6
8, 6, 4, 7, 5, 9, 1, 3, 2
8, 6, 4, 7, 5, 9, 3, 1, 2
8, 7, 2, 5, 3, 9, 1, 6, 4
8, 7, 2, 5, 3, 9, 6, 1, 4
8, 9, 2, 3, 1, 5, 6, 7, 4
8, 9, 2, 3, 1, 5, 7, 6, 4
9, 1, 2, 5, 6, 7, 3, 4, 8
9, 1, 2, 5, 6, 7, 4, 3, 8
9, 1, 4, 7, 6, 5, 2, 3, 8
9, 1, 4, 7, 6, 5, 3, 2, 8
9, 2, 8, 7, 6, 5, 1, 3, 4
9, 2, 8, 7, 6, 5, 3, 1, 4
9, 3, 1, 6, 2, 5, 7, 8, 4
9, 3, 1, 6, 2, 5, 8, 7, 4
9, 3, 2, 1, 5, 6, 4, 7, 8
9, 3, 2, 1, 5, 6, 7, 4, 8
9, 4, 1, 5, 2, 7, 3, 8, 6
9, 4, 1, 5, 2, 7, 8, 3, 6
9, 4, 8, 5, 6, 7, 1, 3, 2
9, 4, 8, 5, 6, 7, 3, 1, 2
9, 5, 3, 1, 4, 2, 7, 8, 6
9, 5, 3, 1, 4, 2, 8, 7, 6
9, 6, 4, 3, 5, 8, 1, 7, 2
9, 6, 4, 3, 5, 8, 7, 1, 2
9, 8, 6, 2, 4, 1, 5, 7, 3
9, 8, 6, 2, 4, 1, 7, 5, 3
1, 2, 6, 4, 7, 8, 3, 5, 9
1, 2, 6, 4, 7, 8, 5, 3, 9
1, 3, 2, 4, 5, 8, 7, 9, 6
1, 3, 2, 4, 5, 8, 9, 7, 6
1, 3, 2, 9, 5, 6, 4, 7, 8
1, 3, 2, 9, 5, 6, 7, 4, 8
1, 3, 4, 7, 6, 5, 2, 9, 8
1, 3, 4, 7, 6, 5, 9, 2, 8
1, 3, 6, 2, 7, 9, 4, 5, 8
1, 3, 6, 2, 7, 9, 5, 4, 8
1, 3, 9, 4, 7, 8, 2, 5, 6
1, 3, 9, 4, 7, 8, 5, 2, 6
1, 4, 8, 2, 7, 9, 3, 5, 6
1, 4, 8, 2, 7, 9, 5, 3, 6
1, 5, 2, 3, 4, 8, 7, 9, 6
1, 5, 2, 3, 4, 8, 9, 7, 6
1, 5, 2, 8, 4, 7, 3, 9, 6
1, 5, 2, 8, 4, 7, 9, 3, 6
1, 5, 3, 9, 4, 2, 7, 8, 6
1, 5, 3, 9, 4, 2, 8, 7, 6
1, 9, 6, 4, 5, 8, 3, 7, 2
1, 9, 6, 4, 5, 8, 7, 3, 2
1, 9, 6, 7, 5, 2, 3, 4, 8
1, 9, 6, 7, 5, 2, 4, 3, 8
2, 1, 4, 3, 7, 9, 5, 6, 8
2, 1, 4, 3, 7, 9, 6, 5, 8
2, 3, 6, 1, 7, 9, 4, 5, 8
2, 3, 6, 1, 7, 9, 5, 4, 8
2, 4, 8, 1, 7, 9, 3, 5, 6
2, 4, 8, 1, 7, 9, 5, 3, 6
2, 8, 6, 9, 4, 1, 5, 7, 3
2, 8, 6, 9, 4, 1, 7, 5, 3
2, 9, 6, 3, 5, 1, 4, 7, 8
2, 9, 6, 3, 5, 1, 7, 4, 8
3, 1, 4, 2, 7, 9, 5, 6, 8
3, 1, 4, 2, 7, 9, 6, 5, 8
3, 2, 1, 5, 4, 7, 8, 9, 6
3, 2, 1, 5, 4, 7, 9, 8, 6
3, 2, 4, 8, 5, 1, 7, 9, 6
3, 2, 4, 8, 5, 1, 9, 7, 6
3, 2, 8, 6, 5, 1, 7, 9, 4
3, 2, 8, 6, 5, 1, 9, 7, 4
3, 5, 2, 1, 4, 8, 7, 9, 6
3, 5, 2, 1, 4, 8, 9, 7, 6
3, 6, 4, 9, 5, 8, 1, 7, 2
3, 6, 4, 9, 5, 8, 7, 1, 2
3, 9, 2, 8, 1, 5, 6, 7, 4
3, 9, 2, 8, 1, 5, 7, 6, 4
3, 9, 6, 2, 5, 1, 4, 7, 8
3, 9, 6, 2, 5, 1, 7, 4, 8
4, 2, 6, 1, 7, 8, 3, 5, 9
4, 2, 6, 1, 7, 8, 5, 3, 9
4, 3, 2, 1, 5, 8, 7, 9, 6
4, 3, 2, 1, 5, 8, 9, 7, 6
4, 3, 9, 1, 7, 8, 2, 5, 6
4, 3, 9, 1, 7, 8, 5, 2, 6
4, 9, 6, 1, 5, 8, 3, 7, 2
4, 9, 6, 1, 5, 8, 7, 3, 2
5, 1, 2, 9, 6, 7, 3, 4, 8
5, 1, 2, 9, 6, 7, 4, 3, 8
5, 2, 1, 3, 4, 7, 8, 9, 6
5, 2, 1, 3, 4, 7, 9, 8, 6
5, 3, 1, 7, 2, 6, 8, 9, 4
5, 3, 1, 7, 2, 6, 9, 8, 4
5, 4, 1, 9, 2, 7, 3, 8, 6
5, 4, 1, 9, 2, 7, 8, 3, 6
5, 4, 8, 9, 6, 7, 1, 3, 2
5, 4, 8, 9, 6, 7, 3, 1, 2
5, 7, 2, 8, 3, 9, 1, 6, 4
5, 7, 2, 8, 3, 9, 6, 1, 4
