Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = ""
for i in range(N-L+1):
    ans += str(min(A[i:i+L])) + " "
print(ans[:-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = ""
for i in range(N-L+1) : ans += str(min(A[i:i+L])) + " "
print(ans[:-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = []
for i in range(N-L+1) : ans.append(str(min(A[i:i+L])))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq

def h(l):
    heapq.heapify(l)
    return l[0]

[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = []
for i in range(N-L+1) : ans.append(str(h(A[i:i+L])))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = []
for i in range(N-L+1) : ans.append(str(min(A[i:i+L])))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = len(A)//2
    while(True):
        if(left == right):
            if(x[0]<A[left][0]):
                A.insert(left,x)
                break
            else :
                A.insert(left+1,x)
                break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left)//2

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = len(A)//2
    while(True):
        if(left == right):
            if(x[0]<A[left][0]):
                A.insert(left,x)
                break
            else :
                A.insert(left+1,x)
                break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left)//2

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = len(A)//2
    while(True):
        if(left == right):
            if(x[0]<A[left][0]):
                A.insert(left,x)
                break
            else :
                A.insert(left+1,x)
                break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left + 1)//2

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = len(A)//2
    while(True):
        if(left == right):
            if(x[0]<A[left][0]):
                A.insert(left,x)
                break
            else :
                A.insert(left+1,x)
                break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left+1)//2

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = len(A)//2
    while(True):
        if(left == right):
            if(x[0]<A[left][0]):
                A.insert(left,x)
                break
            else :
                A.insert(left+1,x)
                break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left)//2

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = len(A)//2
    while(True):
        if(right - left < 2):
            if(x[0]<A[left][0]):
                A.insert(left,x)
                break
            else :
                A.insert(left+1,x)
                break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left)//2

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = len(A)//2
    while(True):
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right[0]]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left)//2

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = len(A)//2
    while(True):
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left)//2

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = len(A)//2
    while(True):
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left)//2

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = len(A)//2
    while(True):
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left)//2

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = len(A)//2
    while(True):
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left)//2

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = len(A)//2
    while(True):
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left+1)//2

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = len(A)//2
    while(True):
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left)//2

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = 1 + len(A)//2
    while(True):
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left)//2

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = 1 + len(A)//2
    while(True):
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left)//2 + 1

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = 1 + len(A)//2
    while(True):
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left)//2 + 1

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = len(A)//2
    while(True):
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left+1)//2

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = len(A)//2
    while(True):
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre
            elif(A[centre][0] < x[0]) :
                left = centre
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left+1)//2

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1
    while(True):
        center = math.floor((low + high) / 2)
        if(right == left):
            if(x[0]<A[left][0]):
                A.insert(left,x)
                break
            else :
                A.insert(left + 1,x)
                break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
import math

def binaryinsertion(A,x):
    left=0;right=len(A)-1
    while(True):
        center = math.floor((low + high) / 2)
        if(right == left):
            if(x[0]<A[left][0]):
                A.insert(left,x)
                break
            else :
                A.insert(left + 1,x)
                break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
import math

def binaryinsertion(A,x):
    left=0;right=len(A)-1
    while(True):
        center = math.floor((left + right) / 2)
        if(right == left):
            if(x[0]<A[left][0]):
                A.insert(left,x)
                break
            else :
                A.insert(left + 1,x)
                break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import math

def binaryinsertion(A,x):
    left=0;right=len(A)-1
    while(True):
        centre = math.floor((left + right) / 2)
        if(right == left):
            if(x[0]<A[left][0]):
                A.insert(left,x)
                break
            else :
                A.insert(left + 1,x)
                break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = 1 + len(A)//2
    while(True):
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left)//2 + 1

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = 1 + len(A)//2
    while(True):
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left + 1)//2 + 1

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = len(A)//2
    while(True):
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left + 1)//2 + 1

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1;centre = len(A)//2
    while(True):
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break
            centre = left + (right-left + 1)//2

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1
    while(True):
        centre = left + (right-left)//2
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1
    while(True):
        centre = left + (right-left)//2 - 1
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def binaryinsertion(A,x):
    left=0;right=len(A)-1
    while(True):
        centre = left + (right-left)//2 + 1
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
def binaryinsertion(A,x):
    left=0;right=len(A)-1
    while(True):
        if (len(A)==0) :
            A.append(x)
            break
        centre = left + (right-left)//2 - 1
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [str(sweep[0][0])]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(str(sweep[0][0]))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = []
for i in range(N-L+1) : ans.append(str(min(A[i:i+L])))
print(" ".join(ans))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
class Node:
    def __init__(self, x):
        self.data = x
        self.left = None
        self.right = None
        
def search_min(node):
    while node.left is not None:
        node = node.left
    return node.data

def insert(node, x):
    if node is None : return Node(x)
    elif x < node.data :
        node.left = insert(node.left, x)
    else :
        node.right = insert(node.right, x)
    return node

def delete_min(node):
    if node.left is None : return node.right
    node.left = delete_min(node.left)
    return node

def delete(node, x):
    if node is not None :
        if x == node.data :
            if node.left is None :
                return node.right
            elif node.right is None:
                return node.left
            else :
                node.data = search_min(node.right)
                node.right = delete_min(node.right)
        elif x < node.data :
            node.left = delete(node.left, x)
        else :
            node.right = delete(node.right, x)
    return node

