Buggy python submission (verdict: Time Limit Exceeded):
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num, p = 0, i ,[0]
        for _ in range(h):
            p.append(p[-1]+num%2)
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]
        for j in range(w):
            num = i
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p[m]] += s[m][j]
            if max(nex) > k:
                x = float('inf')
                break            
            for m in range(checker+1):
                c[m] += nex[m]
                if c[m]>k:
                    c = nex
                    x += 1
                    break
        result.append(checker+x)
print(min(result))

Fixed submission:
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]
        
        num = i
        p = 0
        nex = [0 for _ in range(checker+1)]
        for m in range(h):
            nex[p] += s[m][0]
            p += num%2
            num = num >> 1
        if max(nex) > k:
            x = float('inf')
            continue

        if all(nex[m]+c[m] <= k for m in range(checker+1)):
            c = [c[I]+nex[I] for I in range(checker+1)]
        else:
            x += 1

        for j in range(1, w):
            num = i
            p = 0
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1
            if max(nex) > k:
                x = float('inf')
                break            
            
            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Buggy python submission (verdict: Time Limit Exceeded):
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num, p = 0, i ,[0]
        for _ in range(h):
            p.append(p[-1]+num%2)
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]
        for j in range(w):
            num = i
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p[m]] += s[m][j]
            if max(nex) > k:
                x = float('inf')
                break            
            
            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Fixed submission:
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]
        
        num = i
        p = 0
        nex = [0 for _ in range(checker+1)]
        for m in range(h):
            nex[p] += s[m][0]
            p += num%2
            num = num >> 1
        if max(nex) > k:
            x = float('inf')
            continue

        if all(nex[m]+c[m] <= k for m in range(checker+1)):
            c = [c[I]+nex[I] for I in range(checker+1)]
        else:
            x += 1

        for j in range(1, w):
            num = i
            p = 0
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1
            if max(nex) > k:
                x = float('inf')
                break            
            
            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Buggy python submission (verdict: Runtime Error):
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]
        
        num = i
        p = []
        for m in range(h):
            p.append(num%2)
            num >>= 1
        nex = [0 for _ in range(checker+1)]
        for m in range(h):
            nex[p[m]] += s[m][0]
        if max(nex) > k:
            x = float('inf')
            continue

        if all(nex[m]+c[m] <= k for m in range(checker+1)):
            c = [c[I]+nex[I] for I in range(checker+1)]
        else:
            x += 1

        for j in range(1, w):
            num = i
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p[m]] += s[m][j]
            if max(nex) > k:
                x = float('inf')
                break            
            
            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))


Fixed submission:
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]
        
        num = i
        p = 0
        nex = [0 for _ in range(checker+1)]
        for m in range(h):
            nex[p] += s[m][0]
            p += num%2
            num = num >> 1
        if max(nex) > k:
            x = float('inf')
            continue

        if all(nex[m]+c[m] <= k for m in range(checker+1)):
            c = [c[I]+nex[I] for I in range(checker+1)]
        else:
            x += 1

        for j in range(1, w):
            num = i
            p = 0
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1
            if max(nex) > k:
                x = float('inf')
                break            
            
            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Buggy python submission (verdict: Runtime Error):
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]
        
        num = i
        p = []
        for m in range(h):
            p.append(num%2)
            num >>= 1
        nex = [0 for _ in range(checker+1)]
        for m in range(h):
            nex[p[m]] += s[m][0]
        if max(nex) > k:
            x = float('inf')
            continue

        if all(nex[m]+c[m] <= k for m in range(checker+1)):
            c = [c[I]+nex[I] for I in range(checker+1)]
        else:
            x += 1

        for j in range(1, w):
            num = i
            p = 0
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1
            if max(nex) > k:
                x = float('inf')
                break            
            
