Count the contiguous submatrices
Migrated from chat
Given two non-empty non-negative integer matrices A and B, answer the number of times A occurs as a contiguous, possibly overlapping, submatrix in B.
Examples/Rules
0. There may not be any submatrices
A:[[3,1],
[1,4]]
B:[[1,4],
[3,1]]
Answer:0
1. Submatrices must be contiguous
A:[[1,4],
[3,1]]
B:[[3,1,4,0,5],
[6,3,1,0,4],
[5,6,3,0,1]]
Answer:1
(marked in bold)
2. Submatrices may overlap
A:[[1,4],
[3,1]]
B:[[3,1,4,5],
[6,3,1,4],
[5,6,3,1]]
Answer:2
(marked in bold and in italic respectively)
3. A (sub)matrix may be size 1-by-1 and up
A:[[3]]
B:[[3,1,4,5],
[6,3,1,4],
[5,6,3,1]]
Answer:3
(marked in bold)
4. Matrices may be any shape
A:[[3,1,3]]
[[3,1,3,1,3,1,3,1,3]]
Answer:4
(two bold, two italic)
code-golf array-manipulation matrix search
add a comment |
Migrated from chat
Given two non-empty non-negative integer matrices A and B, answer the number of times A occurs as a contiguous, possibly overlapping, submatrix in B.
Examples/Rules
0. There may not be any submatrices
A:[[3,1],
[1,4]]
B:[[1,4],
[3,1]]
Answer:0
1. Submatrices must be contiguous
A:[[1,4],
[3,1]]
B:[[3,1,4,0,5],
[6,3,1,0,4],
[5,6,3,0,1]]
Answer:1
(marked in bold)
2. Submatrices may overlap
A:[[1,4],
[3,1]]
B:[[3,1,4,5],
[6,3,1,4],
[5,6,3,1]]
Answer:2
(marked in bold and in italic respectively)
3. A (sub)matrix may be size 1-by-1 and up
A:[[3]]
B:[[3,1,4,5],
[6,3,1,4],
[5,6,3,1]]
Answer:3
(marked in bold)
4. Matrices may be any shape
A:[[3,1,3]]
[[3,1,3,1,3,1,3,1,3]]
Answer:4
(two bold, two italic)
code-golf array-manipulation matrix search
add a comment |
Migrated from chat
Given two non-empty non-negative integer matrices A and B, answer the number of times A occurs as a contiguous, possibly overlapping, submatrix in B.
Examples/Rules
0. There may not be any submatrices
A:[[3,1],
[1,4]]
B:[[1,4],
[3,1]]
Answer:0
1. Submatrices must be contiguous
A:[[1,4],
[3,1]]
B:[[3,1,4,0,5],
[6,3,1,0,4],
[5,6,3,0,1]]
Answer:1
(marked in bold)
2. Submatrices may overlap
A:[[1,4],
[3,1]]
B:[[3,1,4,5],
[6,3,1,4],
[5,6,3,1]]
Answer:2
(marked in bold and in italic respectively)
3. A (sub)matrix may be size 1-by-1 and up
A:[[3]]
B:[[3,1,4,5],
[6,3,1,4],
[5,6,3,1]]
Answer:3
(marked in bold)
4. Matrices may be any shape
A:[[3,1,3]]
[[3,1,3,1,3,1,3,1,3]]
Answer:4
(two bold, two italic)
code-golf array-manipulation matrix search
Migrated from chat
Given two non-empty non-negative integer matrices A and B, answer the number of times A occurs as a contiguous, possibly overlapping, submatrix in B.
Examples/Rules
0. There may not be any submatrices
A:[[3,1],
[1,4]]
B:[[1,4],
[3,1]]
Answer:0
1. Submatrices must be contiguous
A:[[1,4],
[3,1]]
B:[[3,1,4,0,5],
[6,3,1,0,4],
[5,6,3,0,1]]
Answer:1
(marked in bold)
2. Submatrices may overlap
A:[[1,4],
[3,1]]
B:[[3,1,4,5],
[6,3,1,4],
[5,6,3,1]]
Answer:2
(marked in bold and in italic respectively)
3. A (sub)matrix may be size 1-by-1 and up
A:[[3]]
B:[[3,1,4,5],
[6,3,1,4],
[5,6,3,1]]
Answer:3
(marked in bold)
4. Matrices may be any shape
A:[[3,1,3]]
[[3,1,3,1,3,1,3,1,3]]
Answer:4
(two bold, two italic)
code-golf array-manipulation matrix search
code-golf array-manipulation matrix search
edited Dec 31 '18 at 14:59
Adám
asked Dec 31 '18 at 11:50


AdámAdám
29k269192
29k269192
add a comment |
add a comment |
13 Answers
13
active
oldest
votes
Jelly, 7 bytes
ZẆ$⁺€Ẏċ
Try it online!
How it works
ZẆ$⁺€Ẏċ Main link. Arguments: B, A
$ Combine the two links to the left into a monadic chain.
Z Zip; transpose the matrix.
Ẇ Window; yield all contiguous subarrays of rows.
⁺ Duplicate the previous link chain.
€ Map it over the result of applying it to B.
This generates all contiguous submatrices of B, grouped by the selected
columns of B.
Ẏ Tighten; dump all generated submatrices in a single array.
ċ Count the occurrences of A.
add a comment |
Brachylog (v2), 10 bytes
{{ss}ᵈ}ᶜ
Try it online!
