Update all new Tasks
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5697 changed files with 93386 additions and 804 deletions
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any =: +./
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all =: *./
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quickCheck =: [: all [: (any"1) 2 *./\ ] NB. a complete path requires connections between all row pairs
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percolate =: 15 15&$: : (dyad define) NB. returns 0 iff blocked Use: (N, M) percolate P
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NB. make a binary grid
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GRID =: y (> ?@($&0)) x
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NB. compute the return value
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if. -. quickCheck GRID do. 0 return. end.
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STARTING_SITES =. 0 ,. ({. GRID) # i. {: x NB. indexes of 1 in head row of GRID
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any STARTING_SITES check GRID
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)
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NB. use local copy of GRID. Too slow.
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check =: dyad define"1 2 NB. return 1 iff through path found use: START check GRID
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GRID =. y
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LOCATION =. x
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if. 0 (= #) LOCATION do. 0 return. end. NB. no starting point? 0
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if. LOCATION any@:((>: , 0 > [) $) GRID do. 0 return. end. NB. off grid? 0
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INDEX =. <LOCATION
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if. 1 ~: INDEX { GRID do. 0 return. end. NB. fail. either already looked here or non-path
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if. (>: {. LOCATION) = (# GRID) do. 1 return. end. NB. Success! (display GRID here)
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G =: GRID =. INDEX (>:@:{)`[`]}GRID
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any GRID check~ LOCATION +"1 (, -)0 1,:1 0
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)
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NB. use global GRID.
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check =: dyad define"1 2 NB. return 1 iff through path found use: START check GRID
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LOCATION =. x
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if. 0 (= #) LOCATION do. 0 return. end. NB. no starting point? 0
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if. LOCATION any@:((>: , 0 > [) $) GRID do. 0 return. end. NB. off grid? 0
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INDEX =. <LOCATION
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if. 1 ~: INDEX { GRID do. 0 return. end. NB. fail. either already looked here or non-path
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if. (>: {. LOCATION) = (# GRID) do. 1 return. end. NB. Success! (display GRID here)
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GRID =: INDEX (>:@:{)`[`]}GRID
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any GRID check~ LOCATION +"1 (, -)0 1,:1 0
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)
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simulate =: 100&$: : ([ %~ [: +/ [: percolate"0 #) NB. return fraction of connected cases. Use: T simulate P
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