            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Fixed submission:
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]
        
        num = i
        p = 0
        nex = [0 for _ in range(checker+1)]
        for m in range(h):
            nex[p] += s[m][0]
            p += num%2
            num = num >> 1
        if max(nex) > k:
            x = float('inf')
            continue

        if all(nex[m]+c[m] <= k for m in range(checker+1)):
            c = [c[I]+nex[I] for I in range(checker+1)]
        else:
            x += 1

        for j in range(1, w):
            num = i
            p = 0
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1
            if max(nex) > k:
                x = float('inf')
                break            
            
            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Buggy python submission (verdict: Runtime Error):
h, w, k = map(int, input().split())
s = [int(input()) for _ in range(h)]

result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        use_s = s.copy()
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0]*(checker+1)

        for j in range(w):
            num = i
            p = 0
            nex = [0]*(checker+1)
            for m in range(h):
                nex[p] += use_s[m]%10
                use_s[m] //= 10
                p += num%2
                num = num >> 1          
            if max(nex)>k:
                x = 10**5
                break

            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Fixed submission:
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]
        
        num = i
        p = 0
        nex = [0 for _ in range(checker+1)]
        for m in range(h):
            nex[p] += s[m][0]
            p += num%2
            num = num >> 1
        if max(nex) > k:
            x = float('inf')
            continue

        if all(nex[m]+c[m] <= k for m in range(checker+1)):
            c = [c[I]+nex[I] for I in range(checker+1)]
        else:
            x += 1

        for j in range(1, w):
            num = i
            p = 0
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1
            if max(nex) > k:
                x = float('inf')
                break            
            
            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Buggy python submission (verdict: Time Limit Exceeded):
h, w, k = map(int, input().split())
s = [int(input()) for _ in range(h)]

result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        use_s = s.copy()
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0]*(checker+1)

        for j in range(w):
            num = i
            p = 0
            nex = [0]*(checker+1)
            for m in range(h):
                nex[p] += use_s[m]%10
                use_s[m] //= 10
                p += num%2
                num = num >> 1          
            if max(nex)>k:
                x = 10**5
                break

            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Fixed submission:
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]
        
        num = i
        p = 0
        nex = [0 for _ in range(checker+1)]
        for m in range(h):
            nex[p] += s[m][0]
            p += num%2
            num = num >> 1
        if max(nex) > k:
            x = float('inf')
            continue

        if all(nex[m]+c[m] <= k for m in range(checker+1)):
            c = [c[I]+nex[I] for I in range(checker+1)]
        else:
            x += 1

        for j in range(1, w):
            num = i
            p = 0
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1
            if max(nex) > k:
                x = float('inf')
                break            
            
            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Buggy python submission (verdict: Time Limit Exceeded):
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0]*(checker+1)

        for j in range(w):
            num = i
            p = 0
            nex = [0]*(checker+1)
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1          
            if max(nex)>k:
                x = 10**5
                break

            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Fixed submission:
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]
        
        num = i
        p = 0
        nex = [0 for _ in range(checker+1)]
        for m in range(h):
            nex[p] += s[m][0]
            p += num%2
            num = num >> 1
        if max(nex) > k:
            x = float('inf')
            continue

        if all(nex[m]+c[m] <= k for m in range(checker+1)):
            c = [c[I]+nex[I] for I in range(checker+1)]
        else:
            x += 1

        for j in range(1, w):
            num = i
            p = 0
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1
            if max(nex) > k:
                x = float('inf')
                break            
            
            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Buggy python submission (verdict: Time Limit Exceeded):
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]

        for j in range(w):
            num = i
            p = 0
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1          
            if max(nex)>k:
                x = 10**5
                break

            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Fixed submission:
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]
        
        num = i
        p = 0
        nex = [0 for _ in range(checker+1)]
        for m in range(h):
            nex[p] += s[m][0]
            p += num%2
            num = num >> 1
        if max(nex) > k:
            x = float('inf')
            continue

        if all(nex[m]+c[m] <= k for m in range(checker+1)):
            c = [c[I]+nex[I] for I in range(checker+1)]
        else:
            x += 1

        for j in range(1, w):
            num = i
            p = 0
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1
            if max(nex) > k:
                x = float('inf')
                break            
            
