Buggy python submission (verdict: Time Limit Exceeded):
N,K = map(int, input().split())

L = [N]

for i in range(2, int(N**0.5)+1):
    if L[-1] != N//i:
        L.append(N//i)
        
c = int(N**0.5)+1
if c > N**0.5:
    c -= 1
    L.append(c)
else:
    L.append(c)


L.reverse()
dp1 = [0 for _ in range(c+len(L))]
dp2 = [0 for _ in range(c+len(L))]

for j in range(1, c+1):
    dp1[j] = N//j
for j in range(1, len(L)):
    dp1[j+c] = N//L[j]*(L[j]-L[j-1])

for i in range(2, K):
    if i%2 == 0:
        dp2[-1] = dp1[1]
        for j in range(2, c+len(L)):
            dp2[c+len(L)-j] = dp2[c+len(L)-j+1]+dp1[j]
        for j in range(1, len(L)):
            dp2[j+c] *= (L[j]-L[j-1])
    else:
        dp1[-1] = dp2[1]
        for j in range(2, c+len(L)):
            dp1[c+len(L)-j] = dp1[c+len(L)-j+1]+dp2[j]
        for j in range(1, len(L)):
            dp1[j+c] *= (L[j]-L[j-1])

if K%2 == 0:
    ans = sum(dp1)
else:
    ans = sum(dp2)

print(ans%(10**9+7))

Fixed submission:
from itertools import accumulate

N,K = map(int, input().split())
mod = 10**9+7
sqt = int(N**0.5)
cnt = [N // i-N // (i+1) for i in range(1, N//sqt)] + [1]*sqt
x = cnt
for _ in range(K):
    x = [(i*j)%mod for i, j in zip(accumulate(reversed(x)), cnt)]
    

print(x[-1])

Buggy python submission (verdict: Time Limit Exceeded):
N,K = map(int, input().split())

L = [N]
c = 2
while c < N**0.5:
    if L[-1] != N//c:
        L.append(N//c)
    c += 1
if c > N**0.5:
    c -= 1
    L.append(c)
else:
    L.append(c)


L.reverse()
dp1 = [0 for _ in range(c+len(L))]
dp2 = [0 for _ in range(c+len(L))]

for j in range(1, c+1):
    dp1[j] = N//j
for j in range(1, len(L)):
    dp1[j+c] = N//L[j]*(L[j]-L[j-1])

for i in range(2, K):
    if i%2 == 0:
        dp2[-1] = dp1[1]
        for j in range(2, c+len(L)):
            dp2[c+len(L)-j] = dp2[c+len(L)-j+1]+dp1[j]
        for j in range(1, len(L)):
            dp2[j+c] *= (L[j]-L[j-1])
    else:
        dp1[-1] = dp2[1]
        for j in range(2, c+len(L)):
            dp1[c+len(L)-j] = dp1[c+len(L)-j+1]+dp2[j]
        for j in range(1, len(L)):
            dp1[j+c] *= (L[j]-L[j-1])

if K%2 == 0:
    ans = sum(dp1)
else:
    ans = sum(dp2)

print(ans%(10**9+7))

Fixed submission:
from itertools import accumulate

N,K = map(int, input().split())
mod = 10**9+7
sqt = int(N**0.5)
cnt = [N // i-N // (i+1) for i in range(1, N//sqt)] + [1]*sqt
x = cnt
for _ in range(K):
    x = [(i*j)%mod for i, j in zip(accumulate(reversed(x)), cnt)]
    

print(x[-1])

Buggy python submission (verdict: Time Limit Exceeded):
N,K = map(int, input().split())

L = [N]
c = 2
while c < N**0.5:
    if L[-1] != N//c:
        L.append(N//c)
    c += 1
if c > N**0.5:
    c -= 1
    L.append(c)
else:
    L.append(c)


L.reverse()
dp = [[0 for j in range(c+len(L))] for i in range(K+1)]

for j in range(1, c+1):
    dp[2][j] = N//j
for j in range(1, len(L)):
    dp[2][j+c] = N//L[j]*(L[j]-L[j-1])

for i in range(2, K):
    dp[i+1][-1] = dp[i][1]
    for j in range(2, c+len(L)):
        dp[i+1][c+len(L)-j] = dp[i+1][c+len(L)-j+1]+dp[i][j]
    for j in range(1, len(L)):
        dp[i+1][j+c] *= (L[j]-L[j-1])

        
print(sum(dp[K])%(10**9+7))

