You are in an infinite 2D grid where you can move in any of the 8 directions :
(x,y) to
(x+1, y),
(x - 1, y),
(x, y+1),
(x, y-1),
(x-1, y-1),
(x+1,y+1),
(x-1,y+1),
(x+1,y-1)
You are given a sequence of points and the order in which you need to cover the points. Give the minimum number of steps in which you can achieve it. You start from the first point.
Example :
Input : [(0, 0), (1, 1), (1, 2)]
Output : 2
It takes 1 step to move from (0, 0) to (1, 1). It takes one more step to move from (1, 1) to (1, 2).
Link - https://www.interviewbit.com/problems/min-steps-in-infinite-grid/
Please help me with solving this array problem (Min Steps in Infinite Grid)
Root / Programming Questions / [.]
millieCreated:
Here's a simple solution:
ACLS 'SETUP RESTORE @POINTS READ NUMBER DIM POINTS_XY[NUMBER*2] FOR I=0 TO NUMBER*2-1 READ POINTS_XY[I] NEXT 'OUTPUT ?MIN_STEPS(POINTS_XY) 'FUNCTION DEF MIN_STEPS(ARRAY_XY) VAR I,STEPS,LENGTH=LEN(ARRAY_XY)/2-1 FOR I=0 TO LENGTH-1 VAR DIST_X=ABS(ARRAY_XY[I*2 ]-ARRAY_XY[I*2+2]) VAR DIST_Y=ABS(ARRAY_XY[I*2+1]-ARRAY_XY[I*2+3]) INC STEPS,MAX(DIST_X,DIST_Y) NEXT RETURN STEPS END 'INPUT @POINTS DATA 3 'NUMBER OF POINTS DATA 0,0 DATA 1,1 DATA 1,2
Here's a simple solution:Thank you :)ACLS 'SETUP RESTORE @POINTS READ NUMBER DIM POINTS_XY[NUMBER*2] FOR I=0 TO NUMBER*2-1 READ POINTS_XY[I] NEXT 'OUTPUT ?MIN_STEPS(POINTS_XY) 'FUNCTION DEF MIN_STEPS(ARRAY_XY) VAR I,STEPS,LENGTH=LEN(ARRAY_XY)/2-1 FOR I=0 TO LENGTH-1 VAR DIST_X=ABS(ARRAY_XY[I*2 ]-ARRAY_XY[I*2+2]) VAR DIST_X=ABS(ARRAY_XY[I*2+1]-ARRAY_XY[I*2+3]) INC STEPS,MAX(DIST_X,DIST_Y) NEXT RETURN STEPS END 'INPUT @POINTS DATA 3 'NUMBER OF POINTS DATA 0,0 DATA 1,1 DATA 1,2
I believe this should work:
DIM TEST[3,2] COPY TEST,@POINTS ?STEPS(TEST) @POINTS DATA 0,0 DATA 1,1 DATA 1,2 DEF STEPS(POINTS[]) VAR SUM=0 VAR I FOR I=1 TO LEN(POINTS)/2-1 INC SUM,MAX(ABS(POINTS[I,0]-POINTS[I-1,0]),ABS(POINTS[I,1]-POINTS[I-1,1])) NEXT RETURN SUM ENDEDIT: I didn't look at Nathaniel's answer until after I posted this, and it turns out he did basically the same thing.