message stringlengths 2 19.9k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 322 108k | cluster float64 15 15 | __index_level_0__ int64 644 217k |
|---|---|---|---|---|---|
Provide tags and a correct Python 3 solution for this coding contest problem.
Santa Claus has Robot which lives on the infinite grid and can move along its lines. He can also, having a sequence of m points p1, p2, ..., pm with integer coordinates, do the following: denote its initial location by p0. First, the robot will move from p0 to p1 along one of the shortest paths between them (please notice that since the robot moves only along the grid lines, there can be several shortest paths). Then, after it reaches p1, it'll move to p2, again, choosing one of the shortest ways, then to p3, and so on, until he has visited all points in the given order. Some of the points in the sequence may coincide, in that case Robot will visit that point several times according to the sequence order.
While Santa was away, someone gave a sequence of points to Robot. This sequence is now lost, but Robot saved the protocol of its unit movements. Please, find the minimum possible length of the sequence.
Input
The first line of input contains the only positive integer n (1 ≤ n ≤ 2·105) which equals the number of unit segments the robot traveled. The second line contains the movements protocol, which consists of n letters, each being equal either L, or R, or U, or D. k-th letter stands for the direction which Robot traveled the k-th unit segment in: L means that it moved to the left, R — to the right, U — to the top and D — to the bottom. Have a look at the illustrations for better explanation.
Output
The only line of input should contain the minimum possible length of the sequence.
Examples
Input
4
RURD
Output
2
Input
6
RRULDD
Output
2
Input
26
RRRULURURUULULLLDLDDRDRDLD
Output
7
Input
3
RLL
Output
2
Input
4
LRLR
Output
4
Note
The illustrations to the first three tests are given below.
<image> <image> <image>
The last example illustrates that each point in the sequence should be counted as many times as it is presented in the sequence. | instruction | 0 | 77,211 | 15 | 154,422 |
Tags: constructive algorithms, math
Correct Solution:
```
def main():
n = int(input())
s = input()
fr = None
sc = None
ans = 0
for elem in s:
if (fr == None):
fr = elem
ans += 1
else:
if (sc == None):
if (elem == fr):
continue
else:
if (fr == 'L' and elem == 'R') or (fr == 'R' and elem == 'L') or (fr == 'D' and elem == 'U') or (fr == 'U' and elem == 'D'):
ans += 1
fr = elem
sc = None
else:
sc = elem
else:
if (elem == fr or elem == sc):
continue
else:
ans += 1
fr = elem
sc = None
print(ans)
main()
``` | output | 1 | 77,211 | 15 | 154,423 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Santa Claus has Robot which lives on the infinite grid and can move along its lines. He can also, having a sequence of m points p1, p2, ..., pm with integer coordinates, do the following: denote its initial location by p0. First, the robot will move from p0 to p1 along one of the shortest paths between them (please notice that since the robot moves only along the grid lines, there can be several shortest paths). Then, after it reaches p1, it'll move to p2, again, choosing one of the shortest ways, then to p3, and so on, until he has visited all points in the given order. Some of the points in the sequence may coincide, in that case Robot will visit that point several times according to the sequence order.
While Santa was away, someone gave a sequence of points to Robot. This sequence is now lost, but Robot saved the protocol of its unit movements. Please, find the minimum possible length of the sequence.
Input
The first line of input contains the only positive integer n (1 ≤ n ≤ 2·105) which equals the number of unit segments the robot traveled. The second line contains the movements protocol, which consists of n letters, each being equal either L, or R, or U, or D. k-th letter stands for the direction which Robot traveled the k-th unit segment in: L means that it moved to the left, R — to the right, U — to the top and D — to the bottom. Have a look at the illustrations for better explanation.
Output
The only line of input should contain the minimum possible length of the sequence.
Examples
Input
4
RURD
Output
2
Input
6
RRULDD
Output
2
Input
26
RRRULURURUULULLLDLDDRDRDLD
Output
7
Input
3
RLL
Output
2
Input
4
LRLR
Output
4
Note
The illustrations to the first three tests are given below.
<image> <image> <image>
The last example illustrates that each point in the sequence should be counted as many times as it is presented in the sequence. | instruction | 0 | 77,212 | 15 | 154,424 |
Tags: constructive algorithms, math
Correct Solution:
```
# your code goes here
a = int(input())
s = input()
count = 0
m1 = '0'
m2 = '0'
for i in range(len(s)):
if( (m1=='0')and(m2=='0') ):
m1=s[i]
if( (m1!=s[i])and(m2!=s[i])and(m1!='0')and(m2!='0') ):
count+=1
m1=s[i]
m2='0'
elif( (m1!=s[i]and(m2!=s[i]))and((m1!='0')and(m2=='0')) ):
m2=s[i]
if(((m1=='R') and (m2=='L'))or((m1=='L') and (m2=='R'))or((m1=='U') and (m2=='D'))or((m1=='D') and (m2=='U'))):
count+=1
m1=s[i]
m2='0'
#if((s.count('R')==s.count('L'))and(s.count('D')==s.count('U'))):
#count+=1
if(len(s)==1):
print(1)
else:
print(count+1)
``` | output | 1 | 77,212 | 15 | 154,425 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Santa Claus has Robot which lives on the infinite grid and can move along its lines. He can also, having a sequence of m points p1, p2, ..., pm with integer coordinates, do the following: denote its initial location by p0. First, the robot will move from p0 to p1 along one of the shortest paths between them (please notice that since the robot moves only along the grid lines, there can be several shortest paths). Then, after it reaches p1, it'll move to p2, again, choosing one of the shortest ways, then to p3, and so on, until he has visited all points in the given order. Some of the points in the sequence may coincide, in that case Robot will visit that point several times according to the sequence order.
While Santa was away, someone gave a sequence of points to Robot. This sequence is now lost, but Robot saved the protocol of its unit movements. Please, find the minimum possible length of the sequence.
Input
The first line of input contains the only positive integer n (1 ≤ n ≤ 2·105) which equals the number of unit segments the robot traveled. The second line contains the movements protocol, which consists of n letters, each being equal either L, or R, or U, or D. k-th letter stands for the direction which Robot traveled the k-th unit segment in: L means that it moved to the left, R — to the right, U — to the top and D — to the bottom. Have a look at the illustrations for better explanation.
Output
The only line of input should contain the minimum possible length of the sequence.
Examples
Input
4
RURD
Output
2
Input
6
RRULDD
Output
2
Input
26
RRRULURURUULULLLDLDDRDRDLD
Output
7
Input
3
RLL
Output
2
Input
4
LRLR
Output
4
Note
The illustrations to the first three tests are given below.
<image> <image> <image>
The last example illustrates that each point in the sequence should be counted as many times as it is presented in the sequence.
Submitted Solution:
```
input()
opposites = {'R':'L', 'L':'R', 'U':'D', 'D':'U'}
protocol = input()
old_movement = ''
answer = 0
for i in protocol:
if len(old_movement) == 0:
old_movement = i
answer += 1
else:
if len(set(old_movement)) == 1:
if opposites[old_movement[-1]] == i:
answer += 1
old_movement = i
else:
old_movement += i
else:
if i not in old_movement:
old_movement = i
answer += 1
print(answer)
``` | instruction | 0 | 77,213 | 15 | 154,426 |
Yes | output | 1 | 77,213 | 15 | 154,427 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Santa Claus has Robot which lives on the infinite grid and can move along its lines. He can also, having a sequence of m points p1, p2, ..., pm with integer coordinates, do the following: denote its initial location by p0. First, the robot will move from p0 to p1 along one of the shortest paths between them (please notice that since the robot moves only along the grid lines, there can be several shortest paths). Then, after it reaches p1, it'll move to p2, again, choosing one of the shortest ways, then to p3, and so on, until he has visited all points in the given order. Some of the points in the sequence may coincide, in that case Robot will visit that point several times according to the sequence order.
While Santa was away, someone gave a sequence of points to Robot. This sequence is now lost, but Robot saved the protocol of its unit movements. Please, find the minimum possible length of the sequence.
Input
The first line of input contains the only positive integer n (1 ≤ n ≤ 2·105) which equals the number of unit segments the robot traveled. The second line contains the movements protocol, which consists of n letters, each being equal either L, or R, or U, or D. k-th letter stands for the direction which Robot traveled the k-th unit segment in: L means that it moved to the left, R — to the right, U — to the top and D — to the bottom. Have a look at the illustrations for better explanation.
Output
The only line of input should contain the minimum possible length of the sequence.
Examples
Input
4
RURD
Output
2
Input
6
RRULDD
Output
2
Input
26
RRRULURURUULULLLDLDDRDRDLD
Output
7
Input
3
RLL
Output
2
Input
4
LRLR
Output
4
Note
The illustrations to the first three tests are given below.
<image> <image> <image>
The last example illustrates that each point in the sequence should be counted as many times as it is presented in the sequence.
Submitted Solution:
```
n = int(input())
s = input()
opposite = {'D':'U', 'U':'D', 'L':'R', 'R':'L'}
directions = set()
k = 0
for c in s:
directions.add(c)
if len(directions) > 2 or opposite[c] in directions:
k += 1
directions.clear()
directions.add(c)
print(k+1)
``` | instruction | 0 | 77,214 | 15 | 154,428 |
Yes | output | 1 | 77,214 | 15 | 154,429 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Santa Claus has Robot which lives on the infinite grid and can move along its lines. He can also, having a sequence of m points p1, p2, ..., pm with integer coordinates, do the following: denote its initial location by p0. First, the robot will move from p0 to p1 along one of the shortest paths between them (please notice that since the robot moves only along the grid lines, there can be several shortest paths). Then, after it reaches p1, it'll move to p2, again, choosing one of the shortest ways, then to p3, and so on, until he has visited all points in the given order. Some of the points in the sequence may coincide, in that case Robot will visit that point several times according to the sequence order.
While Santa was away, someone gave a sequence of points to Robot. This sequence is now lost, but Robot saved the protocol of its unit movements. Please, find the minimum possible length of the sequence.
Input
The first line of input contains the only positive integer n (1 ≤ n ≤ 2·105) which equals the number of unit segments the robot traveled. The second line contains the movements protocol, which consists of n letters, each being equal either L, or R, or U, or D. k-th letter stands for the direction which Robot traveled the k-th unit segment in: L means that it moved to the left, R — to the right, U — to the top and D — to the bottom. Have a look at the illustrations for better explanation.
Output
The only line of input should contain the minimum possible length of the sequence.
Examples
Input
4
RURD
Output
2
Input
6
RRULDD
Output
2
Input
26
RRRULURURUULULLLDLDDRDRDLD
Output
7
Input
3
RLL
Output
2
Input
4
LRLR
Output
4
Note
The illustrations to the first three tests are given below.
<image> <image> <image>
The last example illustrates that each point in the sequence should be counted as many times as it is presented in the sequence.