I like how clear and straightforward this program is in Brachylog; unfortunately, it's not that short byte-wise because the metapredicate syntax takes up three bytes and has to be used twice in this program.
Explanation
{{ss}ᵈ}ᶜ
s Contiguous subset of rows
s Contiguous subset of columns (i.e. transpose, subset rows, transpose)
{ }ᵈ The operation above transforms the first input to the second input
{ }ᶜ Count the number of ways in which this is possible
add a comment |
MATL, 12 bytes
ZyYC2MX:=XAs
Inputs are A, then B.
Try it online! Or verify all test cases.
Explanation
Consider inputs [1,4; 3 1]
, [3,1,4,5; 6,3,1,4; 5,6,3,1]
. The stack is shown with the most recent element below.
Zy % Implicit input: A. Push size as a vector of two numbers
% STACK: [2 2]
YC % Implicit input: B. Arrange sliding blocks of specified size as columns,
% in column-major order
% STACK: [3 6 1 3 4 1;
6 5 3 6 1 3;
1 3 4 1 5 4;
3 6 1 3 4 1]
2M % Push input to second to last function again; that is, A
% STACK: [3 6 1 3 4 1;
6 5 3 6 1 3;
1 3 4 1 5 4;
3 6 1 3 4 1],
[1 4;
3 1]
X: % Linearize to a column vector, in column-major order
% STACK: [3 6 1 3 4 1;
6 5 3 6 1 3;
1 3 4 1 5 4;
3 6 1 3 4 1],
[1;
3;
4;
1]
= % Test for equality, element-wise with broadcast
% STACK: [0 0 1 0 0 1
0 0 1 0 0 1;
0 0 1 0 0 1;
0 0 1 0 0 1]
XA % True for columns containing all true values
% STACK: [0 0 1 0 0 1]
s % Sum. Implicit display
% STACK: 2
add a comment |
05AB1E, 10 bytes
øŒεøŒI.¢}O
Try it online!
øŒεøŒI.¢}O Full program. Takes 2 matrices as input. First B, then A.
øŒ For each column of B, take all its sublists.
ε } And map a function through all those lists of sublists.
øŒ Transpose the list and again generate all its sublists.
This essentially computes all sub-matrices of B.
I.¢ In the current collection of sub-matrices, count the occurrences of A.
O At the end of the loop sum the results.
add a comment |
Dyalog APL, 6 4 bytes
≢∘⍸⍷
This is nearly a builtin (thanks H.PWiz and ngn).
⍷ Binary matrix containing locations of left argument in right argument
≢∘⍸ Size of the array of indices of 1s
Alternative non-builtin:
{+/,((*⍺)≡⊢)⌺(⍴⍺)*⍵}
Dyadic function that takes the big array on right and subarray on left.
*⍵ exp(⍵), to make ⍵ positive.
((*⍺)≡⊢)⌺(⍴⍺) Stencil;
all subarrays of ⍵ (plus some partial subarrays
containing 0, which we can ignore)
⍴⍺ of same shape as ⍺
(*⍺)≡⊢ processed by checking whether they're equal to exp(⍺).
Result is a matrix of 0/1.
, Flatten
+/ Sum.
Try it here.
You should checkout⍷
– H.PWiz
Jan 2 at 3:57
you can use compose (∘
) to shorten the train:+/∘∊⍷
or even≢∘⍸⍷
– ngn
Jan 2 at 15:16
add a comment |
JavaScript (ES6), 93 bytes
Takes input as (A)(B)
.
a=>b=>b.map((r,y)=>r.map((_,x)=>s+=!a.some((R,Y)=>R.some((v,X)=>v!=(b[y+Y]||0)[x+X]))),s=0)|s
Try it online!
add a comment |
R, 95 bytes
function(A,B,x=dim(A),D=dim(B)-x){for(i in 0:D)for(j in 0:D[2])F=F+all(B[1:x+i,1:x[2]+j]==A);F}
Try it online!
add a comment |
Clean, 118 97 95 bytes
import StdEnv,Data.List
?x=[transpose y\z<-tails x,y<-inits z]
$a b=sum[1\x<- ?b,y<- ?x|y==a]
Try it online!
add a comment |
Python 2, 101 bytes
lambda a,b:sum(a==[l[j:j+len(a[0])]for l in b[i:i+len(a)]]for i,L in e(b)for j,_ in e(L))
e=enumerate
Try it online!
add a comment |
Charcoal, 36 27 bytes
IΣ⭆η⭆ι⁼θE✂ηκ⁺Lθκ¹✂νμ⁺L§θ⁰μ¹
Try it online! Much shorter now that Equals works for arrays again. Explanation:
η Input array B
⭆ Mapped over rows and joined
ι Current row
⭆ Mapped over columns and joined
θ Input array A
⁼ Is equal to
η Input array B
✂ Sliced
¹ All elements from
κ Current row index to
L Length of
θ Input array A
⁺ Plus
κ Current row index
E Mapped over rows
ν Current inner row
✂ Sliced
¹ All elements from
μ Current column index to
L Length of
θ Input array A
§ Indexed by
⁰ Literal 0
⁺ Plus
μ Current column index
Σ Digital sum
I Cast to string
Implicitly printed
add a comment |
Python 2, 211 bytes
a,b=input()
l,w,L,W,c=len(a),len(a[0]),len(b),len(b[0]),0
for i in range(L):
for j in range(W):
if j<=W-w and i<=L-l:
if not sum([a[x][y]!=b[i+x][j+y]for x in range(l)for y in range(w)]):
c+=1
print c
Try it online!
