Tribonacci StringsEasyTime Limit: 2, Memory Limit: 256000You must have solved the problem 'Tribonacci Numbers'. Now its time for Tribonacci strings.Given three strings T[1] = "p", T[2] = "q", T[3] = "r",String T[i] = T[i-1] + T[i-2] + T[i-3]Find the character at K'th index in string T[N] (assuming 1-indexing)Solve for Q independent queriesInputFirst line of input contains a single integer QQ lines follow, each containing two space separated numbers N and K1 <= Q <= 10^51 <= N <= 601 <= K <= 10^16OutputPrint Q lines, each containing the character at K-th index of string T[N].If K exceeds the length of string, print xExampleSample Input 1:36 26 86 12Sample Output 1:qpxExplanation:T[1] = pT[2] = qT[3] = rT[4] = rqpT[5] = rqprqT[6] = rqprqrqpr
Question
Tribonacci StringsEasyTime Limit: 2, Memory Limit: 256000You must have solved the problem 'Tribonacci Numbers'. Now its time for Tribonacci strings.Given three strings T[1] = "p", T[2] = "q", T[3] = "r",String T[i] = T[i-1] + T[i-2] + T[i-3]Find the character at K'th index in string T[N] (assuming 1-indexing)Solve for Q independent queriesInputFirst line of input contains a single integer QQ lines follow, each containing two space separated numbers N and K1 <= Q <= 10^51 <= N <= 601 <= K <= 10^16OutputPrint Q lines, each containing the character at K-th index of string T[N].If K exceeds the length of string, print xExampleSample Input 1:36 26 86 12Sample Output 1:qpxExplanation:T[1] = pT[2] = qT[3] = rT[4] = rqpT[5] = rqprqT[6] = rqprqrqpr
Solution
This problem is about generating a sequence of strings based on the Tribonacci sequence, where each string is the concatenation of the previous three strings. The task is to find the character at a specific position in a specific string in the sequence.
Here is a step-by-step guide on how to solve this problem:
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Initialize the first three strings as given in the problem: T[1] = "p", T[2] = "q", T[3] = "r".
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Generate the next strings in the sequence using the formula T[i] = T[i-1] + T[i-2] + T[i-3] until you reach T[N]. This can be done using a loop that starts from i = 4 and ends at i = N.
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Once you have the string T[N], find the character at the K'th index. If K is larger than the length of the string, print "x". Otherwise, print the character at that index.
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Repeat the above steps for each query.
Please note that this approach may not be efficient for large values of N and K due to the size of the strings that need to be generated and stored. A more efficient approach would be to calculate the lengths of the strings in the sequence without actually generating the strings, and use this information to determine the string and the position within that string where the K'th character will be. This would require a more complex algorithm and a good understanding of the properties of the Tribonacci sequence.
Similar Questions
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