Submitted Solution:
```
n=int(input())
s=input()
c=''
x=0
for i in s:
if i not in c:
c+=i
if 'R' in c and 'L' in c or 'U' in c and 'D' in c:
x+=1
c=i
print(x+1 if c else x)
``` | instruction | 0 | 77,215 | 15 | 154,430 |
Yes | output | 1 | 77,215 | 15 | 154,431 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Santa Claus has Robot which lives on the infinite grid and can move along its lines. He can also, having a sequence of m points p1, p2, ..., pm with integer coordinates, do the following: denote its initial location by p0. First, the robot will move from p0 to p1 along one of the shortest paths between them (please notice that since the robot moves only along the grid lines, there can be several shortest paths). Then, after it reaches p1, it'll move to p2, again, choosing one of the shortest ways, then to p3, and so on, until he has visited all points in the given order. Some of the points in the sequence may coincide, in that case Robot will visit that point several times according to the sequence order.
While Santa was away, someone gave a sequence of points to Robot. This sequence is now lost, but Robot saved the protocol of its unit movements. Please, find the minimum possible length of the sequence.
Input
The first line of input contains the only positive integer n (1 ≤ n ≤ 2·105) which equals the number of unit segments the robot traveled. The second line contains the movements protocol, which consists of n letters, each being equal either L, or R, or U, or D. k-th letter stands for the direction which Robot traveled the k-th unit segment in: L means that it moved to the left, R — to the right, U — to the top and D — to the bottom. Have a look at the illustrations for better explanation.
Output
The only line of input should contain the minimum possible length of the sequence.
Examples
Input
4
RURD
Output
2
Input
6
RRULDD
Output
2
Input
26
RRRULURURUULULLLDLDDRDRDLD
Output
7
Input
3
RLL
Output
2
Input
4
LRLR
Output
4
Note
The illustrations to the first three tests are given below.
<image> <image> <image>
The last example illustrates that each point in the sequence should be counted as many times as it is presented in the sequence.
Submitted Solution:
```
n = int(input())
s = input()
d = ''
ans = 0
cant = dict()
cant['R'] = 'L'
cant['L'] = 'R'
cant['U'] = 'D'
cant['D'] = 'U'
for i in range(n):
if d == '':
d = s[i]
ans += 1
else:
if len(d) == 1:
if s[i] != d:
if cant[s[i]] == d:
ans += 1
d = s[i]
else:
d += s[i]
else:
if s[i] != d[0] and s[i] != d[1]:
ans += 1
d = s[i]
print(ans)
``` | instruction | 0 | 77,216 | 15 | 154,432 |
Yes | output | 1 | 77,216 | 15 | 154,433 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Santa Claus has Robot which lives on the infinite grid and can move along its lines. He can also, having a sequence of m points p1, p2, ..., pm with integer coordinates, do the following: denote its initial location by p0. First, the robot will move from p0 to p1 along one of the shortest paths between them (please notice that since the robot moves only along the grid lines, there can be several shortest paths). Then, after it reaches p1, it'll move to p2, again, choosing one of the shortest ways, then to p3, and so on, until he has visited all points in the given order. Some of the points in the sequence may coincide, in that case Robot will visit that point several times according to the sequence order.
While Santa was away, someone gave a sequence of points to Robot. This sequence is now lost, but Robot saved the protocol of its unit movements. Please, find the minimum possible length of the sequence.
Input
The first line of input contains the only positive integer n (1 ≤ n ≤ 2·105) which equals the number of unit segments the robot traveled. The second line contains the movements protocol, which consists of n letters, each being equal either L, or R, or U, or D. k-th letter stands for the direction which Robot traveled the k-th unit segment in: L means that it moved to the left, R — to the right, U — to the top and D — to the bottom. Have a look at the illustrations for better explanation.
Output
The only line of input should contain the minimum possible length of the sequence.
Examples
Input
4
RURD
Output
2
Input
6
RRULDD
Output
2
Input
26
RRRULURURUULULLLDLDDRDRDLD
Output
7
Input
3
RLL
Output
2
Input
4
LRLR
Output
4
Note
The illustrations to the first three tests are given below.
<image> <image> <image>
The last example illustrates that each point in the sequence should be counted as many times as it is presented in the sequence.
Submitted Solution:
```
# your code goes here
a = int(input())
s = input()
count = 0
m1 = '0'
m2 = '0'
for i in range(len(s)):
if( (m1=='0')and(m2=='0') ):
m1=s[i]
if( (m1!=s[i])and(m2!=s[i])and(m1!='0')and(m2!='0') ):
count+=1
m1=s[i]
m2='0'
elif( (m1!=s[i]and(m2!=s[i]))and((m1!='0')and(m2=='0')) ):
m2=s[i]
if(((m1=='R') and (m2=='L'))or((m1=='L') and (m2=='R'))or((m1=='U') and (m2=='D'))or((m1=='D') and (m2=='U'))):
count+=1
m1=s[i]
print(count+1)
``` | instruction | 0 | 77,217 | 15 | 154,434 |
No | output | 1 | 77,217 | 15 | 154,435 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Santa Claus has Robot which lives on the infinite grid and can move along its lines. He can also, having a sequence of m points p1, p2, ..., pm with integer coordinates, do the following: denote its initial location by p0. First, the robot will move from p0 to p1 along one of the shortest paths between them (please notice that since the robot moves only along the grid lines, there can be several shortest paths). Then, after it reaches p1, it'll move to p2, again, choosing one of the shortest ways, then to p3, and so on, until he has visited all points in the given order. Some of the points in the sequence may coincide, in that case Robot will visit that point several times according to the sequence order.
While Santa was away, someone gave a sequence of points to Robot. This sequence is now lost, but Robot saved the protocol of its unit movements. Please, find the minimum possible length of the sequence.
Input
The first line of input contains the only positive integer n (1 ≤ n ≤ 2·105) which equals the number of unit segments the robot traveled. The second line contains the movements protocol, which consists of n letters, each being equal either L, or R, or U, or D. k-th letter stands for the direction which Robot traveled the k-th unit segment in: L means that it moved to the left, R — to the right, U — to the top and D — to the bottom. Have a look at the illustrations for better explanation.
Output
The only line of input should contain the minimum possible length of the sequence.
Examples
Input
4
RURD
Output
2
Input
6
RRULDD
Output
2
Input
26
RRRULURURUULULLLDLDDRDRDLD
Output
7
Input
3
RLL
Output
2
Input
4
LRLR
Output
4
Note
The illustrations to the first three tests are given below.
<image> <image> <image>
The last example illustrates that each point in the sequence should be counted as many times as it is presented in the sequence.
Submitted Solution:
```
n=input()
st=input()
r_count=st.count('R')
l_count=st.count('L')
u_count=st.count('U')
d_count=st.count('D')
temp=0
x=0
y=0
s={}
for i in st:
if i=='R':
x+=1
if i == 'U':
y += 1
if i == 'L':
x -= 1
if i == 'D':
y -= 1
if (x,y) not in s:
s[(x,y)]=0
else:
s[(x,y)]+=1
for i in s.keys():
temp+=s[i]
print(max(r_count,l_count,u_count,d_count)+temp)
``` | instruction | 0 | 77,218 | 15 | 154,436 |
No | output | 1 | 77,218 | 15 | 154,437 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Santa Claus has Robot which lives on the infinite grid and can move along its lines. He can also, having a sequence of m points p1, p2, ..., pm with integer coordinates, do the following: denote its initial location by p0. First, the robot will move from p0 to p1 along one of the shortest paths between them (please notice that since the robot moves only along the grid lines, there can be several shortest paths). Then, after it reaches p1, it'll move to p2, again, choosing one of the shortest ways, then to p3, and so on, until he has visited all points in the given order. Some of the points in the sequence may coincide, in that case Robot will visit that point several times according to the sequence order.
While Santa was away, someone gave a sequence of points to Robot. This sequence is now lost, but Robot saved the protocol of its unit movements. Please, find the minimum possible length of the sequence.
Input
The first line of input contains the only positive integer n (1 ≤ n ≤ 2·105) which equals the number of unit segments the robot traveled. The second line contains the movements protocol, which consists of n letters, each being equal either L, or R, or U, or D. k-th letter stands for the direction which Robot traveled the k-th unit segment in: L means that it moved to the left, R — to the right, U — to the top and D — to the bottom. Have a look at the illustrations for better explanation.
Output
The only line of input should contain the minimum possible length of the sequence.
Examples
Input
4
RURD
Output
2
Input
6
RRULDD
Output
2
Input
26
RRRULURURUULULLLDLDDRDRDLD
Output
7
Input
3
RLL
Output
2
Input
4
LRLR
Output
4
Note
The illustrations to the first three tests are given below.
<image> <image> <image>
The last example illustrates that each point in the sequence should be counted as many times as it is presented in the sequence.
Submitted Solution:
```
a=int(input())
b=input()
c=[]
d=[]
for i in range(a):
c.append(b[i])
for g in range(len(c)-1):
if c[g]!='':
for h in range (1,len(c)):
if (c[g]=='R' and c[h]=='L') or (c[g]=='L' and c[h]=='R') or(c[g]=='U' and c[h]=='D') or (c[g]=='D' and c[h]=='U'):
c[g]=''
c[h]=''
for k in range(len(c)):
if c[k]!='':
d.append(c[k])
print(len(d))
``` | instruction | 0 | 77,219 | 15 | 154,438 |
No | output | 1 | 77,219 | 15 | 154,439 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Santa Claus has Robot which lives on the infinite grid and can move along its lines. He can also, having a sequence of m points p1, p2, ..., pm with integer coordinates, do the following: denote its initial location by p0. First, the robot will move from p0 to p1 along one of the shortest paths between them (please notice that since the robot moves only along the grid lines, there can be several shortest paths). Then, after it reaches p1, it'll move to p2, again, choosing one of the shortest ways, then to p3, and so on, until he has visited all points in the given order. Some of the points in the sequence may coincide, in that case Robot will visit that point several times according to the sequence order.
While Santa was away, someone gave a sequence of points to Robot. This sequence is now lost, but Robot saved the protocol of its unit movements. Please, find the minimum possible length of the sequence.
Input
The first line of input contains the only positive integer n (1 ≤ n ≤ 2·105) which equals the number of unit segments the robot traveled. The second line contains the movements protocol, which consists of n letters, each being equal either L, or R, or U, or D. k-th letter stands for the direction which Robot traveled the k-th unit segment in: L means that it moved to the left, R — to the right, U — to the top and D — to the bottom. Have a look at the illustrations for better explanation.
Output
The only line of input should contain the minimum possible length of the sequence.
Examples
Input
4
RURD
Output
2
Input
6
RRULDD
Output
2
Input
26
RRRULURURUULULLLDLDDRDRDLD
Output
7
Input
3
RLL
Output
2
Input
4
LRLR
Output
4
Note
The illustrations to the first three tests are given below.
<image> <image> <image>
The last example illustrates that each point in the sequence should be counted as many times as it is presented in the sequence.