Fairly straightforward. Step through the larger matrix, and check if the smaller matrix can fit.
The only even slightly tricky step is the list comprehension in the 6th line, which relies on Python's conventions for mixing Boolean and integer arithmetic.
add a comment |
Groovy, 109 bytes
{a,b->(0..<b.size()).sum{i->(0..<b[i].size()).count{j->k=i-1
a.every{l=j;k++
it.every{(b[k]?:b)[l++]==it}}}}}
Try it online!
add a comment |
Scala, 151 bytes
(a,b)=>{(0 to b.size-a.size).map(i=>(0 to b(0).size-a(0).size).count(j=>{var k=i-1
a.forall(c=>{var l=j-1;k+=1
c.forall(d=>{l+=1
b(k)(l)==d})})})).sum}
Try it online!
add a comment |
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13 Answers
13
active
oldest
votes
13 Answers
13
active
oldest
votes
active
oldest
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active
oldest
votes
Jelly, 7 bytes
ZẆ$⁺€Ẏċ
Try it online!
How it works
ZẆ$⁺€Ẏċ Main link. Arguments: B, A
$ Combine the two links to the left into a monadic chain.
Z Zip; transpose the matrix.
Ẇ Window; yield all contiguous subarrays of rows.
⁺ Duplicate the previous link chain.
€ Map it over the result of applying it to B.
This generates all contiguous submatrices of B, grouped by the selected
columns of B.
Ẏ Tighten; dump all generated submatrices in a single array.
ċ Count the occurrences of A.
add a comment |
Jelly, 7 bytes
ZẆ$⁺€Ẏċ
Try it online!
How it works
ZẆ$⁺€Ẏċ Main link. Arguments: B, A
$ Combine the two links to the left into a monadic chain.
Z Zip; transpose the matrix.
Ẇ Window; yield all contiguous subarrays of rows.
⁺ Duplicate the previous link chain.
€ Map it over the result of applying it to B.
This generates all contiguous submatrices of B, grouped by the selected
columns of B.
Ẏ Tighten; dump all generated submatrices in a single array.
ċ Count the occurrences of A.
add a comment |
Jelly, 7 bytes
ZẆ$⁺€Ẏċ
Try it online!
How it works
ZẆ$⁺€Ẏċ Main link. Arguments: B, A
$ Combine the two links to the left into a monadic chain.
Z Zip; transpose the matrix.
Ẇ Window; yield all contiguous subarrays of rows.
⁺ Duplicate the previous link chain.
€ Map it over the result of applying it to B.
This generates all contiguous submatrices of B, grouped by the selected
columns of B.
Ẏ Tighten; dump all generated submatrices in a single array.
ċ Count the occurrences of A.
Jelly, 7 bytes
ZẆ$⁺€Ẏċ
Try it online!
How it works
ZẆ$⁺€Ẏċ Main link. Arguments: B, A
$ Combine the two links to the left into a monadic chain.
Z Zip; transpose the matrix.
Ẇ Window; yield all contiguous subarrays of rows.
⁺ Duplicate the previous link chain.
€ Map it over the result of applying it to B.
This generates all contiguous submatrices of B, grouped by the selected
columns of B.
Ẏ Tighten; dump all generated submatrices in a single array.
ċ Count the occurrences of A.
edited Dec 31 '18 at 15:15
answered Dec 31 '18 at 13:10


Dennis♦Dennis
187k32297736
187k32297736
add a comment |
add a comment |
Brachylog (v2), 10 bytes
{{ss}ᵈ}ᶜ
Try it online!
I like how clear and straightforward this program is in Brachylog; unfortunately, it's not that short byte-wise because the metapredicate syntax takes up three bytes and has to be used twice in this program.
Explanation
{{ss}ᵈ}ᶜ
s Contiguous subset of rows
s Contiguous subset of columns (i.e. transpose, subset rows, transpose)
{ }ᵈ The operation above transforms the first input to the second input
{ }ᶜ Count the number of ways in which this is possible
add a comment |
Brachylog (v2), 10 bytes
{{ss}ᵈ}ᶜ
Try it online!
I like how clear and straightforward this program is in Brachylog; unfortunately, it's not that short byte-wise because the metapredicate syntax takes up three bytes and has to be used twice in this program.
Explanation
{{ss}ᵈ}ᶜ
s Contiguous subset of rows
s Contiguous subset of columns (i.e. transpose, subset rows, transpose)
{ }ᵈ The operation above transforms the first input to the second input
{ }ᶜ Count the number of ways in which this is possible
add a comment |
Brachylog (v2), 10 bytes
{{ss}ᵈ}ᶜ
Try it online!
I like how clear and straightforward this program is in Brachylog; unfortunately, it's not that short byte-wise because the metapredicate syntax takes up three bytes and has to be used twice in this program.
Explanation
{{ss}ᵈ}ᶜ
s Contiguous subset of rows
s Contiguous subset of columns (i.e. transpose, subset rows, transpose)
{ }ᵈ The operation above transforms the first input to the second input
{ }ᶜ Count the number of ways in which this is possible
Brachylog (v2), 10 bytes
{{ss}ᵈ}ᶜ
Try it online!
