Buggy python submission (verdict: Time Limit Exceeded):
import sys
input=sys.stdin.readline   #input高速化 １文字の時の改行文字に注意+

d={i:0 for i in range(3001)}
db={i:0 for i in range(3001)}

n,t=map(int,input().split())

x=sorted([tuple(map(int,input().split()))for i in range(n)],key=lambda xxx:xxx[0])
dp=[]
dp2=[]
for time,value in x:
    for k,v in d.copy().items():
        if k+time<t:
            if d[k+time]<v+value:
                d[k+time]=v+value
        else:
            break
    l=[0]
    for i in range(1,t+1):
        if d[i]>l[-1]:
            l.append(d[i])
        else:
            l.append(l[-1])

    dp.append(l)    
        
for time,value in x[::-1]:
    for k,v in db.copy().items():
        if k+time<t:
            if db[k+time]<v+value:
                db[k+time]=v+value
        else:
            break

    l=[0]
    for i in range(1,t+1):
        if db[i]>l[-1]:
            l.append(db[i])
        else:
            l.append(l[-1])
        
    dp2.append(l)
dp=[[0]*t,[0]*t]+dp
dp2=([[0]*t,[0]*t]+dp2)[::-1]

ans=0

for i in range(len(dp)):
    for j in range(t):
        if i==0 or i==len(dp)-1:
            tmp=dp[i][j]+dp2[i][t-j-1]
            if ans<tmp:
                ans=tmp
        else:
            tmp=dp[i][j]+dp2[i][t-j-1]+x[i-1][1]
            if tmp>ans:
                ans=tmp
print(ans)

Fixed submission:
import sys
input=sys.stdin.readline   #input高速化 １文字の時の改行文字に注意+

d={i:0 for i in range(3001)}
db={i:0 for i in range(3001)}

n,t=map(int,input().split())

x=[tuple(map(int,input().split()))for i in n*[0]]
x.sort()
dp=[]
dp2=[]
for time,value in x:
    for k,v in d.copy().items():
        if k+time<t:
            if d[k+time]<v+value:
                d[k+time]=v+value
        else:
            break
    l=[0]
    for i in range(1,t+1):
        if d[i]>l[-1]:
            l.append(d[i])
        else:
            l.append(l[-1])

    dp.append(l)    
        
for time,value in x[::-1]:
    for k,v in db.copy().items():
        if k+time<t:
            if db[k+time]<v+value:
                db[k+time]=v+value
        else:
            break

    l=[0]
    for i in range(1,t+1):
        if db[i]>l[-1]:
            l.append(db[i])
        else:
            l.append(l[-1])
        
    dp2.append(l)
dp=[[0]*t,[0]*t]+dp
dp2=([[0]*t,[0]*t]+dp2)[::-1]

ans=0

for i in range(len(dp)):
    for j in range(t):
        if i==0 or i==len(dp)-1:
            tmp=dp[i][j]+dp2[i][t-j-1]
            if ans<tmp:
                ans=tmp
        else:
            tmp=dp[i][j]+dp2[i][t-j-1]+x[i-1][1]
            if tmp>ans:
                ans=tmp
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input=sys.stdin.readline   #input高速化 １文字の時の改行文字に注意+

d={i:0 for i in range(3001)}
db={i:0 for i in range(3001)}

n,t=map(int,input().split())

x=[tuple(map(int,input().split()))for i in range(n)]

dp=[]
dp2=[]
for time,value in x:
    for k,v in d.copy().items():
        if k+time<t:
            if d[k+time]<v+value:
                d[k+time]=v+value
    l=[0]
    for i in range(1,t+1):
        if d[i]>l[-1]:
            l.append(d[i])
        else:
            l.append(l[-1])

    dp.append(l)    
        
for time,value in x[::-1]:
    for k,v in db.copy().items():
        if k+time<t:
            if db[k+time]<v+value:
                db[k+time]=v+value
    l=[0]
    for i in range(1,t+1):
        if db[i]>l[-1]:
            l.append(db[i])
        else:
            l.append(l[-1])
        
    dp2.append(l)
dp=[[0]*t,[0]*t]+dp
dp2=([[0]*t,[0]*t]+dp2)[::-1]

ans=0

for i in range(len(dp)):
    for j in range(t):
        if i==0 or i==len(dp)-1:
            tmp=dp[i][j]+dp2[i][t-j-1]
            if ans<tmp:
                ans=tmp
        else:
            tmp=dp[i][j]+dp2[i][t-j-1]+x[i-1][1]
            if tmp>ans:
                ans=tmp
print(ans)