Submitted Solution:
```
n=int(input())
s=input()
hor=0
vert=0
for i in s:
if i=='L':
hor-=1
elif i=='R':
hor+=1
elif i=='U':
vert+=1
else:
vert-=1
if hor<0:
hor=-hor
if vert<0:
vert=-vert
if (s.count('R')==0 and s.count('L')==0) or (s.count('U')==0 and s.count('D')==0):
res=1
go=s[0]
for i in range(n):
if s[i]!=go:
res+=1
go=s[i]
print(res)
elif hor+vert==0:
print(s.count('R'))
else:
print(hor+vert)
``` | instruction | 0 | 77,220 | 15 | 154,440 |
No | output | 1 | 77,220 | 15 | 154,441 |
Provide tags and a correct Python 3 solution for this coding contest problem.
On the way to school, Karen became fixated on the puzzle game on her phone!
<image>
The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.
One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.
To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.
Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!
Input
The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.
The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).
Output
If there is an error and it is actually not possible to beat the level, output a single integer -1.
Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.
The next k lines should each contain one of the following, describing the moves in the order they must be done:
* row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row".
* col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column".
If there are multiple optimal solutions, output any one of them.
Examples
Input
3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1
Output
4
row 1
row 1
col 4
row 3
Input
3 3
0 0 0
0 1 0
0 0 0
Output
-1
Input
3 3
1 1 1
1 1 1
1 1 1
Output
3
row 1
row 2
row 3
Note
In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:
<image>
In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.
In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:
<image>
Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3. | instruction | 0 | 77,253 | 15 | 154,506 |
Tags: brute force, greedy, implementation
Correct Solution:
```
"""Ввод размера матрицы"""
nm = [int(s) for s in input().split()]
"""Ввод массива"""
a = []
for i in range(nm[0]):
a.append([int(j) for j in input().split()])
rez=[]
def stroka():
global rez
rez_row=[]
rez_r=0
for i in range(nm[0]):
min_row=501
for j in range(nm[1]):
if a[i][j]< min_row:
min_row=a[i][j]
rez_r+=min_row
if min_row != 0:
for c in range(min_row):
rez.append('row ' + str(i+1))
for j in range(nm[1]):
if a[i][j]>0:
a[i][j]-= min_row
def grafa():
global rez
rez_c=0
for j in range(nm[1]):
min_col=501
for i in range(nm[0]):
if a[i][j]< min_col:
min_col=a[i][j]
rez_c+=min_col
if min_col !=0:
for c in range(min_col):
rez.append('col '+ str(j+1))
for i in range(nm[0]):
if a[i][j]>0:
a[i][j] -=min_col
if nm[0]<nm[1]:
stroka()
grafa()
else:
grafa()
stroka()
maxEl = max(max(a))
if maxEl == 0:
print(len(rez))
for el in rez:
print(el)
else:
print(-1)
``` | output | 1 | 77,253 | 15 | 154,507 |
Provide tags and a correct Python 3 solution for this coding contest problem.
On the way to school, Karen became fixated on the puzzle game on her phone!
<image>
The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.
One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.
To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.
Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!
Input
The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.
The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).
Output
If there is an error and it is actually not possible to beat the level, output a single integer -1.
Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.
The next k lines should each contain one of the following, describing the moves in the order they must be done:
* row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row".
* col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column".
If there are multiple optimal solutions, output any one of them.
Examples
Input
3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1
Output
4
row 1
row 1
col 4
row 3
Input
3 3
0 0 0
0 1 0
0 0 0
Output
-1
Input
3 3
1 1 1
1 1 1
1 1 1
Output
3
row 1
row 2
row 3
Note
In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:
<image>
In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.
In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:
<image>
Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3. | instruction | 0 | 77,254 | 15 | 154,508 |
Tags: brute force, greedy, implementation
Correct Solution:
```
import copy
n,m=map(int,input().split())
a=[]
ans=[]
ans1=[]
for i in range (n):
a.append(list(map(int,input().split())))
b=copy.deepcopy(a)
for i in range (n):
mn=min(a[i])
for j in range (m):
a[i][j]-=mn
if(mn>0):
ans.append(['row',i,mn])
for i in range (m):
mn=1000
for j in range (n):
if(a[j][i]<mn):
mn=a[j][i]
for j in range (n):
a[j][i]-=mn
if(mn>0):
ans.append(['col',i,mn])
for i in range (m):
mn=1000
for j in range (n):
if(b[j][i]<mn):
mn=b[j][i]
for j in range (n):
b[j][i]-=mn
if(mn>0):
ans1.append(['col',i,mn])
for i in range (n):
mn=min(b[i])
for j in range (m):
b[i][j]-=mn
if(mn>0):
ans1.append(['row',i,mn])
if(sum(sum(k) for k in a)!=0):
print(-1)
else:
count=0
count1=0
for i in ans:
count+=i[2]
for i in ans1:
count1+=i[2]
if(count1>count):
print(count)
for i in ans:
for j in range (i[2]):
print(i[0],i[1]+1,sep=" ")
else:
print(count1)
for i in ans1:
for j in range (i[2]):
print(i[0],i[1]+1,sep=" ")
``` | output | 1 | 77,254 | 15 | 154,509 |
Provide tags and a correct Python 3 solution for this coding contest problem.
On the way to school, Karen became fixated on the puzzle game on her phone!
<image>
The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.
One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.
To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.
Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!
Input
The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.
The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).
Output
If there is an error and it is actually not possible to beat the level, output a single integer -1.
Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.
The next k lines should each contain one of the following, describing the moves in the order they must be done:
* row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row".
* col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column".
If there are multiple optimal solutions, output any one of them.
Examples
Input
3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1
Output
4
row 1
row 1
col 4
row 3
Input
3 3
0 0 0
0 1 0
0 0 0
Output
-1
Input
3 3
1 1 1
1 1 1
1 1 1
Output
3
row 1
row 2
row 3
Note
In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:
<image>
In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.
In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:
<image>
Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3. | instruction | 0 | 77,255 | 15 | 154,510 |
Tags: brute force, greedy, implementation
Correct Solution:
```
#!/usr/bin/env python3
import sys
from functools import reduce
from queue import PriorityQueue
INFINITY = 1000
def do_row(mat, actions):
n = len(mat)
did_nothing = True
for r in range(n):
mn, mx = min_and_max(mat[r])
#print(mn, mx, file=sys.stderr)
if mn > 0:
dec = mn
perform(mat, 'row', r, dec)
for __ in range(dec):
actions.append(('row', r + 1))
did_nothing = False
return did_nothing
def do_col(mat, actions):
did_nothing = True
for c, tup in enumerate(zip(*mat)):
mn, mx = min_and_max(tup)
if mn > 0:
dec = mn
perform(mat, 'col', c, dec)
for __ in range(dec):
actions.append(('col', c + 1))
did_nothing = False
return did_nothing
def main():
n, m = map(int, sys.stdin.readline().split())
mat = [None] * n
actions = []
for indx in range(n):
mat[indx] = list(map(int, sys.stdin.readline().split()))
while True:
did_nothing = True
if n <= m:
did_nothing &= do_row(mat, actions)
#print(mat, file=sys.stderr)
did_nothing &= do_col(mat, actions)
#print(mat, file=sys.stderr)
else:
did_nothing &= do_col(mat, actions)
#print(mat, file=sys.stderr)
did_nothing &= do_row(mat, actions)
#print(mat, file=sys.stderr)
if did_nothing:
if max(map(max, mat)) == 0:
print(len(actions))
for act in actions:
print(' '.join(map(str, act)))
return
else:
print(-1)
return
def min_and_max(ary):
return reduce(lambda m_M, cur: (min(m_M[0], cur), max(m_M[1], cur)), ary, (INFINITY, -1))
def perform(mat, r_or_c, _indx, dec):
if r_or_c == 'row':
for indx in range(len(mat[_indx])):
mat[_indx][indx] -= dec
else:
for indx in range(len(mat)):
mat[indx][_indx] -= dec
if __name__ == '__main__':
main()
``` | output | 1 | 77,255 | 15 | 154,511 |
Provide tags and a correct Python 3 solution for this coding contest problem.
On the way to school, Karen became fixated on the puzzle game on her phone!
<image>
The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.
One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.
To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.
Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!
Input
The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.
The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).
Output
If there is an error and it is actually not possible to beat the level, output a single integer -1.
Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.
The next k lines should each contain one of the following, describing the moves in the order they must be done:
* row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row".
* col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column".
If there are multiple optimal solutions, output any one of them.
Examples
Input
3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1
Output
4
row 1
row 1
col 4
row 3
Input
3 3
0 0 0
0 1 0
0 0 0
Output
-1
Input
3 3
1 1 1
1 1 1
1 1 1
Output
3
row 1
row 2
row 3
Note
In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:
<image>
In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.
In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:
<image>
Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3. | instruction | 0 | 77,256 | 15 | 154,512 |
Tags: brute force, greedy, implementation
Correct Solution:
```
read = lambda: map(int, input().split())
def fail():
print(-1)
exit()
n, m = read()
g = [list(read()) for i in range(n)]
a = [0] * n
b = [0] * m
for i in range(1, m):
b[i] = g[0][i] - g[0][0]
for i in range(1, n):
a[i] = g[i][0] - g[0][0]
for i in range(n):
for j in range(1, m):
cur = g[i][j] - g[i][0]
if cur != b[j]: fail()
for j in range(m):
for i in range(1, n):
cur = g[i][j] - g[0][j]
if cur != a[i]: fail()
mn = min(min(i) for i in g)
mb = min(b)
for i in range(m): b[i] -= mb
ma = min(a)
for i in range(n): a[i] -= ma
if n < m:
for i in range(n):
a[i] += mn
else:
for i in range(m):
b[i] += mn
#print(a, b)
print(sum(a) + sum(b))
for i in range(n):
for j in range(a[i]):
print('row', i + 1)
for i in range(m):
for j in range(b[i]):
print('col', i + 1)
``` | output | 1 | 77,256 | 15 | 154,513 |
Provide tags and a correct Python 3 solution for this coding contest problem.
On the way to school, Karen became fixated on the puzzle game on her phone!
<image>
The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.
One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.
To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.
Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!
Input
The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.
The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).
Output
If there is an error and it is actually not possible to beat the level, output a single integer -1.
Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.
The next k lines should each contain one of the following, describing the moves in the order they must be done:
* row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row".
* col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column".
If there are multiple optimal solutions, output any one of them.
Examples
Input
3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1
Output
4
row 1
row 1
col 4
row 3
Input
3 3
0 0 0
0 1 0
0 0 0
Output
-1
Input
3 3
1 1 1
1 1 1
1 1 1
Output
3
row 1
row 2
row 3
Note
In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:
<image>
In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.