I like how clear and straightforward this program is in Brachylog; unfortunately, it's not that short byte-wise because the metapredicate syntax takes up three bytes and has to be used twice in this program.
Explanation
{{ss}ᵈ}ᶜ
s Contiguous subset of rows
s Contiguous subset of columns (i.e. transpose, subset rows, transpose)
{ }ᵈ The operation above transforms the first input to the second input
{ }ᶜ Count the number of ways in which this is possible
answered Dec 31 '18 at 16:27
community wiki
ais523
add a comment |
add a comment |
MATL, 12 bytes
ZyYC2MX:=XAs
Inputs are A, then B.
Try it online! Or verify all test cases.
Explanation
Consider inputs [1,4; 3 1]
, [3,1,4,5; 6,3,1,4; 5,6,3,1]
. The stack is shown with the most recent element below.
Zy % Implicit input: A. Push size as a vector of two numbers
% STACK: [2 2]
YC % Implicit input: B. Arrange sliding blocks of specified size as columns,
% in column-major order
% STACK: [3 6 1 3 4 1;
6 5 3 6 1 3;
1 3 4 1 5 4;
3 6 1 3 4 1]
2M % Push input to second to last function again; that is, A
% STACK: [3 6 1 3 4 1;
6 5 3 6 1 3;
1 3 4 1 5 4;
3 6 1 3 4 1],
[1 4;
3 1]
X: % Linearize to a column vector, in column-major order
% STACK: [3 6 1 3 4 1;
6 5 3 6 1 3;
1 3 4 1 5 4;
3 6 1 3 4 1],
[1;
3;
4;
1]
= % Test for equality, element-wise with broadcast
% STACK: [0 0 1 0 0 1
0 0 1 0 0 1;
0 0 1 0 0 1;
0 0 1 0 0 1]
XA % True for columns containing all true values
% STACK: [0 0 1 0 0 1]
s % Sum. Implicit display
% STACK: 2
add a comment |
MATL, 12 bytes
ZyYC2MX:=XAs
Inputs are A, then B.
Try it online! Or verify all test cases.
Explanation
Consider inputs [1,4; 3 1]
, [3,1,4,5; 6,3,1,4; 5,6,3,1]
. The stack is shown with the most recent element below.
Zy % Implicit input: A. Push size as a vector of two numbers
% STACK: [2 2]
YC % Implicit input: B. Arrange sliding blocks of specified size as columns,
% in column-major order
% STACK: [3 6 1 3 4 1;
6 5 3 6 1 3;
1 3 4 1 5 4;
3 6 1 3 4 1]
2M % Push input to second to last function again; that is, A
% STACK: [3 6 1 3 4 1;
6 5 3 6 1 3;
1 3 4 1 5 4;
3 6 1 3 4 1],
[1 4;
3 1]
X: % Linearize to a column vector, in column-major order
% STACK: [3 6 1 3 4 1;
6 5 3 6 1 3;
1 3 4 1 5 4;
3 6 1 3 4 1],
[1;
3;
4;
1]
= % Test for equality, element-wise with broadcast
% STACK: [0 0 1 0 0 1
0 0 1 0 0 1;
0 0 1 0 0 1;
0 0 1 0 0 1]
XA % True for columns containing all true values
% STACK: [0 0 1 0 0 1]
s % Sum. Implicit display
% STACK: 2
add a comment |
MATL, 12 bytes
ZyYC2MX:=XAs
Inputs are A, then B.
Try it online! Or verify all test cases.
Explanation
Consider inputs [1,4; 3 1]
, [3,1,4,5; 6,3,1,4; 5,6,3,1]
. The stack is shown with the most recent element below.
Zy % Implicit input: A. Push size as a vector of two numbers
% STACK: [2 2]
YC % Implicit input: B. Arrange sliding blocks of specified size as columns,
% in column-major order
% STACK: [3 6 1 3 4 1;
6 5 3 6 1 3;
1 3 4 1 5 4;
3 6 1 3 4 1]
2M % Push input to second to last function again; that is, A
% STACK: [3 6 1 3 4 1;
6 5 3 6 1 3;
1 3 4 1 5 4;
3 6 1 3 4 1],
[1 4;
3 1]
X: % Linearize to a column vector, in column-major order
% STACK: [3 6 1 3 4 1;
6 5 3 6 1 3;
1 3 4 1 5 4;
3 6 1 3 4 1],
[1;
3;
4;
1]
= % Test for equality, element-wise with broadcast
% STACK: [0 0 1 0 0 1
0 0 1 0 0 1;
0 0 1 0 0 1;
0 0 1 0 0 1]
XA % True for columns containing all true values
% STACK: [0 0 1 0 0 1]
s % Sum. Implicit display
% STACK: 2
MATL, 12 bytes
ZyYC2MX:=XAs
Inputs are A, then B.
Try it online! Or verify all test cases.
Explanation
Consider inputs [1,4; 3 1]
, [3,1,4,5; 6,3,1,4; 5,6,3,1]
. The stack is shown with the most recent element below.
