Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict

n, k = map(int, input().split())
hhh = list(map(int, input().split()))
INF = 10 ** 18
dp = defaultdict(lambda: INF)
dp[0] = 0
mask1 = (1 << 10) - 1

for h in hhh:
    ndp = defaultdict(lambda: INF)
    h_key = h << 10
    for changed_prev_h, operate in dp.items():
        changed = changed_prev_h & mask1
        prev_h = changed_prev_h >> 10
        if h == prev_h:
            key = h_key + changed
            ndp[key] = min(ndp[key], operate)
        elif h > prev_h:
            key = h_key + changed
            ndp[key] = min(ndp[key], operate + h - prev_h)
            if changed < k:
                key = changed_prev_h + 1
                ndp[key] = min(ndp[key], operate)
        else:
            key = h_key + changed
            ndp[key] = min(ndp[key], operate)
            if changed < k:
                key = changed_prev_h + 1
                ndp[key] = min(ndp[key], operate)
    dp = ndp
print(min(dp.values()))


Fixed submission:
from collections import defaultdict

n, k = map(int, input().split())
hhh = list(map(int, input().split()))
INF = 10 ** 18
dp = defaultdict(lambda: INF)
dp[0] = 0
mask1 = (1 << 10) - 1
mask2 = ((1 << 63) - 1) ^ mask1

for h in hhh:
    ndp = defaultdict(lambda: INF)
    h_key = h << 10
    for changed_prev_h, operate in dp.items():
        changed = changed_prev_h & mask1
        prev_h = changed_prev_h >> 10
        if h == prev_h:
            key = h_key + changed
            ndp[key] = min(ndp[key], operate)
        elif h > prev_h:
            key = h_key + changed
            ndp[key] = min(ndp[key], operate + h - prev_h)
            if changed < k:
                key = changed_prev_h + 1
                ndp[key] = min(ndp[key], operate)
        else:
            key = h_key + changed
            ndp[key] = min(ndp[key], operate)
            if changed < k:
                key = changed_prev_h + 1
                ndp[key] = min(ndp[key], operate)
    # print(h)
    # print(dict(dp))
    # print(dict(ndp))
    dp = ndp
print(min(dp.values()))

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
 
n, k = map(int, input().split())
hhh = list(map(int, input().split()))
INF = 10 ** 18
dp = defaultdict(lambda: INF)
dp[0, 0] = 0
for h in hhh:
    ndp = defaultdict(lambda: INF)
    for (changed, prev_h), operate in dp.items():
        if h == prev_h:
            ndp[changed, h] = min(ndp[changed, h], operate)
        elif h > prev_h:
            ndp[changed, h] = min(ndp[changed, h], operate + h - prev_h)
            if changed < k:
                ndp[changed + 1, prev_h] = min(ndp[changed + 1, prev_h], operate)
        else:
            ndp[changed, h] = min(ndp[changed, h], operate)
            if changed < k:
                ndp[changed + 1, prev_h] = min(ndp[changed + 1, prev_h], operate)
    dp = ndp
print(min(dp.values()))

Fixed submission:
from collections import defaultdict

n, k = map(int, input().split())
hhh = list(map(int, input().split()))
INF = 10 ** 18
dp = defaultdict(lambda: INF)
dp[0] = 0
mask1 = (1 << 10) - 1
mask2 = ((1 << 63) - 1) ^ mask1

for h in hhh:
    ndp = defaultdict(lambda: INF)
    h_key = h << 10
    for changed_prev_h, operate in dp.items():
        changed = changed_prev_h & mask1
        prev_h = changed_prev_h >> 10
        if h == prev_h:
            key = h_key + changed
            ndp[key] = min(ndp[key], operate)
        elif h > prev_h:
            key = h_key + changed
            ndp[key] = min(ndp[key], operate + h - prev_h)
            if changed < k:
                key = changed_prev_h + 1
                ndp[key] = min(ndp[key], operate)
        else:
            key = h_key + changed
            ndp[key] = min(ndp[key], operate)
            if changed < k:
                key = changed_prev_h + 1
                ndp[key] = min(ndp[key], operate)
    # print(h)
    # print(dict(dp))
    # print(dict(ndp))
    dp = ndp
print(min(dp.values()))

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict

n, k = map(int, input().split())
hhh = list(map(int, input().split()))
INF = 10 ** 18
dp = defaultdict(lambda: INF)
dp[0, 0] = 0
for h in hhh:
    ndp = defaultdict(lambda: INF)
    for (changed, prev_h), operate in dp.items():
        if h == prev_h:
            ndp[changed, h] = min(ndp[changed, h], operate)
        elif h > prev_h:
            ndp[changed, h] = min(ndp[changed, h], operate + h - prev_h)
            if changed < k:
                ndp[changed + 1, prev_h] = min(ndp[changed + 1, prev_h], operate)
        else:
            ndp[changed, h] = min(ndp[changed, h], operate)
            if changed < k:
                ndp[changed + 1, prev_h] = min(ndp[changed + 1, prev_h], operate)
    dp = ndp
print(min(dp.values()))


Fixed submission:
from collections import defaultdict

n, k = map(int, input().split())
hhh = list(map(int, input().split()))
INF = 10 ** 18
dp = defaultdict(lambda: INF)
dp[0] = 0
mask1 = (1 << 10) - 1
mask2 = ((1 << 63) - 1) ^ mask1

for h in hhh:
    ndp = defaultdict(lambda: INF)
    h_key = h << 10
    for changed_prev_h, operate in dp.items():
        changed = changed_prev_h & mask1
        prev_h = changed_prev_h >> 10
        if h == prev_h:
            key = h_key + changed
            ndp[key] = min(ndp[key], operate)
        elif h > prev_h:
            key = h_key + changed
            ndp[key] = min(ndp[key], operate + h - prev_h)
            if changed < k:
                key = changed_prev_h + 1
                ndp[key] = min(ndp[key], operate)
        else:
            key = h_key + changed
            ndp[key] = min(ndp[key], operate)
            if changed < k:
                key = changed_prev_h + 1
                ndp[key] = min(ndp[key], operate)
    # print(h)
    # print(dict(dp))
    # print(dict(ndp))
    dp = ndp
print(min(dp.values()))