In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:
<image>
Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3. | instruction | 0 | 77,257 | 15 | 154,514 |
Tags: brute force, greedy, implementation
Correct Solution:
```
n, m = map(int, input().split())
mat = [list(map(int, input().strip().split()))
for _ in range(n)]
def clear_row():
rows = []
for i in range(n):
minx = 501
for j in range(m):
minx = min(minx, mat[i][j])
for j in range(m):
mat[i][j] -= minx
for j in range(minx):
rows.append('row {}'.format(i+1))
return rows
def clear_col():
cols = []
for i in range(m):
minx = 501
for j in range(n):
minx = min(minx, mat[j][i])
for j in range(n):
mat[j][i] -= minx
for j in range(minx):
cols.append('col {}'.format(i+1))
return cols
def empty():
s = 0
for i in range(n):
s += sum(mat[i])
return s == 0
if n < m:
rows = clear_row()
cols = clear_col()
else:
cols = clear_col()
rows = clear_row()
if empty():
ans = rows + cols
print(len(ans))
for msg in ans:
print(msg)
else:
print(-1)
``` | output | 1 | 77,257 | 15 | 154,515 |
Provide tags and a correct Python 3 solution for this coding contest problem.
On the way to school, Karen became fixated on the puzzle game on her phone!
<image>
The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.
One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.
To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.
Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!
Input
The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.
The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).
Output
If there is an error and it is actually not possible to beat the level, output a single integer -1.
Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.
The next k lines should each contain one of the following, describing the moves in the order they must be done:
* row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row".
* col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column".
If there are multiple optimal solutions, output any one of them.
Examples
Input
3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1
Output
4
row 1
row 1
col 4
row 3
Input
3 3
0 0 0
0 1 0
0 0 0
Output
-1
Input
3 3
1 1 1
1 1 1
1 1 1
Output
3
row 1
row 2
row 3
Note
In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:
<image>
In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.
In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:
<image>
Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3. | instruction | 0 | 77,258 | 15 | 154,516 |
Tags: brute force, greedy, implementation
Correct Solution:
```
n, m = map(int, input().split())
table = [list(map(int, input().split())) for i in range(n)]
table2 = [list(l) for l in table]
anslst = []
for i in range(n):
minv = min(table[i])
for v in range(minv):
anslst.append("row {}".format(i + 1))
for j in range(m):
table[i][j] -= minv
for j in range(m):
minv = 1e9
for i in range(n):
minv = min(minv, table[i][j])
for v in range(minv):
anslst.append("col {}".format(j + 1))
for i in range(n):
table[i][j] -= minv
flg = True
for i in range(n):
for j in range(m):
if table[i][j] != 0:
flg = False
if not flg:
print(-1)
exit()
anslst2 = []
for j in range(m):
minv = 1e9
for i in range(n):
minv = min(minv, table2[i][j])
for v in range(minv):
anslst2.append("col {}".format(j + 1))
for i in range(n):
table2[i][j] -= minv
for i in range(n):
minv = min(table2[i])
for v in range(minv):
anslst2.append("row {}".format(i + 1))
for j in range(m):
table2[i][j] -= minv
if len(anslst) < len(anslst2):
print(len(anslst))
for a in anslst:
print(a)
else:
print(len(anslst2))
for a in anslst2:
print(a)
``` | output | 1 | 77,258 | 15 | 154,517 |
Provide tags and a correct Python 3 solution for this coding contest problem.
On the way to school, Karen became fixated on the puzzle game on her phone!
<image>
The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.
One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.
To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.
Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!
Input
The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.
The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).
Output
If there is an error and it is actually not possible to beat the level, output a single integer -1.
Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.
The next k lines should each contain one of the following, describing the moves in the order they must be done:
* row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row".
* col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column".
If there are multiple optimal solutions, output any one of them.
Examples
Input
3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1
Output
4
row 1
row 1
col 4
row 3
Input
3 3
0 0 0
0 1 0
0 0 0
Output
-1
Input
3 3
1 1 1
1 1 1
1 1 1
Output
3
row 1
row 2
row 3
Note
In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:
<image>
In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.
In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:
<image>
Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3. | instruction | 0 | 77,259 | 15 | 154,518 |
Tags: brute force, greedy, implementation
Correct Solution:
```
import sys
def main():
n,m=list(map(int,sys.stdin.readline().split()))
field=[]
for i in range(n):
row=list(map(int,sys.stdin.readline().split()))
field.append(row)
nmoves=0
moves=[]
while True:
minrow=[min(field[i][j] for j in range(m)) for i in range(n)]
mincol=[min(field[i][j] for i in range(n)) for j in range(m)]
maxrow,imaxrow=max((item,index) for index,item in enumerate(minrow))
maxcol,imaxcol=max((item,index) for index,item in enumerate(mincol))
if maxrow==maxcol==0: break
if (n>=m and maxcol>0) or (maxrow==0):
moves.append((maxcol,-(imaxcol+1)))
nmoves+=maxcol
for i in range(n):
field[i][imaxcol]-=maxcol
elif maxrow>0:
moves.append((maxrow,imaxrow+1))
nmoves+=maxrow
for j in range(m):
field[imaxrow][j]-=maxrow
maxelem=max(field[i][j] for i in range(n) for j in range(m))
if maxelem>0:
sys.stdout.write('-1'+'\n')
return
sys.stdout.write(str(nmoves)+'\n')
for repeat,move in moves:
for _ in range(repeat):
mtype='row' if move>0 else 'col'
sys.stdout.write(mtype+' '+str(abs(move))+'\n')
main()
``` | output | 1 | 77,259 | 15 | 154,519 |
Provide tags and a correct Python 3 solution for this coding contest problem.
On the way to school, Karen became fixated on the puzzle game on her phone!
<image>
The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.
One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.
To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.
Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!
Input
The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.
The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).
Output
If there is an error and it is actually not possible to beat the level, output a single integer -1.
Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.
The next k lines should each contain one of the following, describing the moves in the order they must be done:
* row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row".
* col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column".
If there are multiple optimal solutions, output any one of them.
Examples
Input
3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1
Output
4
row 1
row 1
col 4
row 3
Input
3 3
0 0 0
0 1 0
0 0 0
Output
-1
Input
3 3
1 1 1
1 1 1
1 1 1
Output
3
row 1
row 2
row 3
Note
In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:
<image>
In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.
In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:
<image>
Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3. | instruction | 0 | 77,260 | 15 | 154,520 |
Tags: brute force, greedy, implementation
Correct Solution:
```
r, c = map(int, input().split(' '))
arr = []
ops = []
num_ops = 0
for i in range(r):
arr.append(list(map(int, input().split(' '))))
s1, s2 = "row ", "col "
if r > c:
arr1 = []
for i in range(c):
arr1.append([0]*r)
for i in range(r):
for j in range(c):
arr1[j][i] = arr[i][j]
r, c = c, r
s1, s2 = s2, s1
arr = arr1
for i in range(r):
m = min(arr[i])
if m > 0:
arr[i] = [x -m for x in arr[i]]
ops.append((0, i, m))
num_ops += m
possible = True
for i in range(c):
a = arr[0][i]
for j in range(1, r):
if arr[j][i] != a:
possible = False
break
if possible == False:
break
if a > 0:
ops.append((1, i, a))
num_ops += a
if possible:
print(num_ops)
for i in ops:
if i[0] == 0:
for k in range(i[2]):
print(s1 + str(i[1]+1))
else:
for k in range(i[2]):
print(s2 + str(i[1]+1))
else:
print(-1)
``` | output | 1 | 77,260 | 15 | 154,521 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
On the way to school, Karen became fixated on the puzzle game on her phone!
<image>
The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.
One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.
To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.
Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!
Input
The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.
The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).
Output
If there is an error and it is actually not possible to beat the level, output a single integer -1.
Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.
The next k lines should each contain one of the following, describing the moves in the order they must be done:
* row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row".
* col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column".
If there are multiple optimal solutions, output any one of them.
Examples
Input
3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1
Output
4
row 1
row 1
col 4
row 3
Input
3 3
0 0 0
0 1 0
0 0 0
Output
-1
Input
3 3
1 1 1
1 1 1
1 1 1
Output
3
row 1
row 2
row 3
Note
In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:
<image>
In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.
In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:
<image>
Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3.
Submitted Solution:
```
n, m = map(int,input().split())
table = list()
table_T = list()
for i in range(n):
table.append(list(map(int,input().split())))
for i in range(m):
a = [table[j][i] for j in range(n)]
table_T.append(a)
OUT = list()
if n <= m:
a = 0
while a < n:
is_0 = False
for i in table[a]:
if i == 0:
is_0 = True
break
if is_0 == False:
b = min(table[a])
OUT.extend(['row {0}'.format(a+1)]*b)
for i in range(m):
table[a][i] -= b
table_T[i][a] -= b
else:
a += 1
a = 0
while a < m:
is_0 = False
for i in table_T[a]:
if i == 0:
is_0 = True
break
if is_0 == False:
b = min(table_T[a])
OUT.extend(['col {0}'.format(a+1)]*b)
for i in range(n):
table[i][a] -= b
table_T[a][i] -= b
else:
a += 1
else:
a = 0
while a < m:
is_0 = False
for i in table_T[a]:
if i == 0:
is_0 = True
break
if is_0 == False:
b = min(table_T[a])
OUT.extend(['col {0}'.format(a + 1)]*b)
for i in range(n):
table[i][a] -= b
table_T[a][i] -= b
else:
a += 1
a = 0
while a < n:
is_0 = False
for i in table[a]:
if i == 0:
is_0 = True
break
if is_0 == False:
b = min(table[a])
OUT.extend(['row {0}'.format(a + 1)] * b)
for i in range(m):
table[a][i] -= b
table_T[i][a] -= b
else:
a += 1
fail = False
for i in range(n):
if sum(table[i]) != 0:
fail = True
break
if fail != True:
print(len(OUT))
for i in OUT:
print(i)
else:
print(-1)
``` | instruction | 0 | 77,261 | 15 | 154,522 |
Yes | output | 1 | 77,261 | 15 | 154,523 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
On the way to school, Karen became fixated on the puzzle game on her phone!
<image>
The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.
One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.
To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.
Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!
Input
The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.
The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).
Output
If there is an error and it is actually not possible to beat the level, output a single integer -1.
Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.
The next k lines should each contain one of the following, describing the moves in the order they must be done:
* row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row".
* col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column".
If there are multiple optimal solutions, output any one of them.
Examples
Input
3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1
Output
4
row 1
row 1
col 4
row 3
Input
3 3
0 0 0
0 1 0
0 0 0
Output
-1
Input
3 3
1 1 1
1 1 1
1 1 1
Output
3
row 1
row 2
row 3
Note
In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:
<image>
In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.
In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:
<image>
Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3.
Submitted Solution:
```
read = lambda: map(int, input().split())
def fail():
print(-1)
exit()
n, m = read()
g = [list(read()) for i in range(n)]
a = [g[i][0] - g[0][0] for i in range(n)]
b = [g[0][i] - g[0][0] for i in range(m)]
for i in range(n):
for j in range(1, m):
if g[i][j] - g[i][0] != b[j]: fail()
for j in range(m):
for i in range(1, n):
if g[i][j] - g[0][j] != a[i]: fail()
mn = min(min(i) for i in g)
mb = min(b)
for i in range(m): b[i] -= mb
ma = min(a)
for i in range(n): a[i] -= ma
if n < m:
for i in range(n): a[i] += mn
else:
for i in range(m): b[i] += mn
print(sum(a) + sum(b))
[print('row', i + 1) for i in range(n) for j in range(a[i])]
[print('col', i + 1) for i in range(m) for j in range(b[i])]
``` | instruction | 0 | 77,262 | 15 | 154,524 |
Yes | output | 1 | 77,262 | 15 | 154,525 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
On the way to school, Karen became fixated on the puzzle game on her phone!