Fixed submission:
import sys
input=sys.stdin.readline   #input高速化 １文字の時の改行文字に注意+

d={i:0 for i in range(3001)}
db={i:0 for i in range(3001)}

n,t=map(int,input().split())

x=[tuple(map(int,input().split()))for i in n*[0]]
x.sort()
dp=[]
dp2=[]
for time,value in x:
    for k,v in d.copy().items():
        if k+time<t:
            if d[k+time]<v+value:
                d[k+time]=v+value
        else:
            break
    l=[0]
    for i in range(1,t+1):
        if d[i]>l[-1]:
            l.append(d[i])
        else:
            l.append(l[-1])

    dp.append(l)    
        
for time,value in x[::-1]:
    for k,v in db.copy().items():
        if k+time<t:
            if db[k+time]<v+value:
                db[k+time]=v+value
        else:
            break

    l=[0]
    for i in range(1,t+1):
        if db[i]>l[-1]:
            l.append(db[i])
        else:
            l.append(l[-1])
        
    dp2.append(l)
dp=[[0]*t,[0]*t]+dp
dp2=([[0]*t,[0]*t]+dp2)[::-1]

ans=0

for i in range(len(dp)):
    for j in range(t):
        if i==0 or i==len(dp)-1:
            tmp=dp[i][j]+dp2[i][t-j-1]
            if ans<tmp:
                ans=tmp
        else:
            tmp=dp[i][j]+dp2[i][t-j-1]+x[i-1][1]
            if tmp>ans:
                ans=tmp
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import*
import sys
input=sys.stdin.readline   #input高速化 １文字の時の改行文字に注意+

d=defaultdict(int)
db=defaultdict(int)

d[0]=0
db[0]=0

n,t=map(int,input().split())

x=[tuple(map(int,input().split()))for i in range(n)]

dp=[]
dp2=[]
for time,value in x:
    for k,v in d.copy().items():
        if k+time<t:
            if d[k+time]<v+value:
                d[k+time]=v+value
    l=[0]
    for i in range(1,t+1):
        if d[i]>l[-1]:
            l.append(d[i])
        else:
            l.append(l[-1])

    dp.append(l)    
        
for time,value in x[::-1]:
    for k,v in db.copy().items():
        if k+time<t:
            if db[k+time]<v+value:
                db[k+time]=v+value
    l=[0]
    for i in range(1,t+1):
        if db[i]>l[-1]:
            l.append(db[i])
        else:
            l.append(l[-1])
        
    dp2.append(l)
dp=[[0]*t,[0]*t]+dp
dp2=([[0]*t,[0]*t]+dp2)[::-1]

ans=0

for i in range(len(dp)):
    for j in range(t):
        if i==0 or i==len(dp)-1:
            tmp=dp[i][j]+dp2[i][t-j-1]
            if ans<tmp:
                ans=tmp
        else:
            tmp=dp[i][j]+dp2[i][t-j-1]+x[i-1][1]
            if tmp>ans:
                ans=tmp
print(ans)

Fixed submission:
import sys
input=sys.stdin.readline   #input高速化 １文字の時の改行文字に注意+

d={i:0 for i in range(3001)}
db={i:0 for i in range(3001)}

n,t=map(int,input().split())

x=[tuple(map(int,input().split()))for i in n*[0]]
x.sort()
dp=[]
dp2=[]
for time,value in x:
    for k,v in d.copy().items():
        if k+time<t:
            if d[k+time]<v+value:
                d[k+time]=v+value
        else:
            break
    l=[0]
    for i in range(1,t+1):
        if d[i]>l[-1]:
            l.append(d[i])
        else:
            l.append(l[-1])

    dp.append(l)    
        
for time,value in x[::-1]:
    for k,v in db.copy().items():
        if k+time<t:
            if db[k+time]<v+value:
                db[k+time]=v+value
        else:
            break

    l=[0]
    for i in range(1,t+1):
        if db[i]>l[-1]:
            l.append(db[i])
        else:
            l.append(l[-1])
        
    dp2.append(l)
dp=[[0]*t,[0]*t]+dp
dp2=([[0]*t,[0]*t]+dp2)[::-1]

ans=0

for i in range(len(dp)):
    for j in range(t):
        if i==0 or i==len(dp)-1:
            tmp=dp[i][j]+dp2[i][t-j-1]
            if ans<tmp:
                ans=tmp
        else:
            tmp=dp[i][j]+dp2[i][t-j-1]+x[i-1][1]
            if tmp>ans:
                ans=tmp
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import*
import sys
input=sys.stdin.readline   #input高速化 １文字の時の改行文字に注意+

d=defaultdict(int)
db=defaultdict(int)