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
Tree = None
for i in range(L) : Tree = insert(Tree,A[i])
ANS = [str(search_min(Tree)[0])]

for i in range(L,N):
    Tree = delete(Tree, A[i-L])
    Tree = insert(Tree, A[i])
    ANS.append(str(search_min(Tree)[0]))
    
print(" ".join(ANS))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
class Node:
    def __init__(self, x):
        self.data = x
        self.left = None
        self.right = None
        
def search_min(node):
    while node.left is not None:
        node = node.left
    return node.data

def insert(node, x):
    if node is None : return Node(x)
    elif x < node.data :
        node.left = insert(node.left, x)
    else :
        node.right = insert(node.right, x)
    return node

def delete_min(node):
    if node.left is None : return node.right
    node.left = delete_min(node.left)
    return node

def delete(node, x):
    if node is not None :
        if x == node.data :
            if node.left is None :
                return node.right
            elif node.right is None:
                return node.left
            else :
                node.data = search_min(node.right)
                node.right = delete_min(node.right)
        elif x < node.data :
            node.left = delete(node.left, x)
        else :
            node.right = delete(node.right, x)
    return node

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
Tree = None
for i in range(L) : Tree = insert(Tree,A[i])
ANS = [str(search_min(Tree)[0])]

for i in range(L,N):
    Tree = delete(Tree, A[i-L])
    Tree = insert(Tree, A[i])
    ANS.append(str(search_min(Tree)[0]))
    
print(" ".join(ANS))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
class Node:
    def __init__(self, x):
        self.data = x
        self.left = None
        self.right = None
        self.balance = 0    # ?????????

# ????????¢
def rotate_right(node):
    lnode = node.left
    node.left = lnode.right
    lnode.right = node
    return lnode

# ????????¢
def rotate_left(node):
    rnode = node.right
    node.right = rnode.left
    rnode.left = node
    return rnode

#
# ??????????????¢?´¢
#
def search(node, x):
    while node is not None:
        if node.data == x: return True
        if x < node.data:
            node = node.left
        else:
            node = node.right
    return False

#
# ??????????????´??° (???????????¢??????)
#
def update_balance(node):
    if node.balance == 1:
        node.right.balance = -1
        node.left.balance = 0
    elif node.balance == -1:
        node.right.balance = 0
        node.left.balance = 1
    else:
        node.right.balance = 0
        node.left.balance = 0
    node.balance = 0


#
# ?????????????????\
#

# ?????\????????????????????????????????¨?????¨????¨???\
LEFT  = 0
RIGHT = 1

# ????????????????´?????????????????????£??????
def balance(root, path):
    new_node = None
    while len(path) > 0:
        pnode, dir = path.pop()   # pnode ???, dir ??¨?????¨????¨???\
        if dir == LEFT:
            pnode.balance += 1
        else:
            pnode.balance -= 1
        b = pnode.balance
        if b == 0: return root    # ?????£?????? root ?????????
        if b > 1:
            if pnode.left.balance < 0:
                # LR ???????????¢
                pnode.left = rotate_left(pnode.left)
                new_node = rotate_right(pnode)
                update_balance(new_node)
            else:
                # LL ???????????¢
                new_node = rotate_right(pnode)
                new_node.balance = 0
                pnode.balance = 0
            break
        elif b < -1:
            if pnode.right.balance > 0:
                # RL ???????????¢
                pnode.right = rotate_right(pnode.right)
                new_node = rotate_left(pnode)
                update_balance(new_node)
            else:
                # RR ???????????¢
                new_node = rotate_left(pnode)
                new_node.balance = 0
                pnode.balance = 0
            break
    # ??????????????????
    if len(path) > 0:
        # pnode ?????????????±???????
        gnode, gdir = path.pop()
        if gdir == LEFT:
            gnode.left = new_node
        else:
            gnode.right = new_node
    elif new_node is not None:
        return new_node
    return root

# ?????\
def insert(root, x):
    if root is None: return Node(x)
    path = []
    node = root
    while True:
        if node.data == x: return root
        elif x < node.data:
            path.append((node, LEFT))
            if node.left is None:
                node.left = Node(x)
                break
            node = node.left
        else:
            path.append((node, RIGHT))
            if node.right is None:
                node.right = Node(x)
                break
            node = node.right
    return balance(root, path)