<image>
The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.
One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.
To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.
Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!
Input
The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.
The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).
Output
If there is an error and it is actually not possible to beat the level, output a single integer -1.
Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.
The next k lines should each contain one of the following, describing the moves in the order they must be done:
* row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row".
* col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column".
If there are multiple optimal solutions, output any one of them.
Examples
Input
3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1
Output
4
row 1
row 1
col 4
row 3
Input
3 3
0 0 0
0 1 0
0 0 0
Output
-1
Input
3 3
1 1 1
1 1 1
1 1 1
Output
3
row 1
row 2
row 3
Note
In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:
<image>
In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.
In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:
<image>
Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3.
Submitted Solution:
```
n, m = list(map(int, input().split()))
a = [list(map(int, input().split())) for _ in range(n)]
r = [a[i][0] - a[0][0] for i in range(n)]
c = [a[0][i] - a[0][0] for i in range(m)]
t = min(r)
r = [x - t for x in r]
t = min(c)
c = [x - t for x in c]
p = a[0][0] - r[0] - c[0]
if n < m:
r = [x + p for x in r]
else:
c = [x + p for x in c]
for i in range(n):
for j in range(m):
if r[i] + c[j] != a[i][j]:
print (-1)
quit()
print (sum(r) + sum(c))
for i, x in enumerate(r):
for j in range(x):
print ("row", i + 1)
for i, x in enumerate(c):
for j in range(x):
print ("col", i + 1)
# Made By Mostafa_Khaled
``` | instruction | 0 | 77,263 | 15 | 154,526 |
Yes | output | 1 | 77,263 | 15 | 154,527 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
On the way to school, Karen became fixated on the puzzle game on her phone!
<image>
The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.
One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.
To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.
Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!
Input
The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.
The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).
Output
If there is an error and it is actually not possible to beat the level, output a single integer -1.
Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.
The next k lines should each contain one of the following, describing the moves in the order they must be done:
* row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row".
* col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column".
If there are multiple optimal solutions, output any one of them.
Examples
Input
3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1
Output
4
row 1
row 1
col 4
row 3
Input
3 3
0 0 0
0 1 0
0 0 0
Output
-1
Input
3 3
1 1 1
1 1 1
1 1 1
Output
3
row 1
row 2
row 3
Note
In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:
<image>
In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.
In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:
<image>
Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3.
Submitted Solution:
```
#------------------------template--------------------------#
import os
import sys
from math import *
from collections import *
# from fractions import *
from heapq import*
from bisect import *
from io import BytesIO, IOBase
def vsInput():
sys.stdin = open('input.txt', 'r')
sys.stdout = open('output.txt', 'w')
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = "x" in file.mode or "r" not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b"\n") + (not b)
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
os.write(self._fd, self.buffer.getvalue())
self.buffer.truncate(0), self.buffer.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode("ascii"))
self.read = lambda: self.buffer.read().decode("ascii")
self.readline = lambda: self.buffer.readline().decode("ascii")
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")
ALPHA='abcdefghijklmnopqrstuvwxyz/'
M=1000000007
EPS=1e-6
def Ceil(a,b): return a//b+int(a%b>0)
def value():return tuple(map(int,input().split()))
def array():return [int(i) for i in input().split()]
def Int():return int(input())
def Str():return input()
def arrayS():return [i for i in input().split()]
#-------------------------code---------------------------#
# vsInput()
r,c=value()
a=[]
for i in range(r): a.append(array())
row=[0]*r
col=[0]*c
steps=inf
final_row=[]
final_col=[]
for r1 in range(501):
row[0]=r1
ok=True
for i in range(c):
col[i]=a[0][i]-row[0]
if(col[i]<0): ok=False
for i in range(1,r):
row[i]=inf
for j in range(c):
here=a[i][j]-col[j]
if(row[i]==inf): row[i]=here
elif(row[i]!=here): ok=False
if(row[i]<0): ok=False
if(ok):
ans=sum(row)
ans+=sum(col)
if(ans<steps):
steps=ans
final_row=row[::]
final_col=col[::]
if(steps==inf): print(-1)
else:
print(steps)
for i in range(r):
for j in range(final_row[i]): print('row',i+1)
for i in range(c):
for j in range(final_col[i]): print('col',i+1)
``` | instruction | 0 | 77,264 | 15 | 154,528 |
Yes | output | 1 | 77,264 | 15 | 154,529 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
On the way to school, Karen became fixated on the puzzle game on her phone!
<image>
The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.
One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.
To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.
Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!
Input
The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.
The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).
Output
If there is an error and it is actually not possible to beat the level, output a single integer -1.
Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.
The next k lines should each contain one of the following, describing the moves in the order they must be done:
* row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row".
* col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column".
If there are multiple optimal solutions, output any one of them.
Examples
Input
3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1
Output
4
row 1
row 1
col 4
row 3
Input
3 3
0 0 0
0 1 0
0 0 0
Output
-1
Input
3 3
1 1 1
1 1 1
1 1 1
Output
3
row 1
row 2
row 3
Note
In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:
<image>
In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.
In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:
<image>
Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3.
Submitted Solution:
```
n,m=map(int,input().split())
a=[]
ans=[]
for i in range (n):
a.append(list(map(int,input().split())))
for i in range (n):
mn=min(a[i])
for j in range (m):
a[i][j]-=mn
if(mn>0):
ans.append(['row',i,mn])
for i in range (m):
mn=1000
for j in range (n):
if(a[j][i]<mn):
mn=a[j][i]
for j in range (n):
a[j][i]-=mn
if(mn>0):
ans.append(['col',i,mn])
if(sum(sum(k) for k in a)!=0):
print(-1)
else:
count=0
for i in ans:
count+=i[2]
print(count)
for i in ans:
for j in range (i[2]):
print(i[0],i[1]+1,sep=" ")
``` | instruction | 0 | 77,265 | 15 | 154,530 |
No | output | 1 | 77,265 | 15 | 154,531 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
On the way to school, Karen became fixated on the puzzle game on her phone!
<image>
The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.
One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.
To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.
Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!
Input
The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.
The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).
Output
If there is an error and it is actually not possible to beat the level, output a single integer -1.
Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.
The next k lines should each contain one of the following, describing the moves in the order they must be done:
* row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row".
* col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column".
If there are multiple optimal solutions, output any one of them.
Examples
Input
3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1
Output
4
row 1
row 1
col 4
row 3
Input
3 3
0 0 0
0 1 0
0 0 0
Output
-1
Input
3 3
1 1 1
1 1 1
1 1 1
Output
3
row 1
row 2
row 3
Note
In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:
<image>
In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.
In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:
<image>
Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3.
Submitted Solution:
```
n, m = map(int, input().split())
g = list()
moves = list()
for _ in range(n):
g.append(list(map(int, input().split())))
for i in range(n):
while min(g[i]) > 0:
for j in range(m):
g[i][j] -= 1
moves.append('row {}'.format(i+1))
g = list(map(list, zip(*g)))
for i in range(m):
while min(g[i]) > 0:
for j in range(n):
g[i][j] -= 1
moves.append('col {}'.format(i+1))
for c in g:
if any(c):
moves = ['-1']
print('\n'.join(moves))
``` | instruction | 0 | 77,266 | 15 | 154,532 |
No | output | 1 | 77,266 | 15 | 154,533 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
On the way to school, Karen became fixated on the puzzle game on her phone!
<image>
The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.
One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.
To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.
Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!
Input
The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.
The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).
Output
If there is an error and it is actually not possible to beat the level, output a single integer -1.
Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.
The next k lines should each contain one of the following, describing the moves in the order they must be done:
* row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row".
* col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column".
If there are multiple optimal solutions, output any one of them.
Examples
Input
3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1
Output
4
row 1
row 1
col 4
row 3
Input
3 3
0 0 0
0 1 0
0 0 0
Output
-1
Input
3 3
1 1 1
1 1 1
1 1 1
Output
3
row 1
row 2
row 3
Note
In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:
<image>
In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.
In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:
<image>
Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3.
Submitted Solution:
```
n,m=input().split()
n=int(n)
m=int(m)
a=[]
for i in range(n):
x=input().split()
x=[int(p) for p in x]
a.append(x)
if n<=m:
ans=''
step=0
for i in range(n):
t=500
for j in range(m):
t=min(t,a[i][j])
ans+=('row'+' '+str(i+1)+'\n')*t
step+=t
for j in range(m):
a[i][j]-=t
can=True
for j in range(m):
t=a[0][j]
for i in range(n):
if a[i][j]!=t:
can=False
ans+=('col'+' '+str(j+1)+'\n')*t
if can:
print(step)
print(ans)
else:
print(-1)
else:
ans=''
for j in range(m):
t=500
for i in range(n):
t=min(t,a[i][j])
ans+=('col'+' '+str(j+1)+'\n')*t
step+=t
for i in range(n):
a[i][j]-=t
can=True
for i in range(n):
t=a[i][0]
for i in range(m):
if a[i][j]!=t:
can=False
ans+=('row'+' '+str(i+1)+'\n')*t
if can:
print(step)
print(ans)
else:
print(-1)
``` | instruction | 0 | 77,267 | 15 | 154,534 |
No | output | 1 | 77,267 | 15 | 154,535 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
On the way to school, Karen became fixated on the puzzle game on her phone!
<image>
The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.
One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.
To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.
Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!
Input
The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.
The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).
Output
If there is an error and it is actually not possible to beat the level, output a single integer -1.
Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.
The next k lines should each contain one of the following, describing the moves in the order they must be done:
* row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row".
* col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column".
If there are multiple optimal solutions, output any one of them.
Examples
Input
3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1
Output
4
row 1
row 1
col 4
row 3
Input
3 3
0 0 0
0 1 0
0 0 0
Output
-1
Input
3 3
1 1 1
1 1 1
1 1 1
Output
3
row 1
row 2
row 3
Note
In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:
<image>
In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.
In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:
<image>
Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3.
Submitted Solution:
```
n, m = map(int, input().split())
table = [list(map(int, input().split())) for i in range(n)]
anslst = []
for i in range(n):
minv = min(table[i])
for v in range(minv):
anslst.append("row {}".format(i + 1))
for j in range(m):
table[i][j] -= minv
for j in range(m):
minv = 1e9
for i in range(n):
minv = min(minv, table[i][j])
for v in range(minv):
anslst.append("col {}".format(j + 1))
for i in range(n):
table[i][j] -= minv
flg = True
for i in range(n):
for j in range(m):
if table[i][j] != 0:
flg = False
if flg:
print(len(anslst))
for ans in anslst:
print(ans)
else:
print(-1)
``` | instruction | 0 | 77,268 | 15 | 154,536 |
No | output | 1 | 77,268 | 15 | 154,537 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0, 0). The robot can process commands. There are four types of commands it can perform:
* U — move from the cell (x, y) to (x, y + 1);
* D — move from (x, y) to (x, y - 1);
* L — move from (x, y) to (x - 1, y);
* R — move from (x, y) to (x + 1, y).
