Latest self Aptitude Question SOLUTION: 1,11,21,1211,111221,312211,...?

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(#M40001501) SELF question What is the next number in the following series? Keep an EYE

1,11,21,1211,111221,312211,...?

Solution

1
in previous number one time one so 11
in previous number 2 times one so 21
in previous number one time two and one time one so 1211
in previous number one time one, one time two and two times one so 111221
in previous number three times one, two times two and one time one so 312211
similarly in previous number one time three, one time one, two times two and two times one so 13112221

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Harini Reddy (13 years ago)

Solved Read Solution (2)

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Saikat Saha  (13 years ago)

11=in prev no number of 1 is 1.first 1 represent the total no of one in prev no and second one represent which number.
21=in 11 there are two 1.so 2=total one in 11 and 1=which no that is 1.
1211=in 21 there is one 2 and one 1 so 1(no of 2 in 21)21(no of 1 in 21)1
111221=1(no of one in 1211--concentrate on 1st 1,not the other)11(for 2nd 2 in 1211)2(second 2 of 1211)2(for last and second last 1 )1
312211=3(for 111 in 111221)...
ans>13112221..*****THIS PROBLEM LIKE HUFFMAN CODING******

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Nguyen Tuan Vu  (10 years ago)

Follow the right-to-left order, if the series contains a single number, then take it plus 10. 1 + 10 = 11
IF the series contains 2 identicals numbers which stand next to each other then combine both of them and plus 10: 11 + 10 = 21
Then 21 --> 2+10, 1 + 10 --> 1211
Similarly: 1 + 10, 2 + 10, 11 + 10 --> 111221

And the result is: 21113211

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