Buggy python submission (verdict: Time Limit Exceeded):
def dp_solver(tmp):
    l=len(tmp)
    rev=tmp[::-1]+"0"
    dp=[[float("inf") for _ in range(2)] for _ in range(l+2)]
    dp[0][0]=0
    for i in range(l+1):
        for j in range(2):
            num=int(rev[i])
            num+=j
            if num<10:
                dp[i+1][0]=min(dp[i+1][0],dp[i][j]+num)
            if num>0:
                dp[i+1][1]=min(dp[i+1][1],dp[i][j]+(10-num))

    #import numpy as np
    #dp=np.array(dp)
    return(dp[l+1])

s=input()
ans=dp_solver(s)
print(ans[0])

Fixed submission:
def dp_solver(tmp):
    l=len(tmp)
    rev=tmp[::-1]+"0"
    dp=[[float("inf") for _ in range(2)] for _ in range(l+2)]
    dp[0][0]=0
    for i in range(l+1):
        for j in range(2):
            num=int(rev[i])
            num+=j
            if num<10:
                dp[i+1][0]=min(dp[i+1][0],dp[i][j]+num)
            if num>0:
                dp[i+1][1]=min(dp[i+1][1],dp[i][j]+(10-num))

    import numpy as np
    dp=np.array(dp)
    return(dp[l+1])

def y_solver(tmp):
    l=len(tmp)
    rev=tmp[::-1]+"0"
    seq_flag=False
    ans=0
    next_bit=0
    kuri_cal=0
    for i in range(l-1):
        num=int(rev[i])+next_bit
        next_num=int(rev[i+1])
        if not seq_flag:
            if (num<5) or (num==5 and next_num<5):
                ans+=num
                next_bit=0
                kuri_cal=0
                continue
            seq_s=i
            seq_flag=True
            kuri_cal=10-num
            next_bit+=1
            continue
        #print(kuri_cal)
        if num<5:
            ans+=(kuri_cal+num)
            kuri_cal=0
            next_bit=0
            seq_flag=False
        elif num>5:
            kuri_cal+=10-num
        else:
            if next_num<5:
                ans+=(kuri_cal+num)
                next_bit=0
                kuri_cal=0
                seq_flag=False
            else:
                kuri_cal+=10-num
    last=int(tmp[0])+next_bit
    ans+=kuri_cal+min(last,11-last)
    return ans

n=input()
ans=y_solver(n)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
def dp_solver(tmp):
    l=len(tmp)
    rev=tmp[::-1]+"0"
    dp=[[float("inf") for _ in range(2)] for _ in range(l+2)]
    dp[0][0]=0
    for i in range(l+1):
        for j in range(2):
            num=int(rev[i])
            num+=j
            if num<10:
                dp[i+1][0]=min(dp[i+1][0],dp[i][j]+num)
            if num>0:
                dp[i+1][1]=min(dp[i+1][1],dp[i][j]+(10-num))

    return(dp[l+1][0])

def y_solver(tmp):
    l=len(tmp)
    rev=tmp[::-1]+"0"
    seq_flag=False
    ans=0
    next_bit=0
    kuri_cal=0
    for i in range(l-1):
        num=int(rev[i])+next_bit
        next_num=int(rev[i+1])
        if not seq_flag:
            if (num<5) or (num==5 and next_num<5):
                ans+=num
                next_bit=0
                kuri_cal=0
                continue
            seq_s=i
            seq_flag=True
            kuri_cal=10-num
            next_bit+=1
            continue
        #print(kuri_cal)
        if num<5:
            ans+=(kuri_cal+num)
            kuri_cal=0
            next_bit=0
            seq_flag=False
        elif num>5:
            kuri_cal+=10-num
        else:
            if next_num<5:
                ans+=(kuri_cal+num)
                next_bit=0
                kuri_cal=0
                seq_flag=False
            else:
                kuri_cal+=10-num
    last=int(tmp[0])+next_bit
    ans+=kuri_cal+min(last,11-last)
    return ans

n=input()
ans=dp_solver(n)
print(ans)

Fixed submission:
def dp_solver(tmp):
    l=len(tmp)
    rev=tmp[::-1]+"0"
    dp=[[float("inf") for _ in range(2)] for _ in range(l+2)]
    dp[0][0]=0
    for i in range(l+1):
        for j in range(2):
            num=int(rev[i])
            num+=j
            if num<10:
                dp[i+1][0]=min(dp[i+1][0],dp[i][j]+num)
            if num>0:
                dp[i+1][1]=min(dp[i+1][1],dp[i][j]+(10-num))

    import numpy as np
    dp=np.array(dp)
    return(dp[l+1])

def y_solver(tmp):
    l=len(tmp)
    rev=tmp[::-1]+"0"
    seq_flag=False
    ans=0
    next_bit=0
    kuri_cal=0
    for i in range(l-1):
        num=int(rev[i])+next_bit
        next_num=int(rev[i+1])
        if not seq_flag:
            if (num<5) or (num==5 and next_num<5):
                ans+=num
                next_bit=0
                kuri_cal=0
                continue
            seq_s=i
            seq_flag=True
            kuri_cal=10-num
            next_bit+=1
            continue
        #print(kuri_cal)
        if num<5:
            ans+=(kuri_cal+num)
            kuri_cal=0
            next_bit=0
            seq_flag=False
        elif num>5:
            kuri_cal+=10-num
        else:
            if next_num<5:
                ans+=(kuri_cal+num)
                next_bit=0
                kuri_cal=0
                seq_flag=False
            else:
                kuri_cal+=10-num
    last=int(tmp[0])+next_bit
    ans+=kuri_cal+min(last,11-last)
    return ans

n=input()
ans=y_solver(n)
print(ans)