Ivan entered a sequence of n commands, and the robot processed it. After this sequence the robot ended up in the starting cell (0, 0), but Ivan doubts that the sequence is such that after performing it correctly the robot ends up in the same cell. He thinks that some commands were ignored by robot. To acknowledge whether the robot is severely bugged, he needs to calculate the maximum possible number of commands that were performed correctly. Help Ivan to do the calculations!
Input
The first line contains one number n — the length of sequence of commands entered by Ivan (1 ≤ n ≤ 100).
The second line contains the sequence itself — a string consisting of n characters. Each character can be U, D, L or R.
Output
Print the maximum possible number of commands from the sequence the robot could perform to end up in the starting cell.
Examples
Input
4
LDUR
Output
4
Input
5
RRRUU
Output
0
Input
6
LLRRRR
Output
4 | instruction | 0 | 77,289 | 15 | 154,578 |
Tags: greedy
Correct Solution:
```
n = int(input())
s = input()
print(n - (abs(s.count('R') - s.count('L')) + abs(s.count('D') - s.count('U'))))
``` | output | 1 | 77,289 | 15 | 154,579 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0, 0). The robot can process commands. There are four types of commands it can perform:
* U — move from the cell (x, y) to (x, y + 1);
* D — move from (x, y) to (x, y - 1);
* L — move from (x, y) to (x - 1, y);
* R — move from (x, y) to (x + 1, y).
Ivan entered a sequence of n commands, and the robot processed it. After this sequence the robot ended up in the starting cell (0, 0), but Ivan doubts that the sequence is such that after performing it correctly the robot ends up in the same cell. He thinks that some commands were ignored by robot. To acknowledge whether the robot is severely bugged, he needs to calculate the maximum possible number of commands that were performed correctly. Help Ivan to do the calculations!
Input
The first line contains one number n — the length of sequence of commands entered by Ivan (1 ≤ n ≤ 100).
The second line contains the sequence itself — a string consisting of n characters. Each character can be U, D, L or R.
Output
Print the maximum possible number of commands from the sequence the robot could perform to end up in the starting cell.
Examples
Input
4
LDUR
Output
4
Input
5
RRRUU
Output
0
Input
6
LLRRRR
Output
4 | instruction | 0 | 77,290 | 15 | 154,580 |
Tags: greedy
Correct Solution:
```
# U D L R
n = int(input())
s = input()
t = [s.count('U'), s.count('D'), s.count('L'), s.count('R')]
q = min(t[0], t[1]) * 2 + min(t[2], t[3]) * 2
print(q)
``` | output | 1 | 77,290 | 15 | 154,581 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0, 0). The robot can process commands. There are four types of commands it can perform:
* U — move from the cell (x, y) to (x, y + 1);
* D — move from (x, y) to (x, y - 1);
* L — move from (x, y) to (x - 1, y);
* R — move from (x, y) to (x + 1, y).
Ivan entered a sequence of n commands, and the robot processed it. After this sequence the robot ended up in the starting cell (0, 0), but Ivan doubts that the sequence is such that after performing it correctly the robot ends up in the same cell. He thinks that some commands were ignored by robot. To acknowledge whether the robot is severely bugged, he needs to calculate the maximum possible number of commands that were performed correctly. Help Ivan to do the calculations!
Input
The first line contains one number n — the length of sequence of commands entered by Ivan (1 ≤ n ≤ 100).
The second line contains the sequence itself — a string consisting of n characters. Each character can be U, D, L or R.
Output
Print the maximum possible number of commands from the sequence the robot could perform to end up in the starting cell.
Examples
Input
4
LDUR
Output
4
Input
5
RRRUU
Output
0
Input
6
LLRRRR
Output
4 | instruction | 0 | 77,291 | 15 | 154,582 |
Tags: greedy
Correct Solution:
```
moves = int(input())
comms = input()
x = 0
y = 0
for i in comms:
if i == "L":x-=1
if i == "R":x+=1
if i == "U":y+=1
if i == "D":y-=1
print(moves - (abs(x) + abs(y)))
``` | output | 1 | 77,291 | 15 | 154,583 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0, 0). The robot can process commands. There are four types of commands it can perform:
* U — move from the cell (x, y) to (x, y + 1);
* D — move from (x, y) to (x, y - 1);
* L — move from (x, y) to (x - 1, y);
* R — move from (x, y) to (x + 1, y).
Ivan entered a sequence of n commands, and the robot processed it. After this sequence the robot ended up in the starting cell (0, 0), but Ivan doubts that the sequence is such that after performing it correctly the robot ends up in the same cell. He thinks that some commands were ignored by robot. To acknowledge whether the robot is severely bugged, he needs to calculate the maximum possible number of commands that were performed correctly. Help Ivan to do the calculations!
Input
The first line contains one number n — the length of sequence of commands entered by Ivan (1 ≤ n ≤ 100).
The second line contains the sequence itself — a string consisting of n characters. Each character can be U, D, L or R.
Output
Print the maximum possible number of commands from the sequence the robot could perform to end up in the starting cell.
Examples
Input
4
LDUR
Output
4
Input
5
RRRUU
Output
0
Input
6
LLRRRR
Output
4 | instruction | 0 | 77,292 | 15 | 154,584 |
Tags: greedy
Correct Solution:
```
def main():
n = int(input())
s = input()
print(2 * min(s.count('L'), s.count('R')) + 2 * min(s.count('U'), s.count('D')))
main()
``` | output | 1 | 77,292 | 15 | 154,585 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0, 0). The robot can process commands. There are four types of commands it can perform:
* U — move from the cell (x, y) to (x, y + 1);
* D — move from (x, y) to (x, y - 1);
* L — move from (x, y) to (x - 1, y);
* R — move from (x, y) to (x + 1, y).
Ivan entered a sequence of n commands, and the robot processed it. After this sequence the robot ended up in the starting cell (0, 0), but Ivan doubts that the sequence is such that after performing it correctly the robot ends up in the same cell. He thinks that some commands were ignored by robot. To acknowledge whether the robot is severely bugged, he needs to calculate the maximum possible number of commands that were performed correctly. Help Ivan to do the calculations!
Input
The first line contains one number n — the length of sequence of commands entered by Ivan (1 ≤ n ≤ 100).
The second line contains the sequence itself — a string consisting of n characters. Each character can be U, D, L or R.
Output
Print the maximum possible number of commands from the sequence the robot could perform to end up in the starting cell.
Examples
Input
4
LDUR
Output
4
Input
5
RRRUU
Output
0
Input
6
LLRRRR
Output
4 | instruction | 0 | 77,293 | 15 | 154,586 |
Tags: greedy
Correct Solution:
```
n = int(input())
s = input()
x = 2*min(s.count('L'),s.count('R'))
y = 2*min(s.count('U'),s.count('D'))
print(x+y)
``` | output | 1 | 77,293 | 15 | 154,587 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0, 0). The robot can process commands. There are four types of commands it can perform:
* U — move from the cell (x, y) to (x, y + 1);
* D — move from (x, y) to (x, y - 1);
* L — move from (x, y) to (x - 1, y);
* R — move from (x, y) to (x + 1, y).
Ivan entered a sequence of n commands, and the robot processed it. After this sequence the robot ended up in the starting cell (0, 0), but Ivan doubts that the sequence is such that after performing it correctly the robot ends up in the same cell. He thinks that some commands were ignored by robot. To acknowledge whether the robot is severely bugged, he needs to calculate the maximum possible number of commands that were performed correctly. Help Ivan to do the calculations!
Input
The first line contains one number n — the length of sequence of commands entered by Ivan (1 ≤ n ≤ 100).
The second line contains the sequence itself — a string consisting of n characters. Each character can be U, D, L or R.
Output
Print the maximum possible number of commands from the sequence the robot could perform to end up in the starting cell.
Examples
Input
4
LDUR
Output
4
Input
5
RRRUU
Output
0
Input
6
LLRRRR
Output
4 | instruction | 0 | 77,294 | 15 | 154,588 |
Tags: greedy
Correct Solution:
```
n = int(input());
s = input();
u = 0;
d = 0;
r = 0;
l = 0;
for q in range(n):
if s[q] == 'L':
l = l + 1;
elif s[q] == 'R':
r = r + 1;
elif s[q] == 'U':
u = u + 1;
elif s[q] == 'D':
d = d + 1;
print(min(r, l) * 2 + min(u, d) * 2);
``` | output | 1 | 77,294 | 15 | 154,589 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0, 0). The robot can process commands. There are four types of commands it can perform:
* U — move from the cell (x, y) to (x, y + 1);
* D — move from (x, y) to (x, y - 1);
* L — move from (x, y) to (x - 1, y);
* R — move from (x, y) to (x + 1, y).
Ivan entered a sequence of n commands, and the robot processed it. After this sequence the robot ended up in the starting cell (0, 0), but Ivan doubts that the sequence is such that after performing it correctly the robot ends up in the same cell. He thinks that some commands were ignored by robot. To acknowledge whether the robot is severely bugged, he needs to calculate the maximum possible number of commands that were performed correctly. Help Ivan to do the calculations!
Input
The first line contains one number n — the length of sequence of commands entered by Ivan (1 ≤ n ≤ 100).
The second line contains the sequence itself — a string consisting of n characters. Each character can be U, D, L or R.
Output
Print the maximum possible number of commands from the sequence the robot could perform to end up in the starting cell.
Examples
Input
4
LDUR
Output
4
Input
5
RRRUU
Output
0
Input
6
LLRRRR
Output
4 | instruction | 0 | 77,295 | 15 | 154,590 |
Tags: greedy
Correct Solution:
```
#B
n=int(input())
a=input()
link=[0]*4
for i in range(n):
if a[i]=="R":
link[0]+=1
elif a[i]=="L":
link[1]+=1
elif a[i]=="U":
link[2]+=1
elif a[i]=="D":
link[3]+=1
counter=(min(link[0],link[1])+min(link[2],link[3]))*2
print(counter)
``` | output | 1 | 77,295 | 15 | 154,591 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0, 0). The robot can process commands. There are four types of commands it can perform:
* U — move from the cell (x, y) to (x, y + 1);
* D — move from (x, y) to (x, y - 1);
* L — move from (x, y) to (x - 1, y);
* R — move from (x, y) to (x + 1, y).
Ivan entered a sequence of n commands, and the robot processed it. After this sequence the robot ended up in the starting cell (0, 0), but Ivan doubts that the sequence is such that after performing it correctly the robot ends up in the same cell. He thinks that some commands were ignored by robot. To acknowledge whether the robot is severely bugged, he needs to calculate the maximum possible number of commands that were performed correctly. Help Ivan to do the calculations!