Zy % Implicit input: A. Push size as a vector of two numbers
% STACK: [2 2]
YC % Implicit input: B. Arrange sliding blocks of specified size as columns,
% in column-major order
% STACK: [3 6 1 3 4 1;
6 5 3 6 1 3;
1 3 4 1 5 4;
3 6 1 3 4 1]
2M % Push input to second to last function again; that is, A
% STACK: [3 6 1 3 4 1;
6 5 3 6 1 3;
1 3 4 1 5 4;
3 6 1 3 4 1],
[1 4;
3 1]
X: % Linearize to a column vector, in column-major order
% STACK: [3 6 1 3 4 1;
6 5 3 6 1 3;
1 3 4 1 5 4;
3 6 1 3 4 1],
[1;
3;
4;
1]
= % Test for equality, element-wise with broadcast
% STACK: [0 0 1 0 0 1
0 0 1 0 0 1;
0 0 1 0 0 1;
0 0 1 0 0 1]
XA % True for columns containing all true values
% STACK: [0 0 1 0 0 1]
s % Sum. Implicit display
% STACK: 2
edited Dec 31 '18 at 12:45
answered Dec 31 '18 at 12:39


Luis MendoLuis Mendo
74k886291
74k886291
add a comment |
add a comment |
05AB1E, 10 bytes
øŒεøŒI.¢}O
Try it online!
øŒεøŒI.¢}O Full program. Takes 2 matrices as input. First B, then A.
øŒ For each column of B, take all its sublists.
ε } And map a function through all those lists of sublists.
øŒ Transpose the list and again generate all its sublists.
This essentially computes all sub-matrices of B.
I.¢ In the current collection of sub-matrices, count the occurrences of A.
O At the end of the loop sum the results.
add a comment |
05AB1E, 10 bytes
øŒεøŒI.¢}O
Try it online!
øŒεøŒI.¢}O Full program. Takes 2 matrices as input. First B, then A.
øŒ For each column of B, take all its sublists.
ε } And map a function through all those lists of sublists.
øŒ Transpose the list and again generate all its sublists.
This essentially computes all sub-matrices of B.
I.¢ In the current collection of sub-matrices, count the occurrences of A.
O At the end of the loop sum the results.
add a comment |
05AB1E, 10 bytes
øŒεøŒI.¢}O
Try it online!
øŒεøŒI.¢}O Full program. Takes 2 matrices as input. First B, then A.
øŒ For each column of B, take all its sublists.
ε } And map a function through all those lists of sublists.
øŒ Transpose the list and again generate all its sublists.
This essentially computes all sub-matrices of B.
I.¢ In the current collection of sub-matrices, count the occurrences of A.
O At the end of the loop sum the results.
05AB1E, 10 bytes
øŒεøŒI.¢}O
Try it online!
øŒεøŒI.¢}O Full program. Takes 2 matrices as input. First B, then A.
øŒ For each column of B, take all its sublists.
ε } And map a function through all those lists of sublists.
øŒ Transpose the list and again generate all its sublists.
This essentially computes all sub-matrices of B.
I.¢ In the current collection of sub-matrices, count the occurrences of A.
O At the end of the loop sum the results.
edited Dec 31 '18 at 14:22
answered Dec 31 '18 at 14:17


Mr. XcoderMr. Xcoder
31.7k759198
31.7k759198
add a comment |
add a comment |
Dyalog APL, 6 4 bytes
≢∘⍸⍷
This is nearly a builtin (thanks H.PWiz and ngn).
⍷ Binary matrix containing locations of left argument in right argument
≢∘⍸ Size of the array of indices of 1s
Alternative non-builtin:
{+/,((*⍺)≡⊢)⌺(⍴⍺)*⍵}
Dyadic function that takes the big array on right and subarray on left.
*⍵ exp(⍵), to make ⍵ positive.
((*⍺)≡⊢)⌺(⍴⍺) Stencil;
all subarrays of ⍵ (plus some partial subarrays
containing 0, which we can ignore)
⍴⍺ of same shape as ⍺
(*⍺)≡⊢ processed by checking whether they're equal to exp(⍺).
Result is a matrix of 0/1.
, Flatten
+/ Sum.
Try it here.
You should checkout⍷
– H.PWiz
Jan 2 at 3:57
you can use compose (∘
) to shorten the train:+/∘∊⍷
or even≢∘⍸⍷
– ngn
Jan 2 at 15:16
add a comment |
Dyalog APL, 6 4 bytes
≢∘⍸⍷
This is nearly a builtin (thanks H.PWiz and ngn).
⍷ Binary matrix containing locations of left argument in right argument
≢∘⍸ Size of the array of indices of 1s
Alternative non-builtin:
{+/,((*⍺)≡⊢)⌺(⍴⍺)*⍵}
Dyadic function that takes the big array on right and subarray on left.
*⍵ exp(⍵), to make ⍵ positive.
((*⍺)≡⊢)⌺(⍴⍺) Stencil;
all subarrays of ⍵ (plus some partial subarrays
containing 0, which we can ignore)
⍴⍺ of same shape as ⍺
(*⍺)≡⊢ processed by checking whether they're equal to exp(⍺).
Result is a matrix of 0/1.
, Flatten
+/ Sum.
Try it here.
You should checkout⍷
– H.PWiz
Jan 2 at 3:57
you can use compose (∘
) to shorten the train:+/∘∊⍷
or even≢∘⍸⍷
– ngn
Jan 2 at 15:16
add a comment |
Dyalog APL, 6 4 bytes
≢∘⍸⍷
This is nearly a builtin (thanks H.PWiz and ngn).
