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Still it will not work for very large number TestCases: 10,11,13,16,17 and 18. They exceed computational capacity of 53bit integers. Then, a special multiplication procedure will be needed in order to get the correct modulus without errors induced by those really really really really big numbers,,,,,

functionpSequences(n,p){// Write your code hereconstMOD=1000000000+7letroot=parseInt(Math.sqrt(p)),last=root*2-((root*(root+1)>p)?2:1),qtty=[],val=[],calc=[],i=0,j=last,accum=0,size=last+1while(accum<p)calc[j--]=(accum+=(val[i]=(qtty[i++]=(parseInt(p/parseInt(p/(accum+1)))-accum))))while(n-->=2){letnext=newArray(size)accum=0for(i=0,j=last;i<=last;i++,j--)next[j]=(accum=(accum+(val[i]=((qtty[i]*calc[i])%MOD)))%MOD)calc=next}returnaccum%MOD}

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## P-sequences

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The algorithm is correct

Still it will not work for very large number TestCases: 10,11,13,16,17 and 18. They exceed computational capacity of 53bit integers. Then, a special multiplication procedure will be needed in order to get the correct modulus without errors induced by those really really really really big numbers,,,,,