Buggy python submission (verdict: Runtime Error):
from decimal import *
import re
def solve2(m, n):
    maxreplen = 80
    PREC=200
    getcontext().prec = PREC
    x = Decimal(m) / Decimal(n)
    s = x.to_eng_string()
    if len(s) < PREC:
        return(s[2:],'')
    rep = 1
    while True:
        #r = r'(.{%d})\1{%d,}' % (rep, int(maxreplen/rep)-1)
        r = r'(.{%d})\1{%d,}' % (rep, 10)
                                         #ex. '(.{6})\\1{12,}'
        a=re.search(r, s)
        if a:
            break
        rep += 1
        if rep > maxreplen:
            raise ValueError('This cannot happen.')

    u = s[2:a.start()+len(a.group(1))]
    v = (' '*PREC + '^'*len(a.group(1)))[-len(u):]
    return(u,v)

while True:
    try:
        m,n = map(int, input().strip().split())
        s,t = solve2(m, n)
        print(s)
        if t!='':
            print(t)
    except EOFError:
        break

Fixed submission:
from decimal import *
import re
def solve2(m, n):
    maxlen = 80
    PREC=180
    getcontext().prec = PREC
    x = Decimal(m) / Decimal(n)
    s = x.to_eng_string()
    if len(s) < PREC:
        return(s[2:],'')
    rep = 1
    while True:
        r = r'(.{%d})\1{%d,}' % (rep, int(maxlen/rep))  #ex. '(.{6})\\1{13,}'
        a=re.search(r, s)
        if a:
            break
        rep += 1
        if rep > maxlen:
            raise ValueError('This cannot happen.rep=%d' % rep)

    u = s[2:a.start()+len(a.group(1))]
    v = (' '*PREC + '^'*len(a.group(1)))[-len(u):]
    return(u,v)

while True:
    try:
        m,n = map(int, input().strip().split())
        s,t = solve2(m, n)
        print(s)
        if t!='':
            print(t)
    except EOFError:
        break

Buggy python submission (verdict: Runtime Error):
from decimal import *
import re
def solve2(m, n):
    maxlen = 80
#    PREC=160
    PREC=200
    getcontext().prec = PREC
    x = Decimal(m) / Decimal(n)
    s = x.to_eng_string()
    if len(s) < PREC:
        return(s[2:],'')
    rep = 1
    while True:
        r = r'(.{%d})\1{%d,}' % (rep, int(PREC/rep)-1)
                                         #ex. '(.{6})\\1{12,}'
        a=re.search(r, s)
        if a:
            break
        rep += 1
        if rep > maxreplen:
            raise ValueError('This cannot happen.')

    u = s[2:a.start()+len(a.group(1))]
    v = (' '*PREC + '^'*len(a.group(1)))[-len(u):]
    return(u,v)

while True:
    try:
        m,n = map(int, input().strip().split())
        s,t = solve2(m, n)
        print(s)
        if t!='':
            print(t)
    except EOFError:
        break

Fixed submission:
from decimal import *
import re
def solve2(m, n):
    maxlen = 80
    PREC=180
    getcontext().prec = PREC
    x = Decimal(m) / Decimal(n)
    s = x.to_eng_string()
    if len(s) < PREC:
        return(s[2:],'')
    rep = 1
    while True:
        r = r'(.{%d})\1{%d,}' % (rep, int(maxlen/rep))  #ex. '(.{6})\\1{13,}'
        a=re.search(r, s)
        if a:
            break
        rep += 1
        if rep > maxlen:
            raise ValueError('This cannot happen.rep=%d' % rep)

    u = s[2:a.start()+len(a.group(1))]
    v = (' '*PREC + '^'*len(a.group(1)))[-len(u):]
    return(u,v)

while True:
    try:
        m,n = map(int, input().strip().split())
        s,t = solve2(m, n)
        print(s)
        if t!='':
            print(t)
    except EOFError:
        break