⍷ Binary matrix containing locations of left argument in right argument
≢∘⍸ Size of the array of indices of 1s
Alternative non-builtin:
{+/,((*⍺)≡⊢)⌺(⍴⍺)*⍵}
Dyadic function that takes the big array on right and subarray on left.
*⍵ exp(⍵), to make ⍵ positive.
((*⍺)≡⊢)⌺(⍴⍺) Stencil;
all subarrays of ⍵ (plus some partial subarrays
containing 0, which we can ignore)
⍴⍺ of same shape as ⍺
(*⍺)≡⊢ processed by checking whether they're equal to exp(⍺).
Result is a matrix of 0/1.
, Flatten
+/ Sum.
Try it here.
Dyalog APL, 6 4 bytes
≢∘⍸⍷
This is nearly a builtin (thanks H.PWiz and ngn).
⍷ Binary matrix containing locations of left argument in right argument
≢∘⍸ Size of the array of indices of 1s
Alternative non-builtin:
{+/,((*⍺)≡⊢)⌺(⍴⍺)*⍵}
Dyadic function that takes the big array on right and subarray on left.
*⍵ exp(⍵), to make ⍵ positive.
((*⍺)≡⊢)⌺(⍴⍺) Stencil;
all subarrays of ⍵ (plus some partial subarrays
containing 0, which we can ignore)
⍴⍺ of same shape as ⍺
(*⍺)≡⊢ processed by checking whether they're equal to exp(⍺).
Result is a matrix of 0/1.
, Flatten
+/ Sum.
Try it here.
edited Jan 3 at 3:36
answered Jan 2 at 2:20


lirtosiastlirtosiast
15.8k436107
15.8k436107
You should checkout⍷
– H.PWiz
Jan 2 at 3:57
you can use compose (∘
) to shorten the train:+/∘∊⍷
or even≢∘⍸⍷
– ngn
Jan 2 at 15:16
add a comment |
You should checkout⍷
– H.PWiz
Jan 2 at 3:57
you can use compose (∘
) to shorten the train:+/∘∊⍷
or even≢∘⍸⍷
– ngn
Jan 2 at 15:16
You should checkout
⍷
– H.PWiz
Jan 2 at 3:57
You should checkout
⍷
– H.PWiz
Jan 2 at 3:57
you can use compose (
∘
) to shorten the train: +/∘∊⍷
or even ≢∘⍸⍷
– ngn
Jan 2 at 15:16
you can use compose (
∘
) to shorten the train: +/∘∊⍷
or even ≢∘⍸⍷
– ngn
Jan 2 at 15:16
add a comment |
JavaScript (ES6), 93 bytes
Takes input as (A)(B)
.
a=>b=>b.map((r,y)=>r.map((_,x)=>s+=!a.some((R,Y)=>R.some((v,X)=>v!=(b[y+Y]||0)[x+X]))),s=0)|s
Try it online!
add a comment |
JavaScript (ES6), 93 bytes
Takes input as (A)(B)
.
a=>b=>b.map((r,y)=>r.map((_,x)=>s+=!a.some((R,Y)=>R.some((v,X)=>v!=(b[y+Y]||0)[x+X]))),s=0)|s
Try it online!
add a comment |
JavaScript (ES6), 93 bytes
Takes input as (A)(B)
.
a=>b=>b.map((r,y)=>r.map((_,x)=>s+=!a.some((R,Y)=>R.some((v,X)=>v!=(b[y+Y]||0)[x+X]))),s=0)|s
Try it online!
JavaScript (ES6), 93 bytes
Takes input as (A)(B)
.
a=>b=>b.map((r,y)=>r.map((_,x)=>s+=!a.some((R,Y)=>R.some((v,X)=>v!=(b[y+Y]||0)[x+X]))),s=0)|s
Try it online!
answered Jan 1 at 12:26


ArnauldArnauld
72.9k689307
72.9k689307
add a comment |
add a comment |
R, 95 bytes
function(A,B,x=dim(A),D=dim(B)-x){for(i in 0:D)for(j in 0:D[2])F=F+all(B[1:x+i,1:x[2]+j]==A);F}
Try it online!
add a comment |
R, 95 bytes
function(A,B,x=dim(A),D=dim(B)-x){for(i in 0:D)for(j in 0:D[2])F=F+all(B[1:x+i,1:x[2]+j]==A);F}
Try it online!
add a comment |
R, 95 bytes
function(A,B,x=dim(A),D=dim(B)-x){for(i in 0:D)for(j in 0:D[2])F=F+all(B[1:x+i,1:x[2]+j]==A);F}
Try it online!
R, 95 bytes
function(A,B,x=dim(A),D=dim(B)-x){for(i in 0:D)for(j in 0:D[2])F=F+all(B[1:x+i,1:x[2]+j]==A);F}
Try it online!
edited Jan 1 at 14:44
answered Jan 1 at 14:31
digEmAlldigEmAll
2,664413
2,664413
add a comment |
add a comment |
Clean, 118 97 95 bytes
import StdEnv,Data.List
?x=[transpose y\z<-tails x,y<-inits z]
$a b=sum[1\x<- ?b,y<- ?x|y==a]
Try it online!
add a comment |
Clean, 118 97 95 bytes
import StdEnv,Data.List
?x=[transpose y\z<-tails x,y<-inits z]
$a b=sum[1\x<- ?b,y<- ?x|y==a]
Try it online!
add a comment |
Clean, 118 97 95 bytes
import StdEnv,Data.List
?x=[transpose y\z<-tails x,y<-inits z]
$a b=sum[1\x<- ?b,y<- ?x|y==a]
Try it online!