Input
The first line contains one number n — the length of sequence of commands entered by Ivan (1 ≤ n ≤ 100).
The second line contains the sequence itself — a string consisting of n characters. Each character can be U, D, L or R.
Output
Print the maximum possible number of commands from the sequence the robot could perform to end up in the starting cell.
Examples
Input
4
LDUR
Output
4
Input
5
RRRUU
Output
0
Input
6
LLRRRR
Output
4 | instruction | 0 | 77,296 | 15 | 154,592 |
Tags: greedy
Correct Solution:
```
def robot(string):
if "U" in string and "D" in string and "R" in string and "L" in string:
return min(string.count("U"), string.count("D")) * 2 + min(string.count("R"), string.count("L")) * 2
if "U" in string and "D" in string:
return min(string.count("U"),string.count("D"))*2
if "R" in string and "L" in string:
return min(string.count("R"),string.count("L"))*2
if "U" in string and "D" not in string:
return 0
if "D" in string and "U" not in string:
return 0
if "R" in string and "L" not in string:
return 0
if "L" in string and "R" not in string:
return 0
t=int(input())
print(robot(input()))
``` | output | 1 | 77,296 | 15 | 154,593 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0, 0). The robot can process commands. There are four types of commands it can perform:
* U — move from the cell (x, y) to (x, y + 1);
* D — move from (x, y) to (x, y - 1);
* L — move from (x, y) to (x - 1, y);
* R — move from (x, y) to (x + 1, y).
Ivan entered a sequence of n commands, and the robot processed it. After this sequence the robot ended up in the starting cell (0, 0), but Ivan doubts that the sequence is such that after performing it correctly the robot ends up in the same cell. He thinks that some commands were ignored by robot. To acknowledge whether the robot is severely bugged, he needs to calculate the maximum possible number of commands that were performed correctly. Help Ivan to do the calculations!
Input
The first line contains one number n — the length of sequence of commands entered by Ivan (1 ≤ n ≤ 100).
The second line contains the sequence itself — a string consisting of n characters. Each character can be U, D, L or R.
Output
Print the maximum possible number of commands from the sequence the robot could perform to end up in the starting cell.
Examples
Input
4
LDUR
Output
4
Input
5
RRRUU
Output
0
Input
6
LLRRRR
Output
4
Submitted Solution:
```
n = int(input())
commands = input()
left = r = u = d = 0
for c in commands:
if c == "L":
left += 1
elif c == "D":
d += 1
elif c == "U":
u += 1
else:
r += 1
print(n - (abs(left - r) + abs(u - d)))
``` | instruction | 0 | 77,297 | 15 | 154,594 |
Yes | output | 1 | 77,297 | 15 | 154,595 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0, 0). The robot can process commands. There are four types of commands it can perform:
* U — move from the cell (x, y) to (x, y + 1);
* D — move from (x, y) to (x, y - 1);
* L — move from (x, y) to (x - 1, y);
* R — move from (x, y) to (x + 1, y).
Ivan entered a sequence of n commands, and the robot processed it. After this sequence the robot ended up in the starting cell (0, 0), but Ivan doubts that the sequence is such that after performing it correctly the robot ends up in the same cell. He thinks that some commands were ignored by robot. To acknowledge whether the robot is severely bugged, he needs to calculate the maximum possible number of commands that were performed correctly. Help Ivan to do the calculations!
Input
The first line contains one number n — the length of sequence of commands entered by Ivan (1 ≤ n ≤ 100).
The second line contains the sequence itself — a string consisting of n characters. Each character can be U, D, L or R.
Output
Print the maximum possible number of commands from the sequence the robot could perform to end up in the starting cell.
Examples
Input
4
LDUR
Output
4
Input
5
RRRUU
Output
0
Input
6
LLRRRR
Output
4
Submitted Solution:
```
n=int(input())
l=input()
xs=0
ys=0
print(2*(min(l.count('U'),l.count('D'))+min(l.count('L'),l. count('R'))))
``` | instruction | 0 | 77,298 | 15 | 154,596 |
Yes | output | 1 | 77,298 | 15 | 154,597 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0, 0). The robot can process commands. There are four types of commands it can perform:
* U — move from the cell (x, y) to (x, y + 1);
* D — move from (x, y) to (x, y - 1);
* L — move from (x, y) to (x - 1, y);
* R — move from (x, y) to (x + 1, y).
Ivan entered a sequence of n commands, and the robot processed it. After this sequence the robot ended up in the starting cell (0, 0), but Ivan doubts that the sequence is such that after performing it correctly the robot ends up in the same cell. He thinks that some commands were ignored by robot. To acknowledge whether the robot is severely bugged, he needs to calculate the maximum possible number of commands that were performed correctly. Help Ivan to do the calculations!
Input
The first line contains one number n — the length of sequence of commands entered by Ivan (1 ≤ n ≤ 100).
The second line contains the sequence itself — a string consisting of n characters. Each character can be U, D, L or R.
Output
Print the maximum possible number of commands from the sequence the robot could perform to end up in the starting cell.
Examples
Input
4
LDUR
Output
4
Input
5
RRRUU
Output
0
Input
6
LLRRRR
Output
4
Submitted Solution:
```
n = int(input())
s = input()
l,r =0,0
for i in range(n):
if s[i]=='U':
r+=1
elif s[i]=='D':
r-=1
elif s[i]=='L':
l-=1
elif s[i]=='R':
l+=1
print(n-(abs(l)+abs(r)))
``` | instruction | 0 | 77,299 | 15 | 154,598 |
Yes | output | 1 | 77,299 | 15 | 154,599 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0, 0). The robot can process commands. There are four types of commands it can perform:
* U — move from the cell (x, y) to (x, y + 1);
* D — move from (x, y) to (x, y - 1);
* L — move from (x, y) to (x - 1, y);
* R — move from (x, y) to (x + 1, y).
Ivan entered a sequence of n commands, and the robot processed it. After this sequence the robot ended up in the starting cell (0, 0), but Ivan doubts that the sequence is such that after performing it correctly the robot ends up in the same cell. He thinks that some commands were ignored by robot. To acknowledge whether the robot is severely bugged, he needs to calculate the maximum possible number of commands that were performed correctly. Help Ivan to do the calculations!
Input
The first line contains one number n — the length of sequence of commands entered by Ivan (1 ≤ n ≤ 100).
The second line contains the sequence itself — a string consisting of n characters. Each character can be U, D, L or R.
Output
Print the maximum possible number of commands from the sequence the robot could perform to end up in the starting cell.
Examples
Input
4
LDUR
Output
4
Input
5
RRRUU
Output
0
Input
6
LLRRRR
Output
4
Submitted Solution:
```
f = lambda q: 2 * min(t.count(q[0]), t.count(q[1]))
input()
t = input()
print(f('UD') + f('LR'))
``` | instruction | 0 | 77,300 | 15 | 154,600 |
Yes | output | 1 | 77,300 | 15 | 154,601 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0, 0). The robot can process commands. There are four types of commands it can perform:
* U — move from the cell (x, y) to (x, y + 1);
* D — move from (x, y) to (x, y - 1);
* L — move from (x, y) to (x - 1, y);
* R — move from (x, y) to (x + 1, y).
Ivan entered a sequence of n commands, and the robot processed it. After this sequence the robot ended up in the starting cell (0, 0), but Ivan doubts that the sequence is such that after performing it correctly the robot ends up in the same cell. He thinks that some commands were ignored by robot. To acknowledge whether the robot is severely bugged, he needs to calculate the maximum possible number of commands that were performed correctly. Help Ivan to do the calculations!
Input
The first line contains one number n — the length of sequence of commands entered by Ivan (1 ≤ n ≤ 100).
The second line contains the sequence itself — a string consisting of n characters. Each character can be U, D, L or R.
Output
Print the maximum possible number of commands from the sequence the robot could perform to end up in the starting cell.
Examples
Input
4
LDUR
Output
4
Input
5
RRRUU
Output
0
Input
6
LLRRRR
Output
4
Submitted Solution:
```
def ch(a, b):
if ((a == 'R' and b == 'L') or
(a == 'L' and b == 'R') or
(a == 'U' and b == 'D') or
(a == 'D' and b == 'U')):
return 1
return 0
a = int(input())
s = input()
b = 0
c = 1
while c:
c = 0
for i in range(len(s) - 1):
if ch(s[i], s[i + 1]):
b += 2
c = 1
s = s[0:i] + s[i + 2:]
break
print(b)
``` | instruction | 0 | 77,301 | 15 | 154,602 |
No | output | 1 | 77,301 | 15 | 154,603 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0, 0). The robot can process commands. There are four types of commands it can perform:
* U — move from the cell (x, y) to (x, y + 1);
* D — move from (x, y) to (x, y - 1);
* L — move from (x, y) to (x - 1, y);
* R — move from (x, y) to (x + 1, y).
Ivan entered a sequence of n commands, and the robot processed it. After this sequence the robot ended up in the starting cell (0, 0), but Ivan doubts that the sequence is such that after performing it correctly the robot ends up in the same cell. He thinks that some commands were ignored by robot. To acknowledge whether the robot is severely bugged, he needs to calculate the maximum possible number of commands that were performed correctly. Help Ivan to do the calculations!
Input
The first line contains one number n — the length of sequence of commands entered by Ivan (1 ≤ n ≤ 100).
The second line contains the sequence itself — a string consisting of n characters. Each character can be U, D, L or R.
Output
Print the maximum possible number of commands from the sequence the robot could perform to end up in the starting cell.
Examples
Input
4
LDUR
Output
4
Input
5
RRRUU
Output
0
Input
6
LLRRRR
Output
4
Submitted Solution:
```
def BuggyRobot(n,seq):
cnt=0
x=0
y=0
for s in seq:
if s== 'U':
y+=1
elif s== 'D':
y-=1
elif s== 'L':
x-=1
else:
x+=1
if x==0 and y==0:
cnt=0
else:
cnt+=1
return n-cnt
n=int(input())
seq=input()
print(BuggyRobot(n,seq))
``` | instruction | 0 | 77,302 | 15 | 154,604 |
No | output | 1 | 77,302 | 15 | 154,605 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0, 0). The robot can process commands. There are four types of commands it can perform:
* U — move from the cell (x, y) to (x, y + 1);
* D — move from (x, y) to (x, y - 1);
* L — move from (x, y) to (x - 1, y);
* R — move from (x, y) to (x + 1, y).
Ivan entered a sequence of n commands, and the robot processed it. After this sequence the robot ended up in the starting cell (0, 0), but Ivan doubts that the sequence is such that after performing it correctly the robot ends up in the same cell. He thinks that some commands were ignored by robot. To acknowledge whether the robot is severely bugged, he needs to calculate the maximum possible number of commands that were performed correctly. Help Ivan to do the calculations!
Input
The first line contains one number n — the length of sequence of commands entered by Ivan (1 ≤ n ≤ 100).
The second line contains the sequence itself — a string consisting of n characters. Each character can be U, D, L or R.
Output
Print the maximum possible number of commands from the sequence the robot could perform to end up in the starting cell.
