This question actually had 2 parts, and i got the first one right but cant seem to get the second one right with my same logic.

We call a number memorable if every digit in the number is either a 1 or adjacent to a 1. For example, the numbers 111, 81, 101, and 1771 are all memorable, but the numbers 12321, 786, 140, and 1999 are not memorable.

How many positive 2-digit numbers are memorable?

I got 18 for this and it was right because i literally wrote them down and counted them

How many positive 3-digit numbers are memorable?

I couldn't really do that for 3-digit numbers...

atlas9 Dec 19, 2019

#1**+2 **

a=1;b=0;c=0;p=0; cycle:d=a*100+b*10+c;if( b==1or b==1 and c==1 , goto loop, goto next); loop:printd,", ",;p=p+1; next:c++;if(c<10, goto cycle, 0);c=0;b++;if(b<10, goto cycle, 0);b=0;c=0;a++;if(a<10, goto cycle,0);print"Total = ",p

OUTPUT:

1 - There are 18 2-digit "memorable" integers.

2 - There are 99 3-digit "memorable" integers.

(10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 31, 41, 51, 61, 71, 81, 91,** 101**, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 121, 131, 141, 151, 161, 171, 181, 191, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919) = 117 such numbers.

Guest Dec 19, 2019

#1**+2 **

Best Answer

a=1;b=0;c=0;p=0; cycle:d=a*100+b*10+c;if( b==1or b==1 and c==1 , goto loop, goto next); loop:printd,", ",;p=p+1; next:c++;if(c<10, goto cycle, 0);c=0;b++;if(b<10, goto cycle, 0);b=0;c=0;a++;if(a<10, goto cycle,0);print"Total = ",p

OUTPUT:

1 - There are 18 2-digit "memorable" integers.

2 - There are 99 3-digit "memorable" integers.

(10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 31, 41, 51, 61, 71, 81, 91,** 101**, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 121, 131, 141, 151, 161, 171, 181, 191, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919) = 117 such numbers.

Guest Dec 19, 2019