#
# ??????????????????
#

# ????????????????´?????????????????????£??????
def balance_delete(root, path):
    while len(path) > 0:
        new_node = None
        pnode, dir = path.pop()  # pnode = ???, dir = ??????????????¨?????¨
        if dir == LEFT:
            pnode.balance -= 1   # ?????\??¨?????§ left ??? -1, right ??? +1
        else:
            pnode.balance += 1
        b = pnode.balance
        if b > 1:
            if pnode.left.balance < 0:
                # ???????????¢
                pnode.left = rotate_left(pnode.left)
                new_node = rotate_right(pnode)
                update_balance(new_node)
            else:
                # ???????????¢
                new_node = rotate_right(pnode)
                if new_node.balance == 0:
                    new_node.balance = -1
                    pnode.balance = 1
                else:
                    new_node.balance = 0
                    pnode.balance = 0
        elif b < -1:
            if pnode.right.balance > 0:
                # ???????????¢
                pnode.right = rotate_right(pnode.right)
                new_node = rotate_left(pnode)
                update_balance(new_node)
            else:
                # ???????????¢
                new_node = rotate_left(pnode)
                if new_node.balance == 0:
                    new_node.balance = 1
                    pnode.balance = -1
                else:
                    new_node.balance = 0
                    pnode.balance = 0
        elif b != 0:
            break      # b == 1 or b == -1 ????????£??????
        # ??????????????????
        if new_node is not None:
            if len(path) == 0: return new_node   # root ?????????
            gnode, gdir = path[len(path) - 1]    # pnode ??????
            if gdir == LEFT:
                gnode.left = new_node
            else:
                gnode.right = new_node
            if new_node.balance != 0: break      # ?????£??????
    return root

# ??????????????¢???
def _search(node, x, path):
    while node is not None:
        if node.data == x: return node
        if x < node.data:
            path.append((node, LEFT))
            node = node.left
        else:
            path.append((node, RIGHT))
            node = node.right
    return None

# ????°?????????¢???
def _search_min(node, path):
    while node.left is not None:
        path.append((node, LEFT))
        node = node.left
    return node

# ??????
def delete(root, x):
    if root is None: return None    # ????????¨
    path = []                       # ??????
    node = _search(root, x, path)   # ??¢?´¢
    if node is None: return root    # ?????????????????????
    if node.left is not None and node.right is not None:
        # ????????????????????´???
        # ?????¨?????¨???????°?????????¢?????????????????????
        path.append((node, RIGHT))
        min_node = _search_min(node.right, path)
        node.data = min_node.data
        node = min_node
    if len(path) > 0:
        pnode, dir = path[len(path) - 1]
    else:
        pnode = None
    # ??????????????????
    if node.left is None:
        cnode = node.right
    else:
        cnode = node.left
    if pnode is None:
        return cnode
    elif dir == LEFT:
        pnode.left = cnode
    else:
        pnode.right = cnode
    return balance_delete(root, path)
            
[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
Tree = None
for i in range(L) : Tree = insert(Tree,A[i])
ANS = [str(search_min(Tree)[0])]

for i in range(L,N):
    Tree = delete(Tree, A[i-L])
    Tree = insert(Tree, A[i])
    ANS.append(str(search_min(Tree)[0]))
    
print(" ".join(ANS))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
class Node:
    def __init__(self, x):
        self.data = x
        self.left = None
        self.right = None
        self.balance = 0

def rotate_right(node):
    lnode = node.left
    node.left = lnode.right
    lnode.right = node
    return lnode

def rotate_left(node):
    rnode = node.right
    node.right = rnode.left
    rnode.left = node
    return rnode

def search(node, x):
    while node is not None:
        if node.data == x: return True
        if x < node.data:
            node = node.left
        else:
            node = node.right
    return False

def update_balance(node):
    if node.balance == 1:
        node.right.balance = -1
        node.left.balance = 0
    elif node.balance == -1:
        node.right.balance = 0
        node.left.balance = 1
    else:
        node.right.balance = 0
        node.left.balance = 0
    node.balance = 0

LEFT  = 0
RIGHT = 1

def balance(root, path):
    new_node = None
    while len(path) > 0:
        pnode, dir = path.pop()
        if dir == LEFT:
            pnode.balance += 1
        else:
            pnode.balance -= 1
        b = pnode.balance
        if b == 0: return root
        if b > 1:
            if pnode.left.balance < 0:

                pnode.left = rotate_left(pnode.left)
                new_node = rotate_right(pnode)
                update_balance(new_node)
            else:

                new_node = rotate_right(pnode)
                new_node.balance = 0
                pnode.balance = 0
            break
        elif b < -1:
            if pnode.right.balance > 0:

                pnode.right = rotate_right(pnode.right)
                new_node = rotate_left(pnode)
                update_balance(new_node)
            else:

                new_node = rotate_left(pnode)
                new_node.balance = 0
                pnode.balance = 0
            break

    if len(path) > 0:

        gnode, gdir = path.pop()
        if gdir == LEFT:
            gnode.left = new_node
        else:
            gnode.right = new_node
    elif new_node is not None:
        return new_node
    return root


def insert(root, x):
    if root is None: return Node(x)
    path = []
    node = root
    while True:
        if node.data == x: return root
        elif x < node.data:
            path.append((node, LEFT))
            if node.left is None:
                node.left = Node(x)
                break
            node = node.left
        else:
            path.append((node, RIGHT))
            if node.right is None:
                node.right = Node(x)
                break
            node = node.right
    return balance(root, path)

def balance_delete(root, path):
    while len(path) > 0:
        new_node = None
        pnode, dir = path.pop()
        if dir == LEFT:
            pnode.balance -= 1
        else:
            pnode.balance += 1
        b = pnode.balance
        if b > 1:
            if pnode.left.balance < 0:

                pnode.left = rotate_left(pnode.left)
                new_node = rotate_right(pnode)
                update_balance(new_node)
            else:

                new_node = rotate_right(pnode)
                if new_node.balance == 0:
                    new_node.balance = -1
                    pnode.balance = 1
                else:
                    new_node.balance = 0
                    pnode.balance = 0
        elif b < -1:
            if pnode.right.balance > 0:

                pnode.right = rotate_right(pnode.right)
                new_node = rotate_left(pnode)
                update_balance(new_node)
            else:

                new_node = rotate_left(pnode)
                if new_node.balance == 0:
                    new_node.balance = 1
                    pnode.balance = -1
                else:
                    new_node.balance = 0
                    pnode.balance = 0
        elif b != 0:
            break

        if new_node is not None:
            if len(path) == 0: return new_node
            gnode, gdir = path[len(path) - 1]
            if gdir == LEFT:
                gnode.left = new_node
            else:
                gnode.right = new_node
            if new_node.balance != 0: break
    return root

def _search(node, x, path):
    while node is not None:
        if node.data == x: return node
        if x < node.data:
            path.append((node, LEFT))
            node = node.left
        else:
            path.append((node, RIGHT))
            node = node.right
    return None

def _search_min(node, path):
    while node.left is not None:
        path.append((node, LEFT))
        node = node.left
    return node

def delete(root, x):
    if root is None: return None
    path = []
    node = _search(root, x, path)
    if node is None: return root
    if node.left is not None and node.right is not None:

        path.append((node, RIGHT))
        min_node = _search_min(node.right, path)
        node.data = min_node.data
        node = min_node
    if len(path) > 0:
        pnode, dir = path[len(path) - 1]
    else:
        pnode = None

    if node.left is None:
        cnode = node.right
    else:
        cnode = node.left
    if pnode is None:
        return cnode
    elif dir == LEFT:
        pnode.left = cnode
    else:
        pnode.right = cnode
    return balance_delete(root, path)
            
[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
Tree = None
for i in range(L) : Tree = insert(Tree,A[i])
ANS = [str(search_min(Tree)[0])]

for i in range(L,N):
    Tree = delete(Tree, A[i-L])
    Tree = insert(Tree, A[i])
    ANS.append(str(search_min(Tree)[0]))
    
print(" ".join(ANS))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
A = sorted(A)
ANS = [10**9+1]*N
for a in A:
    for i in range(L):
        try :
            if a[0] < int(ANS[a[1]+i]) :
                ANS[a[1]+i] = str(a[0])
        except IndexError : continue
print(" ".join(ANS[L-1:]))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
heapq.heapify(A)
ANS = [10**9+1]*N
for j in range(N):
    a = heapq.heappop(A)
    for i in range(L):
        try :
            if a[0] < int(ANS[a[1]+i]) : ANS[a[1]+i] = str(a[0])
        except IndexError : continue
print(" ".join(ANS[L-1:]))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
[N,L] = [int(x) for x in input().split()]
A = [(int(x),int(i)) for i,x in enumerate(input().split())]
heapq.heapify(A)
ANS = [10**9+1]*N
for j in range(N):
    a = heapq.heappop(A)
    for i in range(L):
        try :
            if a[0] < int(ANS[a[1]+i]) : ANS[a[1]+i] = str(a[0])
        except IndexError : continue
print(" ".join(ANS[L-1:]))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
heapq.heapify(A)
ANS = [10**9+1]*N
for j in range(N):
    a = heapq.heappop(A)
    for i in range(L):
        try :
            if ANS[a[1]+i] == 10**9+1 : ANS[a[1]+i] = str(a[0])
        except IndexError : continue
print(" ".join(ANS[L-1:]))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
heapq.heapify(A)
ANS = [10**9+1]*N
for j in range(N):
    a = heapq.heappop(A)
    for i in range(L):
        try :
            if ANS[a[1]+i] == 10**9+1 : ANS[a[1]+i] = a[0]
        except IndexError : continue
for i in ANS[L-1:-1]:
    print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
class Node:
    def __init__(self, x):
        self.data = x
        self.left = None
        self.right = None
        
def search_min(node):
    while node.left is not None:
        node = node.left
    return node.data

def insert(node, x):
    if node is None : return Node(x)
    elif x < node.data :
        node.left = insert(node.left, x)
    else :
        node.right = insert(node.right, x)
    return node

def delete_min(node):
    if node.left is None : return node.right
    node.left = delete_min(node.left)
    return node

def delete(node, x):
    if node is not None :
        if x == node.data :
            if node.left is None :
                return node.right
            elif node.right is None:
                return node.left
            else :
                node.data = search_min(node.right)
                node.right = delete_min(node.right)
        elif x < node.data :
            node.left = delete(node.left, x)
        else :
            node.right = delete(node.right, x)
    return node