Buggy python submission (verdict: Runtime Error):
from decimal import *
import re
def solve2(m, n):
    maxlen = 85
    #maxlen = 160
    PREC=200
    #PREC=300
    getcontext().prec = PREC
    x = Decimal(m) / Decimal(n)
    s = x.to_eng_string()
    if len(s) < PREC:
        return(s[2:],'')
    rep = 1
    while True:
        clip = min(int(PREC/rep),20)
        #r = r'(.{%d})\1{%d,}' % (rep, int(PREC/rep)-1)
        r = r'(.{%d})\1{%d,}' % (rep, clip)
                                         #ex. '(.{6})\\1{12,}'
        a=re.search(r, s)
        if a:
            break
        rep += 1
        if rep > maxlen:
            raise ValueError('This cannot happen.')

    u = s[2:a.start()+len(a.group(1))]
    v = (' '*PREC + '^'*len(a.group(1)))[-len(u):]
    return(u,v)

while True:
    try:
        m,n = map(int, input().strip().split())
        s,t = solve2(m, n)
        print(s)
        if t!='':
            print(t)
    except EOFError:
        break

Fixed submission:
from decimal import *
import re
def solve2(m, n):
    maxlen = 80
    PREC=180
    getcontext().prec = PREC
    x = Decimal(m) / Decimal(n)
    s = x.to_eng_string()
    if len(s) < PREC:
        return(s[2:],'')
    rep = 1
    while True:
        r = r'(.{%d})\1{%d,}' % (rep, int(maxlen/rep))  #ex. '(.{6})\\1{13,}'
        a=re.search(r, s)
        if a:
            break
        rep += 1
        if rep > maxlen:
            raise ValueError('This cannot happen.rep=%d' % rep)

    u = s[2:a.start()+len(a.group(1))]
    v = (' '*PREC + '^'*len(a.group(1)))[-len(u):]
    return(u,v)

while True:
    try:
        m,n = map(int, input().strip().split())
        s,t = solve2(m, n)
        print(s)
        if t!='':
            print(t)
    except EOFError:
        break

Buggy python submission (verdict: Runtime Error):
from decimal import *
import re
def solve2(m, n):
    maxlen = 80
    PREC=200
    getcontext().prec = PREC
    x = Decimal(m) / Decimal(n)
    s = x.to_eng_string()
    if len(s) < PREC:
        return(s[2:],'')
    rep = 1
    while True:
        r = r'(.{%d})\1{%d,}' % (rep, int((PREC-40)/rep))  #ex. '(.{6})\\1{12,}'
        a=re.search(r, s)
        if a:
            break
        rep += 1
        if rep > maxlen:
            raise ValueError('This cannot happen.rep=%d' % rep)

    u = s[2:a.start()+len(a.group(1))]
    v = (' '*PREC + '^'*len(a.group(1)))[-len(u):]
    return(u,v)

while True:
    try:
        m,n = map(int, input().strip().split())
        s,t = solve2(m, n)
        print(s)
        if t!='':
            print(t)
    except EOFError:
        break

Fixed submission:
from decimal import *
import re
def solve2(m, n):
    maxlen = 80
    PREC=180
    getcontext().prec = PREC
    x = Decimal(m) / Decimal(n)
    s = x.to_eng_string()
    if len(s) < PREC:
        return(s[2:],'')
    rep = 1
    while True:
        r = r'(.{%d})\1{%d,}' % (rep, int(maxlen/rep))  #ex. '(.{6})\\1{13,}'
        a=re.search(r, s)
        if a:
            break
        rep += 1
        if rep > maxlen:
            raise ValueError('This cannot happen.rep=%d' % rep)

    u = s[2:a.start()+len(a.group(1))]
    v = (' '*PREC + '^'*len(a.group(1)))[-len(u):]
    return(u,v)

while True:
    try:
        m,n = map(int, input().strip().split())
        s,t = solve2(m, n)
        print(s)
        if t!='':
            print(t)
    except EOFError:
        break