Examples
Input
4
LDUR
Output
4
Input
5
RRRUU
Output
0
Input
6
LLRRRR
Output
4
Submitted Solution:
```
n = int(input())
s = input()
rec = {"U":(0, 1), "D":(0, -1), "R":(1, 0),"L":(-1, 0)}
p, q = 0, 0
for i in range(n):
p, q = p + rec[s[i]][0], q + rec[s[i]][1]
print(n - p - q)
``` | instruction | 0 | 77,303 | 15 | 154,606 |
No | output | 1 | 77,303 | 15 | 154,607 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0, 0). The robot can process commands. There are four types of commands it can perform:
* U — move from the cell (x, y) to (x, y + 1);
* D — move from (x, y) to (x, y - 1);
* L — move from (x, y) to (x - 1, y);
* R — move from (x, y) to (x + 1, y).
Ivan entered a sequence of n commands, and the robot processed it. After this sequence the robot ended up in the starting cell (0, 0), but Ivan doubts that the sequence is such that after performing it correctly the robot ends up in the same cell. He thinks that some commands were ignored by robot. To acknowledge whether the robot is severely bugged, he needs to calculate the maximum possible number of commands that were performed correctly. Help Ivan to do the calculations!
Input
The first line contains one number n — the length of sequence of commands entered by Ivan (1 ≤ n ≤ 100).
The second line contains the sequence itself — a string consisting of n characters. Each character can be U, D, L or R.
Output
Print the maximum possible number of commands from the sequence the robot could perform to end up in the starting cell.
Examples
Input
4
LDUR
Output
4
Input
5
RRRUU
Output
0
Input
6
LLRRRR
Output
4
Submitted Solution:
```
n = int(input())
a = {'L':0, 'R':0, 'U':0, 'D':0}
s = list(input())
cnt = n
for i in s:
a[i] += 1
now_cc = [0,0]
now_cc[0] += a['U']
now_cc[0] -= a['D']
now_cc[1] += a['R']
now_cc[1] -= a['L']
print(n - now_cc[0] - now_cc[1])
``` | instruction | 0 | 77,304 | 15 | 154,608 |
No | output | 1 | 77,304 | 15 | 154,609 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi, who lives on the number line, is now at coordinate X. He will make exactly K moves of distance D in the positive or negative direction.
More specifically, in one move, he can go from coordinate x to x + D or x - D.
He wants to make K moves so that the absolute value of the coordinate of the destination will be the smallest possible.
Find the minimum possible absolute value of the coordinate of the destination.
Constraints
* -10^{15} \leq X \leq 10^{15}
* 1 \leq K \leq 10^{15}
* 1 \leq D \leq 10^{15}
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
X K D
Output
Print the minimum possible absolute value of the coordinate of the destination.
Examples
Input
6 2 4
Output
2
Input
7 4 3
Output
1
Input
10 1 2
Output
8
Input
1000000000000000 1000000000000000 1000000000000000
Output
1000000000000000 | instruction | 0 | 77,341 | 15 | 154,682 |
"Correct Solution:
```
X,K,D=map(int,input().split())
X=abs(X)
if X/D >= K:
print(X-D*K)
exit()
s = X//D
X -= s*D
K -= s
if K%2 == 0:
print(X)
else:
print(abs(X-D))
``` | output | 1 | 77,341 | 15 | 154,683 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi, who lives on the number line, is now at coordinate X. He will make exactly K moves of distance D in the positive or negative direction.
More specifically, in one move, he can go from coordinate x to x + D or x - D.
He wants to make K moves so that the absolute value of the coordinate of the destination will be the smallest possible.
Find the minimum possible absolute value of the coordinate of the destination.
Constraints
* -10^{15} \leq X \leq 10^{15}
* 1 \leq K \leq 10^{15}
* 1 \leq D \leq 10^{15}
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
X K D
Output
Print the minimum possible absolute value of the coordinate of the destination.
Examples
Input
6 2 4
Output
2
Input
7 4 3
Output
1
Input
10 1 2
Output
8
Input
1000000000000000 1000000000000000 1000000000000000
Output
1000000000000000 | instruction | 0 | 77,342 | 15 | 154,684 |
"Correct Solution:
```
X,K,D=map(int,input().split())
X=abs(X)
if X<=K*D:
if (K-X//D)%2==0:X=X%D
else:X=abs(X%D-D)
else:
X=X-K*D
print(X)
``` | output | 1 | 77,342 | 15 | 154,685 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi, who lives on the number line, is now at coordinate X. He will make exactly K moves of distance D in the positive or negative direction.
More specifically, in one move, he can go from coordinate x to x + D or x - D.
He wants to make K moves so that the absolute value of the coordinate of the destination will be the smallest possible.
Find the minimum possible absolute value of the coordinate of the destination.
Constraints
* -10^{15} \leq X \leq 10^{15}
* 1 \leq K \leq 10^{15}
* 1 \leq D \leq 10^{15}
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
X K D
Output
Print the minimum possible absolute value of the coordinate of the destination.
Examples
Input
6 2 4
Output
2
Input
7 4 3
Output
1
Input
10 1 2
Output
8
Input
1000000000000000 1000000000000000 1000000000000000
Output
1000000000000000 | instruction | 0 | 77,344 | 15 | 154,688 |
"Correct Solution:
```
x,k,d=map(int,input().split())
x=abs(x)
m=min(k,x//d)
k=k-m
if k%2==0:
print(abs(x-m*d))
else:
print(abs(x-(m+1)*d))
``` | output | 1 | 77,344 | 15 | 154,689 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi, who lives on the number line, is now at coordinate X. He will make exactly K moves of distance D in the positive or negative direction.
More specifically, in one move, he can go from coordinate x to x + D or x - D.
He wants to make K moves so that the absolute value of the coordinate of the destination will be the smallest possible.
Find the minimum possible absolute value of the coordinate of the destination.
Constraints
* -10^{15} \leq X \leq 10^{15}
* 1 \leq K \leq 10^{15}
* 1 \leq D \leq 10^{15}
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
X K D
Output
Print the minimum possible absolute value of the coordinate of the destination.
Examples
Input
6 2 4
Output
2
Input
7 4 3
Output
1
Input
10 1 2
Output
8
Input
1000000000000000 1000000000000000 1000000000000000
Output
1000000000000000 | instruction | 0 | 77,345 | 15 | 154,690 |
"Correct Solution:
```
X,K,D = map(int,input().split())
X=abs(X)
if X>=K*D:
print(abs(X-K*D))
else:
print(abs(X-(abs(X)//D+(K-abs(X)//D)%2)*D))
``` | output | 1 | 77,345 | 15 | 154,691 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi, who lives on the number line, is now at coordinate X. He will make exactly K moves of distance D in the positive or negative direction.
More specifically, in one move, he can go from coordinate x to x + D or x - D.
He wants to make K moves so that the absolute value of the coordinate of the destination will be the smallest possible.
Find the minimum possible absolute value of the coordinate of the destination.
Constraints
* -10^{15} \leq X \leq 10^{15}
* 1 \leq K \leq 10^{15}
* 1 \leq D \leq 10^{15}
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
X K D
Output
Print the minimum possible absolute value of the coordinate of the destination.
Examples
Input
6 2 4
Output
2
Input
7 4 3
Output
1
Input
10 1 2
Output
8
Input
1000000000000000 1000000000000000 1000000000000000
Output
1000000000000000 | instruction | 0 | 77,346 | 15 | 154,692 |
"Correct Solution:
```
x,k,d=map(int,input().split())
x=abs(x)
if k*d<=x:print(x-k*d)
else:
f=x//d
x-=f*d
k-=f
if k%2:print(abs(x-d))
else:print(x)
``` | output | 1 | 77,346 | 15 | 154,693 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi, who lives on the number line, is now at coordinate X. He will make exactly K moves of distance D in the positive or negative direction.
More specifically, in one move, he can go from coordinate x to x + D or x - D.
He wants to make K moves so that the absolute value of the coordinate of the destination will be the smallest possible.
Find the minimum possible absolute value of the coordinate of the destination.
Constraints
* -10^{15} \leq X \leq 10^{15}
* 1 \leq K \leq 10^{15}
* 1 \leq D \leq 10^{15}
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
X K D
Output
Print the minimum possible absolute value of the coordinate of the destination.
Examples
Input
6 2 4
Output
2
Input
7 4 3
Output
1
Input
10 1 2
Output
8
Input
1000000000000000 1000000000000000 1000000000000000
Output
1000000000000000 | instruction | 0 | 77,347 | 15 | 154,694 |
"Correct Solution:
```
x,k,d = map(int,input().split())
if abs(x//d) > k:
print(abs(x)-k*d)
else:
if (k-(x//d))%2 == 0:
print(x%d)
else:
print(d-x%d)
``` | output | 1 | 77,347 | 15 | 154,695 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi, who lives on the number line, is now at coordinate X. He will make exactly K moves of distance D in the positive or negative direction.
More specifically, in one move, he can go from coordinate x to x + D or x - D.
He wants to make K moves so that the absolute value of the coordinate of the destination will be the smallest possible.
Find the minimum possible absolute value of the coordinate of the destination.
Constraints
* -10^{15} \leq X \leq 10^{15}
* 1 \leq K \leq 10^{15}
* 1 \leq D \leq 10^{15}
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
X K D
Output
Print the minimum possible absolute value of the coordinate of the destination.
Examples
Input
6 2 4
Output
2
Input
7 4 3
Output
1
Input
10 1 2
Output
8
Input
1000000000000000 1000000000000000 1000000000000000
Output
1000000000000000 | instruction | 0 | 77,348 | 15 | 154,696 |
"Correct Solution:
```
X,K,D=map(int,input().split())
X=abs(X)
straight=min(K,X//D)
K-=straight
X-=straight*D
if K%2==0:
print(X)
else:
print(D-X)
``` | output | 1 | 77,348 | 15 | 154,697 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi, who lives on the number line, is now at coordinate X. He will make exactly K moves of distance D in the positive or negative direction.
More specifically, in one move, he can go from coordinate x to x + D or x - D.
He wants to make K moves so that the absolute value of the coordinate of the destination will be the smallest possible.
Find the minimum possible absolute value of the coordinate of the destination.
Constraints
* -10^{15} \leq X \leq 10^{15}
* 1 \leq K \leq 10^{15}
* 1 \leq D \leq 10^{15}
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
X K D
Output
Print the minimum possible absolute value of the coordinate of the destination.
Examples
Input
6 2 4
Output
2
Input
7 4 3
Output
1
Input
10 1 2
Output
8
Input
1000000000000000 1000000000000000 1000000000000000
Output
1000000000000000
Submitted Solution:
```
x,k,d=map(int,input().split())
x=abs(x)
i=min(x//d,k) if (k-x//d)%2==0 else min(x//d+1,k)
print(abs(x-d*i))
``` | instruction | 0 | 77,349 | 15 | 154,698 |
Yes | output | 1 | 77,349 | 15 | 154,699 |
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