5, 9, 3, 6, 2, 1, 7, 8, 4
5, 9, 3, 6, 2, 1, 8, 7, 4
6, 2, 8, 3, 5, 1, 7, 9, 4
6, 2, 8, 3, 5, 1, 9, 7, 4
6, 3, 1, 9, 2, 5, 7, 8, 4
6, 3, 1, 9, 2, 5, 8, 7, 4
6, 9, 3, 5, 2, 1, 7, 8, 4
6, 9, 3, 5, 2, 1, 8, 7, 4
7, 1, 4, 9, 6, 5, 2, 3, 8
7, 1, 4, 9, 6, 5, 3, 2, 8
7, 2, 8, 9, 6, 5, 1, 3, 4
7, 2, 8, 9, 6, 5, 3, 1, 4
7, 3, 1, 5, 2, 6, 8, 9, 4
7, 3, 1, 5, 2, 6, 9, 8, 4
7, 3, 2, 8, 5, 9, 1, 6, 4
7, 3, 2, 8, 5, 9, 6, 1, 4
7, 3, 4, 1, 6, 5, 2, 9, 8
7, 3, 4, 1, 6, 5, 9, 2, 8
7, 5, 2, 8, 4, 9, 1, 3, 6
7, 5, 2, 8, 4, 9, 3, 1, 6
7, 6, 4, 8, 5, 9, 1, 3, 2
7, 6, 4, 8, 5, 9, 3, 1, 2
7, 9, 6, 1, 5, 2, 3, 4, 8
7, 9, 6, 1, 5, 2, 4, 3, 8
8, 2, 4, 3, 5, 1, 7, 9, 6
8, 2, 4, 3, 5, 1, 9, 7, 6
8, 3, 2, 7, 5, 9, 1, 6, 4
8, 3, 2, 7, 5, 9, 6, 1, 4
8, 5, 2, 1, 4, 7, 3, 9, 6
8, 5, 2, 1, 4, 7, 9, 3, 6
8, 5, 2, 7, 4, 9, 1, 3, 6
8, 5, 2, 7, 4, 9, 3, 1, 6
8, 6, 4, 7, 5, 9, 1, 3, 2
8, 6, 4, 7, 5, 9, 3, 1, 2
8, 7, 2, 5, 3, 9, 1, 6, 4
8, 7, 2, 5, 3, 9, 6, 1, 4
8, 9, 2, 3, 1, 5, 6, 7, 4
8, 9, 2, 3, 1, 5, 7, 6, 4
9, 1, 2, 5, 6, 7, 3, 4, 8
9, 1, 2, 5, 6, 7, 4, 3, 8
9, 1, 4, 7, 6, 5, 2, 3, 8
9, 1, 4, 7, 6, 5, 3, 2, 8
9, 2, 8, 7, 6, 5, 1, 3, 4
9, 2, 8, 7, 6, 5, 3, 1, 4
9, 3, 1, 6, 2, 5, 7, 8, 4
9, 3, 1, 6, 2, 5, 8, 7, 4
9, 3, 2, 1, 5, 6, 4, 7, 8
9, 3, 2, 1, 5, 6, 7, 4, 8
9, 4, 1, 5, 2, 7, 3, 8, 6
9, 4, 1, 5, 2, 7, 8, 3, 6
9, 4, 8, 5, 6, 7, 1, 3, 2
9, 4, 8, 5, 6, 7, 3, 1, 2
9, 5, 3, 1, 4, 2, 7, 8, 6
9, 5, 3, 1, 4, 2, 8, 7, 6
9, 6, 4, 3, 5, 8, 1, 7, 2
9, 6, 4, 3, 5, 8, 7, 1, 2
9, 8, 6, 2, 4, 1, 5, 7, 3
9, 8, 6, 2, 4, 1, 7, 5, 3
Vastaukset 4
Vanhimmat
Kyse on siis tästä: http://www.iltasanomat.fi/tiede/art-1432184832623.html
Muuttujien kohdalle on sijoitettava numerot 1–9, niin että jokaista käytetään vain kerran.
a 13 · b / c d 12 · e − f − 11 g · h / i − 10
Vastaukseksi on saatava 66.
Vastaukset saatiin tällä JavaScript-koodilla:
function permutator(inputArr) {
var results = [];
function permute(arr, memo) {
var cur, memo = memo || [];
for (var i = 0; i < arr.length; i ) {
cur = arr.splice(i, 1);
if (arr.length === 0) {
results.push(memo.concat(cur));
}
permute(arr.slice(), memo.concat(cur));
arr.splice(i, 0, cur[0]);
}
return results;
}
return permute(inputArr);
}
var p = permutator([1, 2, 3, 4, 5, 6, 7, 8, 9]);
var n = 0;
p.forEach(function(k) {
var l = k[0] 13 * k[1] / k[2] k[3] 12 * k[4] - k[5] - 11 k[6] * k[7] / k[8] - 10;
if (l === 66) {
console.log(k);
n ;
}
});
console.log(n);
Minä olen sitä mieltä, että tehtävän tekijä on laskenut väärin ja tuossa on perusteluja:
http://keskustelu.suomi24.fi/t/13610738