R.A.N.K.A.'s blog

Strings+dp
By R.A.N.K.A., history, 4 years ago, In English

Jamie is walking along a number line that starts at point 0 and ends at point n. She can move either one step to the left or one step to the right of her current location , with the exception that she cannot move left from point 0 or right from point n. In other words, if Jamie is standing at point i,she can move to either i-1 or i+1 as long as her destination exists in the inclusive range [0,n]. She has a string ,s , of movement instruction consisting of the letters 1 and r , where 1 is an instruction to move one step left and r is an instruction to move one step right. Jamie followed the instructions in s one by one and in order .For Example if s=‘rrlr’,she performs the following sequence of moves :one step right ->one step right ->one step left -> one step right .Jamie wants to move from point x to point y following some subsequence of string s instruction and wonders how many distinct possible subsequence of string s will get her from point x to point y. recall that a subsequence of a string is obtained by deleting zero or more characters from string .

it has four parameters A String , s giving a sequence of eduction using the characters l( i.e. move left one unit ) and r (i.e. move right one unit) An integer n, denoting the length of the number line. An integer x, denoting jamie’s starting point on the number line An integer y , denoting Jamie’s enidng point on the number line. The function must return an integer denoting the total number of distinct subsequence of string s that will lead Jamie from point x to point y as this value cab be quite large .

Sample Input rrlrlr 6 1 2

out put =7

r
rrl
rlr
lrr
rrlrl
rlrlr
rrllr
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4 years ago, # |
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Auto comment: topic has been updated by R.A.N.K.A. (previous revision, new revision, compare).

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4 years ago, # |
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If the constraints allow, you can do a knapsack-style dp considering r to be +1, and l to be -1, and also adding the boundary conditions.

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4 years ago, # |
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This Problem Can be solved using dp

here is my solution :-

Code
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    3 years ago, # ^ |
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    not working for string rrlrlr with n =6 and s=1 and e=4

    your solution is giving answer 4 but correct result is 3

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4 years ago, # |
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A simple DP would work.

Code
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