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
Tree = None
for i in range(L) : Tree = insert(Tree,A[i])
ANS = [search_min(Tree)[0]]

for i in range(L,N):
    Tree = delete(Tree, A[i-L])
    Tree = insert(Tree, A[i])
    ANS.append(search_min(Tree)[0])
    
for i in ANS[:-1]:
    print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
def binaryinsertion(A,x):
    left=0;right=len(A)-1
    while(True):
        if (len(A)==0) :
            A.append(x)
            break
        centre = left + (right-left)//2 - 1
        if(right - left < 2):
            if(x[0]<A[left][0]):A.insert(left,x)
            else :
                if(x[0]<A[right][0]):A.insert(right,x)
                else:A.insert(right+1,x)
            break
        else:
            if(x[0] < A[centre][0]) :
                right = centre - 1
            elif(A[centre][0] < x[0]) :
                left = centre + 1
            else : 
                A.insert(centre,x)
                break

[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
sweep = A[:L]
sweep = sorted(sweep)
ans = [sweep[0][0]]
for i in range(L,N) :
    sweep.remove(A[i-L])
    binaryinsertion(sweep,A[i])
    ans.append(sweep[0][0])
for i in ans[:-1]:
    print(i, end=" ")
print(ans[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = []
for i in range(N-L+1) : ans.append(min(A[i:i+L]))
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
heapq.heapify(A)
ANS = [10**9+1]*N
count = 0
for j in range(N):
    a = heapq.heappop(A)
    for i in range(L):
        try :
            if ANS[a[1]+i] == 10**9+1 :
                ANS[a[1]+i] = str(a[0])
                count += 1
        except IndexError : continue
    if count == N : break
print(" ".join(ANS[L-1:]))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
heapq.heapify(A)
ANS = [10**9+1]*N
count = 0
for j in range(N):
    a = heapq.heappop(A)
    for i in range(L):
        try :
            if ANS[a[1]+i] == 10**9+1 :
                ANS[a[1]+i] = str(a[0])
                count += 1
        except IndexError : continue
    if count == N : break
print(" ".join(ANS[L-1:]))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
heapq.heapify(A)
ANS = [10**9+1]*N
count = 0
for j in range(N):
    a = heapq.heappop(A)
    for i in range(L):
        try :
            if ANS[a[1]+i] == 10**9+1 :
                ANS[a[1]+i] = a[0]
                count += 1
        except IndexError : continue
    if count == N : break
for i in ANS[L-1:-1]:
    print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
[N,L] = [int(x) for x in input().split()]
A = dict
ANS = [10**9+1]*N
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    try : A[x] += [i]
    except KeyError : A[x] =  [i]
for i in set(A) :
    for j in A[i] :
        for k in range(L) :
            try :
                if ANS[j+k] == 10**9+1 : 
                    ANS[j+k] = i
                    count += 1
            except IndexError : continue
    if count == N : break
for i in ANS[L-1:-1]:
    print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
[N,L] = [int(x) for x in input().split()]
A = {10**9+1:1}
ANS = [10**9+1]*N
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    try : A[x] += [i]
    except KeyError : A[x] =  [i]
for i in set(A) :
    for j in A[i] :
        for k in range(L) :
            try :
                if ANS[j+k] == 10**9+1 : 
                    ANS[j+k] = i
                    count += 1
            except IndexError : continue
    if count == N : break
for i in ANS[L-1:-1]:
    print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
[N,L] = [int(x) for x in input().split()]
A = {10**9+1:1}
ANS = [10**9+1]*N
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    try : A[x] += [i]
    except KeyError : A[x] =  [i]
for i in set(A) :
    for j in A[i] :
        for k in range(L) :
            try :
                if ANS[j+k] == 10**9+1 : 
                    ANS[j+k] = i
                    count += 1
            except IndexError : continue
        if count == N : break
for i in ANS[L-1:-1]:
    print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = [10**9+1]*N
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]

for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            try :
                if ANS[j+k] == 10**9+1 : 
                    ANS[j+k] = i
                    count += 1
            except IndexError : continue
    if count == N : break
for i in ANS[L-1:-1] : print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = [10**9+1]*N
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]