d[0]=0
db[0]=0

n,t=map(int,input().split())

x=[list(map(int,input().split()))for i in range(n)]

dp=[]
dp2=[]
for time,value in x:
    for k,v in d.copy().items():
        if k+time<t:
            if d[k+time]<v+value:
                d[k+time]=v+value
    l=[0]
    for i in range(1,t+1):
        if d[i]>l[-1]:
            l.append(d[i])
        else:
            l.append(l[-1])

    dp.append(l)    
        
for time,value in x[::-1]:
    for k,v in db.copy().items():
        if k+time<t:
            if db[k+time]<v+value:
                db[k+time]=v+value
    l=[0]
    for i in range(1,t+1):
        if db[i]>l[-1]:
            l.append(db[i])
        else:
            l.append(l[-1])
        
    dp2.append(l)
dp=[[0]*t,[0]*t]+dp
dp2=([[0]*t,[0]*t]+dp2)[::-1]

ans=0

for i in range(len(dp)):
    for j in range(t):
        if i==0 or i==len(dp)-1:
            if ans<dp[i][j]+dp2[i][t-j-1]:
                ans=dp[i][j]+dp2[i][t-j-1]
        else:
            if dp[i][j]+dp2[i][t-j-1]+x[i-1][1]>ans:
                ans=dp[i][j]+dp2[i][t-j-1]+x[i-1][1]
print(ans)


Fixed submission:
import sys
input=sys.stdin.readline   #input高速化 １文字の時の改行文字に注意+

d={i:0 for i in range(3001)}
db={i:0 for i in range(3001)}

n,t=map(int,input().split())

x=[tuple(map(int,input().split()))for i in n*[0]]
x.sort()
dp=[]
dp2=[]
for time,value in x:
    for k,v in d.copy().items():
        if k+time<t:
            if d[k+time]<v+value:
                d[k+time]=v+value
        else:
            break
    l=[0]
    for i in range(1,t+1):
        if d[i]>l[-1]:
            l.append(d[i])
        else:
            l.append(l[-1])

    dp.append(l)    
        
for time,value in x[::-1]:
    for k,v in db.copy().items():
        if k+time<t:
            if db[k+time]<v+value:
                db[k+time]=v+value
        else:
            break

    l=[0]
    for i in range(1,t+1):
        if db[i]>l[-1]:
            l.append(db[i])
        else:
            l.append(l[-1])
        
    dp2.append(l)
dp=[[0]*t,[0]*t]+dp
dp2=([[0]*t,[0]*t]+dp2)[::-1]

ans=0

for i in range(len(dp)):
    for j in range(t):
        if i==0 or i==len(dp)-1:
            tmp=dp[i][j]+dp2[i][t-j-1]
            if ans<tmp:
                ans=tmp
        else:
            tmp=dp[i][j]+dp2[i][t-j-1]+x[i-1][1]
            if tmp>ans:
                ans=tmp
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import*
import sys
input=sys.stdin.readline   #input高速化 １文字の時の改行文字に注意+

d=defaultdict(int)
db=defaultdict(int)

d[0]=0
db[0]=0

n,t=map(int,input().split())

x=[list(map(int,input().split()))for i in range(n)]

dp=[]
dp2=[]
for time,value in x:
    for k,v in d.copy().items():
        if k+time<t:
            if d[k+time]<v+value:
                d[k+time]=v+value
    l=[0]
    for i in range(1,t+1):
        l.append(max(d[i],l[-1]))
    dp.append(l)    
        
for time,value in x[::-1]:
    for k,v in db.copy().items():
        if k+time<t:
            if db[k+time]<v+value:
                db[k+time]=v+value
    l=[0]
    for i in range(1,t+1):
        l.append(max(db[i],l[-1]))
    dp2.append(l)
dp=[[0]*t,[0]*t]+dp
dp2=([[0]*t,[0]*t]+dp2)[::-1]

ans=0

for i in range(len(dp)):
    for j in range(t):
        if i==0 or i==len(dp)-1:
            if ans<dp[i][j]+dp2[i][t-j-1]:
                ans=dp[i][j]+dp2[i][t-j-1]
        else:
            if dp[i][j]+dp2[i][t-j-1]+x[i-1][1]>ans:
                ans=dp[i][j]+dp2[i][t-j-1]+x[i-1][1]
print(ans)