Buggy python submission (verdict: Runtime Error):
from decimal import *
import re
def solve2(m, n):
    maxlen = 80
    PREC=200
    getcontext().prec = PREC
    x = Decimal(m) / Decimal(n)
    s = x.to_eng_string()
    if len(s) < PREC:
        return(s[2:],'')
    rep = 1
    while True:
        r = r'(.{%d})\1{%d,}' % (rep, int((PREC-20)/rep))  #ex. '(.{6})\\1{12,}'
        a=re.search(r, s)
        if a:
            break
        rep += 1
        if rep > maxlen:
            raise ValueError('This cannot happen.rep=%d' % rep)

    u = s[2:a.start()+len(a.group(1))]
    v = (' '*PREC + '^'*len(a.group(1)))[-len(u):]
    return(u,v)

while True:
    try:
        m,n = map(int, input().strip().split())
        s,t = solve2(m, n)
        print(s)
        if t!='':
            print(t)
    except EOFError:
        break

Fixed submission:
from decimal import *
import re
def solve2(m, n):
    maxlen = 80
    PREC=180
    getcontext().prec = PREC
    x = Decimal(m) / Decimal(n)
    s = x.to_eng_string()
    if len(s) < PREC:
        return(s[2:],'')
    rep = 1
    while True:
        r = r'(.{%d})\1{%d,}' % (rep, int(maxlen/rep))  #ex. '(.{6})\\1{13,}'
        a=re.search(r, s)
        if a:
            break
        rep += 1
        if rep > maxlen:
            raise ValueError('This cannot happen.rep=%d' % rep)

    u = s[2:a.start()+len(a.group(1))]
    v = (' '*PREC + '^'*len(a.group(1)))[-len(u):]
    return(u,v)

while True:
    try:
        m,n = map(int, input().strip().split())
        s,t = solve2(m, n)
        print(s)
        if t!='':
            print(t)
    except EOFError:
        break

Buggy python submission (verdict: Runtime Error):
from decimal import *
import re
def solve2(m, n):
    maxlen = 80
    PREC=300
    getcontext().prec = PREC
    x = Decimal(m) / Decimal(n)
    s = x.to_eng_string()
    if len(s) < PREC:
        return(s[2:],'')
    rep = 1
    while True:
        clip = max(int((PREC-20)/rep),1)
        r = r'(.{%d})\1{%d,}' % (rep, clip)  #ex. '(.{6})\\1{12,}'
        a=re.search(r, s)
        if a:
            break
        rep += 1
        if rep > maxlen:
            raise ValueError('This cannot happen.rep=%d' % rep)

    u = s[2:a.start()+len(a.group(1))]
    v = (' '*PREC + '^'*len(a.group(1)))[-len(u):]
    return(u,v)

while True:
    try:
        m,n = map(int, input().strip().split())
        s,t = solve2(m, n)
        print(s)
        if t!='':
            print(t)
    except EOFError:
        break

Fixed submission:
from decimal import *
import re
def solve2(m, n):
    maxlen = 80
    PREC=180
    getcontext().prec = PREC
    x = Decimal(m) / Decimal(n)
    s = x.to_eng_string()
    if len(s) < PREC:
        return(s[2:],'')
    rep = 1
    while True:
        r = r'(.{%d})\1{%d,}' % (rep, int(maxlen/rep))  #ex. '(.{6})\\1{13,}'
        a=re.search(r, s)
        if a:
            break
        rep += 1
        if rep > maxlen:
            raise ValueError('This cannot happen.rep=%d' % rep)

    u = s[2:a.start()+len(a.group(1))]
    v = (' '*PREC + '^'*len(a.group(1)))[-len(u):]
    return(u,v)

while True:
    try:
        m,n = map(int, input().strip().split())
        s,t = solve2(m, n)
        print(s)
        if t!='':
            print(t)
    except EOFError:
        break