for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            try :
                if ANS[j+k] == 10**9+1 : 
                    ANS[j+k] = i
                    count += 1
            except IndexError : continue
            if count == N : break
for i in ANS[L-1:-1] : print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count >= N : break
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count > N + 2 : break

if L = 1 :
    for i in range(L-1,N-2) : print(ANS[i], end=" ")
    print(ANS[N-1])
else :
    for i in range(L-1,N-1) : print(ANS[i], end=" ")
    print(ANS[N])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count > N + 2 : break

if L == 1 :
    for i in range(L-1,N-1) : print(ANS[i], end=" ")
    print(ANS[N-1])
else :
    for i in range(L-1,N-1) : print(ANS[i], end=" ")
    print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count > N + 2 : break
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count >= N : break
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count > N + 2 : break
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count > N + 10 : break
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count > N + 30 : break
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count > N + 100 : break
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count > N + L : break

for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count > N + 200 : break

for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS && j + k < N:
                ANS[j+k] = i
                count += 1
    if count == N : break

for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS && j + k < N:
                ANS[j+k] = i
                count += 1
    if count > N : break

for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS && j + k < N:
                ANS[j+k] = i
                count += 1
    if count > N + 1 : break

for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS and j + k < N:
                ANS[j+k] = i
                count += 1
    if count == N : break

for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k in ANS :
                continue
            elif j + k < N :
                ANS[j+k] = i
                count += 1
    if count == N : break

for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
[N,L] = [int(x) for x in input().split()]
A = []
for i,x in enumerate(input().split()):
    heapq.heappush(A,[int(x),int(i)])
heapq.heapify(A)
ANS = [10**9+1]*N
count = 0
for j in range(N):
    a = heapq.heappop(A)
    for i in range(L):
        try :
            if ANS[a[1]+i] == 10**9+1 :
                ANS[a[1]+i] = str(a[0])
                count += 1
        except IndexError : continue
    if count == N : break
print(" ".join(ANS[L-1:]))

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
[N,L] = [int(x) for x in input().split()]
A = []
for i,x in enumerate(input().split()):
    heapq.heappush(A,[int(x),int(i)])
heapq.heapify(A)
ANS = [10**9+1]*N
count = 0
for j in range(N):
    a = heapq.heappop(A)
    for i in range(L):
        try :
            if ANS[a[1]+i] == 10**9+1 :
                ANS[a[1]+i] = a[0]
                count += 1
        except IndexError : continue
    if count == N : break
for i in ANS[L-1:-1] : print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [True]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if (N-count)**2 < N : break

for i in range(N):
    if i not in ANS:
        ANS[i] = min(B[i+1-L:i+1])
        
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [True]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if (N-count)**2 < N : break

for i in range(N):
    if i not in ANS:
        try :
            ANS[i] = min(B[i+1-L:i+1])
        except IndexError :
            ANS[i] = min(B[:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [True]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if (N-count)**2 < N : break

for i in range(L):
    if i not in ANS:
        ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS:
            ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
from collections import deque
[N,L] = [int(x) for x in input().split()]
A = {}
B = deque([])
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B.append(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if (N-count)**2 < N : break

for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = []
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B.append(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if (N-count)**2 < N : break

for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = []
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B.append(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if (N-count)**2 < N : break

for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count > N + 200 : break
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count > N + 200 : break
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count > N + 200 : break
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count + 100 > N : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if (N-count)**2 > N*N : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count * 1.01 > N : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count + L > N : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count + L*1.4 > N : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count + L*0.5 > N : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:ijavascript:void(0)+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count + L*0.5 > N : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count + 2000 > N : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count * count > N : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count * count * count > N * N : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count ** 11 > N ** 10 : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count ** 11 + L > N ** 10 : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
C = N//L
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        count += 1
        for k in range(L) :
            if j + k not in ANS : ANS[j+k] = i
    if count  > C - 3 : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
C = N//L
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        count += 1
        for k in range(L) :
            if j + k not in ANS : ANS[j+k] = i
    if count  > C : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
#hozon
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count > N * 0.99 : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
#hozon
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count > N * 0.999 : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
C = N//L
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        count += 1
        for k in range(L) :
            if j + k not in ANS : ANS[j+k] = i
    if count  > C // 2 : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = [0]*N
C = N//L
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B[i] = x
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        count += 1
        for k in range(L) :
            if j + k not in ANS : ANS[j+k] = i
    if count  > C * 2 : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
B = []
ANS = {}
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    B.append(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]
for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            if j + k not in ANS :
                ANS[j+k] = i
                count += 1
    if count > N * 0.99 : break
        
for i in range(L):
    if i not in ANS : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
for i in range(L-1,N-1) : print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def SME(Part,L):
    A = {}
    B = []
    ANS = {}
    count = 0
    N = len(Part)
    for i,x in enumerate(Part):
        B.append(x)
        if x in A : A[x] += [i]
        else : A[x] = [i]
    for i in sorted(A) :
        for j in A[i] :
            for k in range(L) :
                if j + k not in ANS :
                    ANS[j+k] = i
                    count += 1
        if count > N * 0.99 : break
    for i in range(L):
        if i not in ANS : ANS[i] = min(B[:i+1])
    for i in range(L,N):
        if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
    return ANS