Clean, 118 97 95 bytes
import StdEnv,Data.List
?x=[transpose y\z<-tails x,y<-inits z]
$a b=sum[1\x<- ?b,y<- ?x|y==a]
Try it online!
edited Jan 2 at 1:34
answered Dec 31 '18 at 23:45
ΟurousΟurous
6,54211033
6,54211033
add a comment |
add a comment |
Python 2, 101 bytes
lambda a,b:sum(a==[l[j:j+len(a[0])]for l in b[i:i+len(a)]]for i,L in e(b)for j,_ in e(L))
e=enumerate
Try it online!
add a comment |
Python 2, 101 bytes
lambda a,b:sum(a==[l[j:j+len(a[0])]for l in b[i:i+len(a)]]for i,L in e(b)for j,_ in e(L))
e=enumerate
Try it online!
add a comment |
Python 2, 101 bytes
lambda a,b:sum(a==[l[j:j+len(a[0])]for l in b[i:i+len(a)]]for i,L in e(b)for j,_ in e(L))
e=enumerate
Try it online!
Python 2, 101 bytes
lambda a,b:sum(a==[l[j:j+len(a[0])]for l in b[i:i+len(a)]]for i,L in e(b)for j,_ in e(L))
e=enumerate
Try it online!
answered Jan 2 at 14:48


TFeldTFeld
14.4k21240
14.4k21240
add a comment |
add a comment |
Charcoal, 36 27 bytes
IΣ⭆η⭆ι⁼θE✂ηκ⁺Lθκ¹✂νμ⁺L§θ⁰μ¹
Try it online! Much shorter now that Equals works for arrays again. Explanation:
η Input array B
⭆ Mapped over rows and joined
ι Current row
⭆ Mapped over columns and joined
θ Input array A
⁼ Is equal to
η Input array B
✂ Sliced
¹ All elements from
κ Current row index to
L Length of
θ Input array A
⁺ Plus
κ Current row index
E Mapped over rows
ν Current inner row
✂ Sliced
¹ All elements from
μ Current column index to
L Length of
θ Input array A
§ Indexed by
⁰ Literal 0
⁺ Plus
μ Current column index
Σ Digital sum
I Cast to string
Implicitly printed
add a comment |
Charcoal, 36 27 bytes
IΣ⭆η⭆ι⁼θE✂ηκ⁺Lθκ¹✂νμ⁺L§θ⁰μ¹
Try it online! Much shorter now that Equals works for arrays again. Explanation:
η Input array B
⭆ Mapped over rows and joined
ι Current row
⭆ Mapped over columns and joined
θ Input array A
⁼ Is equal to
η Input array B
✂ Sliced
¹ All elements from
κ Current row index to
L Length of
θ Input array A
⁺ Plus
κ Current row index
E Mapped over rows
ν Current inner row
✂ Sliced
¹ All elements from
μ Current column index to
L Length of
θ Input array A
§ Indexed by
⁰ Literal 0
⁺ Plus
μ Current column index
Σ Digital sum
I Cast to string
Implicitly printed
add a comment |
Charcoal, 36 27 bytes
IΣ⭆η⭆ι⁼θE✂ηκ⁺Lθκ¹✂νμ⁺L§θ⁰μ¹
Try it online! Much shorter now that Equals works for arrays again. Explanation:
η Input array B
⭆ Mapped over rows and joined
ι Current row
⭆ Mapped over columns and joined
θ Input array A
⁼ Is equal to
η Input array B
✂ Sliced
¹ All elements from
κ Current row index to
L Length of
θ Input array A
⁺ Plus
κ Current row index
E Mapped over rows
ν Current inner row
✂ Sliced
¹ All elements from
μ Current column index to
L Length of
θ Input array A
§ Indexed by
⁰ Literal 0
⁺ Plus
μ Current column index
Σ Digital sum
I Cast to string
Implicitly printed
Charcoal, 36 27 bytes
IΣ⭆η⭆ι⁼θE✂ηκ⁺Lθκ¹✂νμ⁺L§θ⁰μ¹
Try it online! Much shorter now that Equals works for arrays again. Explanation:
η Input array B
⭆ Mapped over rows and joined
ι Current row
⭆ Mapped over columns and joined
θ Input array A
⁼ Is equal to
η Input array B
✂ Sliced
¹ All elements from
κ Current row index to
L Length of
θ Input array A
⁺ Plus
κ Current row index
E Mapped over rows
ν Current inner row
✂ Sliced
¹ All elements from
μ Current column index to
L Length of
θ Input array A
§ Indexed by
⁰ Literal 0
⁺ Plus
μ Current column index
Σ Digital sum
I Cast to string
Implicitly printed
edited 2 days ago
answered Dec 31 '18 at 21:49
NeilNeil
79.6k744177
79.6k744177
add a comment |
add a comment |
Python 2, 211 bytes
a,b=input()
l,w,L,W,c=len(a),len(a[0]),len(b),len(b[0]),0
for i in range(L):
for j in range(W):
if j<=W-w and i<=L-l:
if not sum([a[x][y]!=b[i+x][j+y]for x in range(l)for y in range(w)]):
c+=1
print c
Try it online!