Fixed submission:
from itertools import accumulate

N,K = map(int, input().split())
mod = 10**9+7
sqt = int(N**0.5)
cnt = [N // i-N // (i+1) for i in range(1, N//sqt)] + [1]*sqt
x = cnt
for _ in range(K):
    x = [(i*j)%mod for i, j in zip(accumulate(reversed(x)), cnt)]
    

print(x[-1])

Buggy python submission (verdict: Runtime Error):
N,K = map(int, input().split())

L = [N]
c = 2
while c < N**0.5:
    if L[-1] != N//c:
        L.append(N//c)
    c += 1
if c > N**0.5:
    c -= 1
    L.append(c)
else:
    L.append(c)


L.reverse()
dp = [[0 for j in range(c+len(L))] for i in range(K+1)]

for j in range(1, c+1):
    dp[2][j] = N//j
for j in range(1, len(L)):
    dp[2][j+c] = N//L[j]*(L[j]-L[j-1])

for i in range(2, K):
    dp[i+1][1] = sum(dp[i])
    for j in range(2, c+len(L)):
        dp[i+1][j] = dp[i+1][j-1]-dp[i][len(dp[0])+1-j]
        if j > c:
            dp[i+1][j] *= (L[j]-L[j-1])
#    for j in range(1, len(L)):
#        dp[i+1][j+c] *= (L[j]-L[j-1])
        

print(sum(dp[K])%(10**9+7))

Fixed submission:
from itertools import accumulate

N,K = map(int, input().split())
mod = 10**9+7
sqt = int(N**0.5)
cnt = [N // i-N // (i+1) for i in range(1, N//sqt)] + [1]*sqt
x = cnt
for _ in range(K):
    x = [(i*j)%mod for i, j in zip(accumulate(reversed(x)), cnt)]
    

print(x[-1])

Buggy python submission (verdict: Time Limit Exceeded):
N,K = map(int, input().split())

L = [N]
c = 2
while c < N**0.5:
    if L[-1] != N//c:
        L.append(N//c)
    c += 1
if c > N**0.5:
    c -= 1
    L.append(c)
else:
    L.append(c)


L.reverse()
dp = [[0 for j in range(c+len(L))] for i in range(K+1)]

for j in range(1, c+1):
    dp[2][j] = N//j
for j in range(1, len(L)):
    dp[2][j+c] = N//L[j]*(L[j]-L[j-1])

for i in range(2, K):
    dp[i+1][1] = sum(dp[i])
    for j in range(2, c+len(L)):
        dp[i+1][j] = dp[i+1][j-1]-dp[i][len(dp[0])+1-j]
    for j in range(1, len(L)):
        dp[i+1][j+c] *= (L[j]-L[j-1])
        

print(sum(dp[K])%(10**9+7))

Fixed submission:
from itertools import accumulate

N,K = map(int, input().split())
mod = 10**9+7
sqt = int(N**0.5)
cnt = [N // i-N // (i+1) for i in range(1, N//sqt)] + [1]*sqt
x = cnt
for _ in range(K):
    x = [(i*j)%mod for i, j in zip(accumulate(reversed(x)), cnt)]
    

print(x[-1])

Buggy python submission (verdict: Time Limit Exceeded):
N,K = map(int, input().split())

L = [N]
c = 2
while c < N**0.5:
    if L[-1] != N//c:
        L.append(N//c)
    c += 1
if c > N**0.5:
    c -= 1
    L.append(c)
else:
    L.append(c)


L.reverse()
dp = [[0 for j in range(c+len(L))] for i in range(K+1)]

for j in range(1, c+1):
    dp[2][j] = N//j
for j in range(1, len(L)):
    dp[2][j+c] = N//L[j]*(L[j]-L[j-1])

for i in range(2, K):
    dp[i+1][1] = sum(dp[i])
    for j in range(2, c+len(L)):
        dp[i+1][j] = dp[i+1][j-1]-dp[i][len(dp[0])+1-j]
    for j in range(1, len(L)):
        dp[i+1][j+c] *= (L[j]-L[j-1])
        

print(sum(dp[K])%(10**9+7))

Fixed submission:
from itertools import accumulate

N,K = map(int, input().split())
mod = 10**9+7
sqt = int(N**0.5)
cnt = [N // i-N // (i+1) for i in range(1, N//sqt)] + [1]*sqt
x = cnt
for _ in range(K):
    x = [(i*j)%mod for i, j in zip(accumulate(reversed(x)), cnt)]
    

print(x[-1])