Fixed submission:
import sys
input=sys.stdin.readline   #input高速化 １文字の時の改行文字に注意+

d={i:0 for i in range(3001)}
db={i:0 for i in range(3001)}

n,t=map(int,input().split())

x=[tuple(map(int,input().split()))for i in n*[0]]
x.sort()
dp=[]
dp2=[]
for time,value in x:
    for k,v in d.copy().items():
        if k+time<t:
            if d[k+time]<v+value:
                d[k+time]=v+value
        else:
            break
    l=[0]
    for i in range(1,t+1):
        if d[i]>l[-1]:
            l.append(d[i])
        else:
            l.append(l[-1])

    dp.append(l)    
        
for time,value in x[::-1]:
    for k,v in db.copy().items():
        if k+time<t:
            if db[k+time]<v+value:
                db[k+time]=v+value
        else:
            break

    l=[0]
    for i in range(1,t+1):
        if db[i]>l[-1]:
            l.append(db[i])
        else:
            l.append(l[-1])
        
    dp2.append(l)
dp=[[0]*t,[0]*t]+dp
dp2=([[0]*t,[0]*t]+dp2)[::-1]

ans=0

for i in range(len(dp)):
    for j in range(t):
        if i==0 or i==len(dp)-1:
            tmp=dp[i][j]+dp2[i][t-j-1]
            if ans<tmp:
                ans=tmp
        else:
            tmp=dp[i][j]+dp2[i][t-j-1]+x[i-1][1]
            if tmp>ans:
                ans=tmp
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import*
import sys
input=sys.stdin.readline   #input高速化 １文字の時の改行文字に注意+

d=defaultdict(int)
db=defaultdict(int)

d[0]=0
db[0]=0

n,t=map(int,input().split())

x=[list(map(int,input().split()))for i in range(n)]

dp=[]
dp2=[]
for time,value in x:
    for k,v in d.copy().items():
        if k+time<t:
            if d[k+time]<v+value:
                d[k+time]=v+value
    l=[0]
    for i in range(1,t+1):
        l.append(max(d[i],l[-1]))
    dp.append(l)    
        
for time,value in x[::-1]:
    for k,v in db.copy().items():
        if k+time<t:
            if db[k+time]<v+value:
                db[k+time]=v+value
    l=[0]
    for i in range(1,t+1):
        l.append(max(db[i],l[-1]))
    dp2.append(l)
dp=[[0]*t,[0]*t]+dp
dp2=([[0]*t,[0]*t]+dp2)[::-1]

ans=0

for i in range(len(dp)):
    for j in range(t):
        if i==0 or i==len(dp)-1:
            if ans<dp[i][j]+dp2[i][t-j-1]:
                ans=dp[i][j]+dp2[i][t-j-1]
        else:
            if dp[i][j]+dp2[i][t-j-1]+x[i-1][1]>ans:
                ans=dp[i][j]+dp2[i][t-j-1]+x[i-1][1]
print(ans)


Fixed submission:
import sys
input=sys.stdin.readline   #input高速化 １文字の時の改行文字に注意+

d={i:0 for i in range(3001)}
db={i:0 for i in range(3001)}

n,t=map(int,input().split())

x=[tuple(map(int,input().split()))for i in n*[0]]
x.sort()
dp=[]
dp2=[]
for time,value in x:
    for k,v in d.copy().items():
        if k+time<t:
            if d[k+time]<v+value:
                d[k+time]=v+value
        else:
            break
    l=[0]
    for i in range(1,t+1):
        if d[i]>l[-1]:
            l.append(d[i])
        else:
            l.append(l[-1])

    dp.append(l)    
        
for time,value in x[::-1]:
    for k,v in db.copy().items():
        if k+time<t:
            if db[k+time]<v+value:
                db[k+time]=v+value
        else:
            break

    l=[0]
    for i in range(1,t+1):
        if db[i]>l[-1]:
            l.append(db[i])
        else:
            l.append(l[-1])
        
    dp2.append(l)
dp=[[0]*t,[0]*t]+dp
dp2=([[0]*t,[0]*t]+dp2)[::-1]

ans=0

for i in range(len(dp)):
    for j in range(t):
        if i==0 or i==len(dp)-1:
            tmp=dp[i][j]+dp2[i][t-j-1]
            if ans<tmp:
                ans=tmp
        else:
            tmp=dp[i][j]+dp2[i][t-j-1]+x[i-1][1]
            if tmp>ans:
                ans=tmp
print(ans)