Fairly straightforward. Step through the larger matrix, and check if the smaller matrix can fit.
The only even slightly tricky step is the list comprehension in the 6th line, which relies on Python's conventions for mixing Boolean and integer arithmetic.
add a comment |
Python 2, 211 bytes
a,b=input()
l,w,L,W,c=len(a),len(a[0]),len(b),len(b[0]),0
for i in range(L):
for j in range(W):
if j<=W-w and i<=L-l:
if not sum([a[x][y]!=b[i+x][j+y]for x in range(l)for y in range(w)]):
c+=1
print c
Try it online!
Fairly straightforward. Step through the larger matrix, and check if the smaller matrix can fit.
The only even slightly tricky step is the list comprehension in the 6th line, which relies on Python's conventions for mixing Boolean and integer arithmetic.
add a comment |
Python 2, 211 bytes
a,b=input()
l,w,L,W,c=len(a),len(a[0]),len(b),len(b[0]),0
for i in range(L):
for j in range(W):
if j<=W-w and i<=L-l:
if not sum([a[x][y]!=b[i+x][j+y]for x in range(l)for y in range(w)]):
c+=1
print c
Try it online!
Fairly straightforward. Step through the larger matrix, and check if the smaller matrix can fit.
The only even slightly tricky step is the list comprehension in the 6th line, which relies on Python's conventions for mixing Boolean and integer arithmetic.
Python 2, 211 bytes
a,b=input()
l,w,L,W,c=len(a),len(a[0]),len(b),len(b[0]),0
for i in range(L):
for j in range(W):
if j<=W-w and i<=L-l:
if not sum([a[x][y]!=b[i+x][j+y]for x in range(l)for y in range(w)]):
c+=1
print c
Try it online!
Fairly straightforward. Step through the larger matrix, and check if the smaller matrix can fit.
The only even slightly tricky step is the list comprehension in the 6th line, which relies on Python's conventions for mixing Boolean and integer arithmetic.
answered Jan 2 at 1:23
CCB60CCB60
1595
1595
add a comment |
add a comment |
Groovy, 109 bytes
{a,b->(0..<b.size()).sum{i->(0..<b[i].size()).count{j->k=i-1
a.every{l=j;k++
it.every{(b[k]?:b)[l++]==it}}}}}
Try it online!
add a comment |
Groovy, 109 bytes
{a,b->(0..<b.size()).sum{i->(0..<b[i].size()).count{j->k=i-1
a.every{l=j;k++
it.every{(b[k]?:b)[l++]==it}}}}}
Try it online!
add a comment |
Groovy, 109 bytes
{a,b->(0..<b.size()).sum{i->(0..<b[i].size()).count{j->k=i-1
a.every{l=j;k++
it.every{(b[k]?:b)[l++]==it}}}}}
Try it online!
Groovy, 109 bytes
{a,b->(0..<b.size()).sum{i->(0..<b[i].size()).count{j->k=i-1
a.every{l=j;k++
it.every{(b[k]?:b)[l++]==it}}}}}
Try it online!
edited Jan 2 at 2:59
answered Jan 2 at 2:38


ASCII-onlyASCII-only
3,2341136
3,2341136
add a comment |
add a comment |
Scala, 151 bytes
(a,b)=>{(0 to b.size-a.size).map(i=>(0 to b(0).size-a(0).size).count(j=>{var k=i-1
a.forall(c=>{var l=j-1;k+=1
c.forall(d=>{l+=1
b(k)(l)==d})})})).sum}
Try it online!
add a comment |
Scala, 151 bytes
(a,b)=>{(0 to b.size-a.size).map(i=>(0 to b(0).size-a(0).size).count(j=>{var k=i-1
a.forall(c=>{var l=j-1;k+=1
c.forall(d=>{l+=1
b(k)(l)==d})})})).sum}
Try it online!
add a comment |
Scala, 151 bytes
(a,b)=>{(0 to b.size-a.size).map(i=>(0 to b(0).size-a(0).size).count(j=>{var k=i-1
a.forall(c=>{var l=j-1;k+=1
c.forall(d=>{l+=1
b(k)(l)==d})})})).sum}
Try it online!
Scala, 151 bytes
(a,b)=>{(0 to b.size-a.size).map(i=>(0 to b(0).size-a(0).size).count(j=>{var k=i-1
a.forall(c=>{var l=j-1;k+=1
c.forall(d=>{l+=1
b(k)(l)==d})})})).sum}
Try it online!
edited Jan 2 at 6:49
answered Jan 2 at 6:34


ASCII-onlyASCII-only
3,2341136
3,2341136
add a comment |
add a comment |
If this is an answer to a challenge…
…Be sure to follow the challenge specification. However, please refrain from exploiting obvious loopholes. Answers abusing any of the standard loopholes are considered invalid. If you think a specification is unclear or underspecified, comment on the question instead.
…Try to optimize your score. For instance, answers to code-golf challenges should attempt to be as short as possible. You can always include a readable version of the code in addition to the competitive one.
Explanations of your answer make it more interesting to read and are very much encouraged.…Include a short header which indicates the language(s) of your code and its score, as defined by the challenge.
More generally…
…Please make sure to answer the question and provide sufficient detail.
…Avoid asking for help, clarification or responding to other answers (use comments instead).
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