Buggy python submission (verdict: Runtime Error):
###間違っとる！！！！
#tmp="9"*(10**6)
tmp=input()
#tmp="78164062862089986280348253421170"
#tmp="314159265358979323846264338327950288419716939937551058209749445923078164062862089986280348253421170"
#tmp="846"
#tmp="253421170"
l=len(tmp)
#print(l)
rev=tmp[::-1]+"0"
seq_flag=False
ans=0
debug=[]
ans_arr=[]
next_bit=0
for i in range(l-1):
    num=int(rev[i])+next_bit
    next_num=int(rev[i+1])
    if not seq_flag:
        if (num<5) or (num==5 and next_num<5):
            ans+=num
            ans_arr.append(ans)
            next_bit=0
            kuri_cal=0
            continue
        seq_s=i
        seq_flag=True
        kuri_cal=10-num
        next_bit+=1
        continue
    #print(kuri_cal)
    if num<5:
        ans+=(kuri_cal+num)
        next_bit=0
        seq_flag=False
    elif num>5:
        kuri_cal+=10-num
    else:
        if next_num<5:
            ans+=(kuri_cal+num)
            next_bit=0
            seq_flag=False
        else:
            kuri_cal+=10-num
        
"""    
        
    if next_num+next_bit<5:
        ans+=(kuri_cal+2)
        ans_arr.append(ans)
        debug.append([i,ans-1])
        seq_flag=False"""
#print(ans)
last=int(tmp[0])+next_bit
#print(last)
#print(kuri_cal)
ans+=kuri_cal+min(last,11-last)
ans_arr.append(ans)
print(ans)

Fixed submission:
def dp_solver(tmp):
    l=len(tmp)
    rev=tmp[::-1]+"0"
    dp=[[float("inf") for _ in range(2)] for _ in range(l+2)]
    dp[0][0]=0
    for i in range(l+1):
        for j in range(2):
            num=int(rev[i])
            num+=j
            if num<10:
                dp[i+1][0]=min(dp[i+1][0],dp[i][j]+num)
            if num>0:
                dp[i+1][1]=min(dp[i+1][1],dp[i][j]+(10-num))

    import numpy as np
    dp=np.array(dp)
    return(dp[l+1])

def y_solver(tmp):
    l=len(tmp)
    rev=tmp[::-1]+"0"
    seq_flag=False
    ans=0
    next_bit=0
    kuri_cal=0
    for i in range(l-1):
        num=int(rev[i])+next_bit
        next_num=int(rev[i+1])
        if not seq_flag:
            if (num<5) or (num==5 and next_num<5):
                ans+=num
                next_bit=0
                kuri_cal=0
                continue
            seq_s=i
            seq_flag=True
            kuri_cal=10-num
            next_bit+=1
            continue
        #print(kuri_cal)
        if num<5:
            ans+=(kuri_cal+num)
            kuri_cal=0
            next_bit=0
            seq_flag=False
        elif num>5:
            kuri_cal+=10-num
        else:
            if next_num<5:
                ans+=(kuri_cal+num)
                next_bit=0
                kuri_cal=0
                seq_flag=False
            else:
                kuri_cal+=10-num
    last=int(tmp[0])+next_bit
    ans+=kuri_cal+min(last,11-last)
    return ans

n=input()
ans=y_solver(n)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
tmp=input()
#tmp="9"*(10**5)
l=len(tmp)
rev=tmp[::-1]+"0"

dp=[[float("inf") for _ in range(2)] for _ in range(l+2)]
dp[0][0]=0
for i in range(l+1):
    for j in range(2):
        num=int(rev[i])
        num+=j
        if num<10:
            dp[i+1][0]=min(dp[i+1][0],dp[i][j]+num)
        if num>0:
            dp[i+1][1]=min(dp[i+1][1],dp[i][j]+(10-num))

import numpy as np
#dp=np.array(dp)
print(dp[-1][0])

Fixed submission:
def dp_solver(tmp):
    l=len(tmp)
    rev=tmp[::-1]+"0"
    dp=[[float("inf") for _ in range(2)] for _ in range(l+2)]
    dp[0][0]=0
    for i in range(l+1):
        for j in range(2):
            num=int(rev[i])
            num+=j
            if num<10:
                dp[i+1][0]=min(dp[i+1][0],dp[i][j]+num)
            if num>0:
                dp[i+1][1]=min(dp[i+1][1],dp[i][j]+(10-num))

    import numpy as np
    dp=np.array(dp)
    return(dp[l+1])

def y_solver(tmp):
    l=len(tmp)
    rev=tmp[::-1]+"0"
    seq_flag=False
    ans=0
    next_bit=0
    kuri_cal=0
    for i in range(l-1):
        num=int(rev[i])+next_bit
        next_num=int(rev[i+1])
        if not seq_flag:
            if (num<5) or (num==5 and next_num<5):
                ans+=num
                next_bit=0
                kuri_cal=0
                continue
            seq_s=i
            seq_flag=True
            kuri_cal=10-num
            next_bit+=1
            continue
        #print(kuri_cal)
        if num<5:
            ans+=(kuri_cal+num)
            kuri_cal=0
            next_bit=0
            seq_flag=False
        elif num>5:
            kuri_cal+=10-num
        else:
            if next_num<5:
                ans+=(kuri_cal+num)
                next_bit=0
                kuri_cal=0
                seq_flag=False
            else:
                kuri_cal+=10-num
    last=int(tmp[0])+next_bit
    ans+=kuri_cal+min(last,11-last)
    return ans

n=input()
ans=y_solver(n)
print(ans)