[N,L] = [int(x) for x in input().split()]
Whole = [int(x) for x in input().split()]
ANS = {}
M = int(N**0.3)
K = N//M
for i in range(M):
    if i == 0:
        ANS.update(SME(Whole[:K], L))
    elif i == M-1:
        ANS.update(SME(Whole[i*K-L+1:], L))
    else:
        ANS.update(SME(Whole[i*K-L+1:K-L+1+K], L))

for i in range(L-1,N-1) :print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
def SME(Part,L):
    A = {}
    B = []
    ANS = {}
    count = 0
    N = len(Part)
    for i,x in enumerate(Part):
        B.append(x)
        if x in A : A[x] += [i]
        else : A[x] = [i]
    for i in sorted(A) :
        for j in A[i] :
            for k in range(L) :
                if j + k not in ANS :
                    ANS[j+k] = i
                    count += 1
        if count > N * 0.99 : break
    for i in range(L):
        if i not in ANS : ANS[i] = min(B[:i+1])
    for i in range(L,N):
        if i not in ANS : ANS[i] = min(B[i+1-L:i+1])
    return ANS


[N,L] = [int(x) for x in input().split()]
Whole = [int(x) for x in input().split()]
ANS = {}
M = int(N**0.3)
K = N//M
for i in range(M):
    if i == 0:
        ANS.update(SME(Whole[:K], L))
    elif i == M-1:
        ANS.update(SME(Whole[i*K-L+1:], L))
    else:
        ANS.update(SME(Whole[i*K-L+1:K-L+1+K], L))

for i in range(L-1,N-1) :print(ANS[i], end=" ")
print(ANS[N-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
import heapq
[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
heapq.heapify(A)
ANS = [10**9+1]*N
count = 0
for j in range(N):
    a = heapq.heappop(A)
    for i in range(L):
        try :
            if ANS[a[1]+i] == 10**9+1 :
                ANS[a[1]+i] = a[0]
                count += 1
        except IndexError : continue
    if count + 1000 == N : break

for i in range(L):
    if ANS[i] == 10**9+1 : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if ANS[i] == 10**9+1 : ANS[i] = min(B[i+1-L:i+1])

for i in ANS[L-1:-1]:
    print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
import heapq
[N,L] = [int(x) for x in input().split()]
A = [[int(x),int(i)] for i,x in enumerate(input().split())]
heapq.heapify(A)
ANS = [10**9+1]*N
count = 0
for j in range(N):
    a = heapq.heappop(A)
    for i in range(L):
        try :
            if ANS[a[1]+i] == 10**9+1 :
                ANS[a[1]+i] = a[0]
                count += 1
        except IndexError : continue
    if count + 1000 > N : break

for i in range(L):
    if ANS[i] == 10**9+1 : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if ANS[i] == 10**9+1 : ANS[i] = min(B[i+1-L:i+1])

for i in ANS[L-1:-1]:
    print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
[N,L] = [int(x) for x in input().split()]
B = [int(x) for x in input().split()]
A = []
for i,x in enumerate(B) : heapq.heappush(A,[x,i])
ANS = [10**9+1]*N
count = 0
for j in range(N):
    a = heapq.heappop(A)
    for i in range(L):
        try :
            if ANS[a[1]+i] == 10**9+1 :
                ANS[a[1]+i] = a[0]
                count += 1
        except IndexError : continue
    if count + 1000 > N : break

for i in range(L):
    if ANS[i] == 10**9+1 : ANS[i] = min(B[:i+1])
for i in range(L,N):
    if ANS[i] == 10**9+1 : ANS[i] = min(B[i+1-L:i+1])

for i in ANS[L-1:-1]:
    print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
[N,L] = [int(x) for x in input().split()]
A = {}
ANS = [10**9+1]*N
count = 0
for i,x in enumerate(input().split()):
    i = int(i)
    x = int(x)
    if x in A : A[x] += [i]
    else : A[x] = [i]