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

d=defaultdict(int)
db=defaultdict(int)

d[0]=0
db[0]=0

n,t=map(int,input().split())

x=[list(map(int,input().split()))for i in range(n)]

dp=[]
dp2=[]
for time,value in x:
    for k,v in d.copy().items():
        if k+time<t:
            if d[k+time]<v+value:
                d[k+time]=v+value
    l=[0]
    for i in range(1,t+1):
        l.append(max(d[i],l[-1]))
    dp.append(l)    
        
for time,value in x[::-1]:
    for k,v in db.copy().items():
        if k+time<t:
            if db[k+time]<v+value:
                db[k+time]=v+value
    l=[0]
    for i in range(1,t+1):
        l.append(max(db[i],l[-1]))
    dp2.append(l)
dp=[[0]*t,[0]*t]+dp
dp2=([[0]*t,[0]*t]+dp2)[::-1]

ans=0
#print(dp2)
for i in range(len(dp)):
    for j in range(t):
#        print(ans,i)
        if i==0 or i==len(dp)-1:
            ans=max(dp[i][j]+dp2[i][t-j-1],ans)
        else:
#            print(i,t-j-1)
            dp2[i][t-j-1]
            ans=max(dp[i][j]+dp2[i][t-j-1]+x[i-1][1],ans)
    
print(ans)

Fixed submission:
import sys
input=sys.stdin.readline   #input高速化 １文字の時の改行文字に注意+

d={i:0 for i in range(3001)}
db={i:0 for i in range(3001)}

n,t=map(int,input().split())

x=[tuple(map(int,input().split()))for i in n*[0]]
x.sort()
dp=[]
dp2=[]
for time,value in x:
    for k,v in d.copy().items():
        if k+time<t:
            if d[k+time]<v+value:
                d[k+time]=v+value
        else:
            break
    l=[0]
    for i in range(1,t+1):
        if d[i]>l[-1]:
            l.append(d[i])
        else:
            l.append(l[-1])

    dp.append(l)    
        
for time,value in x[::-1]:
    for k,v in db.copy().items():
        if k+time<t:
            if db[k+time]<v+value:
                db[k+time]=v+value
        else:
            break

    l=[0]
    for i in range(1,t+1):
        if db[i]>l[-1]:
            l.append(db[i])
        else:
            l.append(l[-1])
        
    dp2.append(l)
dp=[[0]*t,[0]*t]+dp
dp2=([[0]*t,[0]*t]+dp2)[::-1]

ans=0

for i in range(len(dp)):
    for j in range(t):
        if i==0 or i==len(dp)-1:
            tmp=dp[i][j]+dp2[i][t-j-1]
            if ans<tmp:
                ans=tmp
        else:
            tmp=dp[i][j]+dp2[i][t-j-1]+x[i-1][1]
            if tmp>ans:
                ans=tmp
print(ans)

Buggy python submission (verdict: Runtime Error):
from collections import*

d=defaultdict(list)
n,t=map(int,input().split())

x=[list(map(int,input().split()))+[i]for i in range(n)]

d[0]=[0,[]]
for time,value,idx in x:
    for k,v in d.copy().items():
        if k+time<=t:
            if len(d[k+time])==2:
                if v[0]+value>d[k+time][0]:
                    d[k+time]=[v[0]+value,v[1]+[idx]]
            else:
                d[k+time]=[v[0]+value,v[1]+[idx]]



y,z=d[max(d.keys())]

for i in z[::-1]:
    del x[i]
    
print(y+max(i[1] for i in x))

Fixed submission:
import sys
input=sys.stdin.readline   #input高速化 １文字の時の改行文字に注意+

d={i:0 for i in range(3001)}
db={i:0 for i in range(3001)}

n,t=map(int,input().split())

x=[tuple(map(int,input().split()))for i in n*[0]]
x.sort()
dp=[]
dp2=[]
for time,value in x:
    for k,v in d.copy().items():
        if k+time<t:
            if d[k+time]<v+value:
                d[k+time]=v+value
        else:
            break
    l=[0]
    for i in range(1,t+1):
        if d[i]>l[-1]:
            l.append(d[i])
        else:
            l.append(l[-1])

    dp.append(l)    
        
for time,value in x[::-1]:
    for k,v in db.copy().items():
        if k+time<t:
            if db[k+time]<v+value:
                db[k+time]=v+value
        else:
            break

    l=[0]
    for i in range(1,t+1):
        if db[i]>l[-1]:
            l.append(db[i])
        else:
            l.append(l[-1])
        
    dp2.append(l)
dp=[[0]*t,[0]*t]+dp
dp2=([[0]*t,[0]*t]+dp2)[::-1]

ans=0

for i in range(len(dp)):
    for j in range(t):
        if i==0 or i==len(dp)-1:
            tmp=dp[i][j]+dp2[i][t-j-1]
            if ans<tmp:
                ans=tmp
        else:
            tmp=dp[i][j]+dp2[i][t-j-1]+x[i-1][1]
            if tmp>ans:
                ans=tmp
print(ans)