Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
import sys
sys.setrecursionlimit(10**9)
INF=10**18
MOD=10**9+7
input=lambda: sys.stdin.readline().rstrip()
YesNo=lambda b: bool([print('Yes')] if b else print('No'))
YESNO=lambda b: bool([print('YES')] if b else print('NO'))
int1=lambda x:int(x)-1

def main():
    N,K=map(int,input().split())
    N+=2
    H=[0]+list(map(int,input().split()))+[0]
    edge=[[] for _ in range(N*(K+1))]
    for i in range(N):
        for j in range(K+1):
            for k in range(K+1-j):
                if i+k+1<N and N-1-i>=K-(k+j):
                    edge[i*(K+1)+j].append((max(H[i+k+1]-H[i],0),(i+k+1)*(K+1)+j+k))
    from heapq import heappop,heappush
    def dijkstra(start,n,edges):
        d=[INF]*n
        used=[False]*n
        d[start]=0
        used[start]=True
        edgelist=[]
        for edge in edges[start]:
            heappush(edgelist,edge)
        while edgelist:
            minedge=heappop(edgelist)
            if used[minedge[1]]:
                continue
            v=minedge[1]
            d[v]=minedge[0]
            used[v]=True
            for edge in edges[v]:
                if not used[edge[1]]:
                    heappush(edgelist,(edge[0]+d[v],edge[1]))
        return d
    d=dijkstra(0,N*(K+1),edge)
    print(min(d[(N-1)*(K+1):]))

if __name__ == '__main__':
    main()


Fixed submission:
# -*- coding: utf-8 -*-
import sys
sys.setrecursionlimit(10**9)
INF=10**18
MOD=10**9+7
input=lambda: sys.stdin.readline().rstrip()
YesNo=lambda b: bool([print('Yes')] if b else print('No'))
YESNO=lambda b: bool([print('YES')] if b else print('NO'))
int1=lambda x:int(x)-1

def main():
    N,K=map(int,input().split())
    N+=1
    H=[0]+list(map(int,input().split()))+[0]
    dp=[[INF]*(K+1) for _ in range(N+1)]
    dp[0][0]=0
    for i in range(N):
        for j in range(K+1):
            for k in range(j,K+1):
                if i-(k-j)>=0:
                    dp[i+1][k]=min(dp[i+1][k],dp[i-(k-j)][j]+max(H[i+1]-H[i-(k-j)],0))
                    pass
    print(dp[-1][-1])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
import sys
sys.setrecursionlimit(10**9)
INF=10**18
MOD=10**9+7
input=lambda: sys.stdin.readline().rstrip()
YesNo=lambda b: bool([print('Yes')] if b else print('No'))
YESNO=lambda b: bool([print('YES')] if b else print('NO'))
int1=lambda x:int(x)-1

def main():
    N,K=map(int,input().split())
    N+=2
    H=[0]+list(map(int,input().split()))+[0]
    edge=[[] for _ in range(N*(K+1))]
    for i in range(N):
        for j in range(K+1):
            for k in range(K+1-j):
                if i+k+1<N and N-1-i>=K-(k+j):
                    edge[i*(K+1)+j].append((max(H[i+k+1]-H[i],0),(i+k+1)*(K+1)+j+k))
    from heapq import heappop,heappush
    def dijkstra(start,n,edges):
        d=[INF]*n
        used=[False]*n
        d[start]=0
        used[start]=True
        edgelist=[]
        for edge in edges[start]:
            heappush(edgelist,edge)
        while edgelist:
            minedge=heappop(edgelist)
            if used[minedge[1]]:
                continue
            v=minedge[1]
            d[v]=minedge[0]
            used[v]=True
            for edge in edges[v]:
                if not used[edge[1]]:
                    heappush(edgelist,(edge[0]+d[v],edge[1]))
        return d
    d=dijkstra(0,N*(K+1),edge)
    print(min(d[(N-1)*(K+1):]))

if __name__ == '__main__':
    main()


Fixed submission:
# -*- coding: utf-8 -*-
import sys
sys.setrecursionlimit(10**9)
INF=10**18
MOD=10**9+7
input=lambda: sys.stdin.readline().rstrip()
YesNo=lambda b: bool([print('Yes')] if b else print('No'))
YESNO=lambda b: bool([print('YES')] if b else print('NO'))
int1=lambda x:int(x)-1

def main():
    N,K=map(int,input().split())
    N+=1
    H=[0]+list(map(int,input().split()))+[0]
    dp=[[INF]*(K+1) for _ in range(N+1)]
    dp[0][0]=0
    for i in range(N):
        for j in range(K+1):
            for k in range(j,K+1):
                if i-(k-j)>=0:
                    dp[i+1][k]=min(dp[i+1][k],dp[i-(k-j)][j]+max(H[i+1]-H[i-(k-j)],0))
                    pass
    print(dp[-1][-1])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
import sys
sys.setrecursionlimit(10**9)
INF=10**18
MOD=10**9+7
input=lambda: sys.stdin.readline().rstrip()
YesNo=lambda b: bool([print('Yes')] if b else print('No'))
YESNO=lambda b: bool([print('YES')] if b else print('NO'))
int1=lambda x:int(x)-1

def main():
    N,K=map(int,input().split())
    N+=2
    H=[0]+list(map(int,input().split()))+[0]
    edge=[[] for _ in range(N*(K+1))]
    for i in range(N):
        for j in range(K+1):
            for k in range(K+1-j):
                if i+k+1<N:
                    edge[i*(K+1)+j].append((max(H[i+k+1]-H[i],0),(i+k+1)*(K+1)+j+k))
    from heapq import heappop,heappush
    def dijkstra(start,n,edges):
        d=[INF]*n
        used=[False]*n
        d[start]=0
        used[start]=True
        edgelist=[]
        for edge in edges[start]:
            heappush(edgelist,edge)
        while edgelist:
            minedge=heappop(edgelist)
            if used[minedge[1]]:
                continue
            v=minedge[1]
            d[v]=minedge[0]
            used[v]=True
            for edge in edges[v]:
                if not used[edge[1]]:
                    heappush(edgelist,(edge[0]+d[v],edge[1]))
        return d
    d=dijkstra(0,N*(K+1),edge)
    print(min(d[(N-1)*(K+1):]))

if __name__ == '__main__':
    main()


Fixed submission:
# -*- coding: utf-8 -*-
import sys
sys.setrecursionlimit(10**9)
INF=10**18
MOD=10**9+7
input=lambda: sys.stdin.readline().rstrip()
YesNo=lambda b: bool([print('Yes')] if b else print('No'))
YESNO=lambda b: bool([print('YES')] if b else print('NO'))
int1=lambda x:int(x)-1

def main():
    N,K=map(int,input().split())
    N+=1
    H=[0]+list(map(int,input().split()))+[0]
    dp=[[INF]*(K+1) for _ in range(N+1)]
    dp[0][0]=0
    for i in range(N):
        for j in range(K+1):
            for k in range(j,K+1):
                if i-(k-j)>=0:
                    dp[i+1][k]=min(dp[i+1][k],dp[i-(k-j)][j]+max(H[i+1]-H[i-(k-j)],0))
                    pass
    print(dp[-1][-1])

if __name__ == '__main__':
    main()