for i in sorted(A) :
    for j in A[i] :
        for k in range(L) :
            try :
                if ANS[j+k] == 10**9+1 : 
                    ANS[j+k] = i
                    count += 1
            except IndexError : continue
    if count == N : break
for i in ANS[L-1:-1] : print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
import heapq
def SME(Whole,start,end,L,ANS):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0 and idx <= end:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N * 0.99 : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ANS = [0]*N
start = 0
K = L * 2
if K > N : K = N
end = K
while (end <= N):
    ANS = SME(A, i*M, i*M+K, L, ANS)
    start = end
    end += K 
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def SME(Whole,start,end,L,ANS):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0 and idx < end:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N * 0.99 : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ANS = [0]*N
start = 0
K = L * int(N ** 0.3 + 2 )
if K > N : K = N
end = K
while (end <= N):
    ANS = SME(A, start, end, L, ANS)
    start = end
    end += K 
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def SME(Whole,start,end,L,ANS):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0 and idx < end:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N * 0.9 : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ANS = [0]*N
start = 0
K = L * int(N ** 0.3 + 2 )
if K > N : K = N
end = K
while (end <= N):
    ANS = SME(A, start, end, L, ANS)
    start = end
    end += K 
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def SME(Whole,start,end,L,ANS):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0 and idx < end:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N * 0.99 : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ANS = [0]*N
ANS = SME(A, 0, N, L, ANS)
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def SME(start,end):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0 and idx < end:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N * 0.99 : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
Whole = [int(x) for x in input().split()]
ANS = [0]*N
ANS = SME(0, N)
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def SME(start,end):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N * 0.99 : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
Whole = [int(x) for x in input().split()]
ANS = [0]*N
ANS = SME(0, N)
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def SME(start,end):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N * 0.995 : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
Whole = [int(x) for x in input().split()]
ANS = [0]*N
ANS = SME(0, N)
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def SME(start,end):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N * 0.9999 : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
Whole = [int(x) for x in input().split()]
ANS = [0]*N
ANS = SME(0, N)
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def SME(start,end):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N * 0.999 : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
Whole = [int(x) for x in input().split()]
ANS = [0]*N
ANS = SME(0, N)
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def SME(start,end):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N * 0.995 : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
Whole = [int(x) for x in input().split()]
ANS = [0]*N
ANS = SME(0, N)
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def SME(start,end):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N * 0.995 - 50 : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
Whole = [int(x) for x in input().split()]
ANS = [0]*N
ANS = SME(0, N)
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def SME(start,end):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N * 0.995 + 200 : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
Whole = [int(x) for x in input().split()]
ANS = [0]*N
ANS = SME(0, N)
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def SME(start,end):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N ** 0.999 : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
Whole = [int(x) for x in input().split()]
ANS = [0]*N
ANS = SME(0, N)
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def SME(start,end):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N * 0.9999 - 500 : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
Whole = [int(x) for x in input().split()]
ANS = [0]*N
ANS = SME(0, N)
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def SME(start,end):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N * 0.9999 - 1000 : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
Whole = [int(x) for x in input().split()]
ANS = [0]*N
ANS = SME(0, N)
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def SME(start,end):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N * 0.9995 - 100 : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
Whole = [int(x) for x in input().split()]
ANS = [0]*N
ANS = SME(0, N)
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Runtime Error):
import heapq
def SME(start,end):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N * parameter : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
Whole = [int(x) for x in input().split()]
if N = 10**5 :
    parameter = 0.9999
else :
    parameter = 0.995
ANS = [0]*N
ANS = SME(0, N)
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def SME(start,end):
    A = []
    if end > N : end = N
    count = 0
    for i,x in enumerate(Whole[start:end]):
        heapq.heappush(A,[x,i])
    for j in range(start,end):
        a = heapq.heappop(A)
        for i in range(L):
            idx = a[1] + i
            try :
                if ANS[idx] == 0:
                    ANS[idx] = a[0]
                    count += 1
            except IndexError : continue
        if count > N * parameter : break
    for i in range(L):
        if ANS[i] == 0 : ANS[i] = min(Whole[:i+1])
    for i in range(L,N):
        if ANS[i] == 0 : ANS[i] = min(Whole[i+1-L:i+1])
    return ANS

[N,L] = [int(x) for x in input().split()]
Whole = [int(x) for x in input().split()]
if N == 10**5 :
    parameter = 0.9999
else :
    parameter = 0.995
ANS = [0]*N
ANS = SME(0, N)
for i in ANS[L-1:-1]:print(i, end=" ")
print(ANS[-1])

Fixed submission:
def ascend(a,b):
    mini = min(A[a:a+L])
    ans[a] = mini
    for i in range(a+1,b):
        if A[i+L-1] <= mini : mini = A[i+L-1]
        elif A[i-1] == mini : mini = min(A[i:i+L])
        ans[i] = mini

def descend(a,b):
    mini = min(A[b-1:b+L-1])
    ans[b-1] = mini
    for i in range(b-2,a-1,-1):
        if A[i] <= mini : mini = A[i]
        elif A[i+L] == mini: mini = min(A[i:i+L])
        ans[i] = mini
    
[N,L] = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
ans = [None]*(N-L+1)
count = 0;
if N > 10 ** 4:
    for i in range(100):
        if A[i+1] > A[i] : count += 1
    if count > 80 : descend(0, N-L+1)
    else : ascend(0,N-L+1)
else :
    ascend(0, N-L+1)
for i in ans[:-1] : print(i, end=" ")
print(ans[-1])