            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Buggy python submission (verdict: Time Limit Exceeded):
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]

        for j in range(w):
            num = i
            p = 0
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1          
            if any(nex[m]>k for m in range(checker+1)):
                x = -1
                break

            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        if x >= 0:
            result.append(checker+x)
print(min(result))

Fixed submission:
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]
        
        num = i
        p = 0
        nex = [0 for _ in range(checker+1)]
        for m in range(h):
            nex[p] += s[m][0]
            p += num%2
            num = num >> 1
        if max(nex) > k:
            x = float('inf')
            continue

        if all(nex[m]+c[m] <= k for m in range(checker+1)):
            c = [c[I]+nex[I] for I in range(checker+1)]
        else:
            x += 1

        for j in range(1, w):
            num = i
            p = 0
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1
            if max(nex) > k:
                x = float('inf')
                break            
            
            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Buggy python submission (verdict: Time Limit Exceeded):
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]

        for j in range(w):
            num = i
            p = 0
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1
            if max(nex) > k:
                x = -1
                break            
            
            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        if x >= 0:
            result.append(checker+x)
print(min(result))

Fixed submission:
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]
        
        num = i
        p = 0
        nex = [0 for _ in range(checker+1)]
        for m in range(h):
            nex[p] += s[m][0]
            p += num%2
            num = num >> 1
        if max(nex) > k:
            x = float('inf')
            continue

        if all(nex[m]+c[m] <= k for m in range(checker+1)):
            c = [c[I]+nex[I] for I in range(checker+1)]
        else:
            x += 1

        for j in range(1, w):
            num = i
            p = 0
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1
            if max(nex) > k:
                x = float('inf')
                break            
            
            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Buggy python submission (verdict: Time Limit Exceeded):
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]
        
        num = i
        p = 0
        nex = [0 for _ in range(checker+1)]
        for m in range(h):
            nex[p] += s[m][0]
            p += num%2
            num = num >> 1
        if max(nex) > k:
            x = float('inf')
            continue

        if all(nex[m]+c[m] <= k for m in range(checker+1)):
            c = [c[I]+nex[I] for I in range(checker+1)]
        else:
            x += 1

        for j in range(1, w):
            num = i
            p = 0
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1
            if max(nex) > k:
                x = float('inf')
                break            
            
            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Fixed submission:
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]
        
        num = i
        p = 0
        nex = [0 for _ in range(checker+1)]
        for m in range(h):
            nex[p] += s[m][0]
            p += num%2
            num = num >> 1
        if max(nex) > k:
            x = float('inf')
            continue

        if all(nex[m]+c[m] <= k for m in range(checker+1)):
            c = [c[I]+nex[I] for I in range(checker+1)]
        else:
            x += 1

        for j in range(1, w):
            num = i
            p = 0
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1
            if max(nex) > k:
                x = float('inf')
                break            
            
            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))

Buggy python submission (verdict: Time Limit Exceeded):
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
for i in range(2**(h-1)):
    checker = format(i, "0"+str(h)+"b").count("1")
    x = 0
    c = [0 for _ in range(checker+1)]
    for j in range(w):
        num = i
        p = 0
        nex = [0 for _ in range(checker+1)]
        for m in range(h):
            nex[p] += s[m][j]
            p += num%2
            num = num >> 1
        
        if all(nex[m]+c[m] <= k for m in range(checker+1)):
            c = [c[I]+nex[I] for I in range(checker+1)]
        else:
            x += 1
            c = nex
    result.append(checker+x)
print(min(result))

Fixed submission:
h, w, k = map(int, input().split())
s = [list(map(int, list(input()))) for _ in range(h)]
result = []
if h*w<=k:
    result.append(0)
else:
    for i in range(2**(h-1)):
        checker, num = 0, i
        while num > 0:
            checker += num%2
            num >>= 1
        x = 0
        c = [0 for _ in range(checker+1)]
        
        num = i
        p = 0
        nex = [0 for _ in range(checker+1)]
        for m in range(h):
            nex[p] += s[m][0]
            p += num%2
            num = num >> 1
        if max(nex) > k:
            x = float('inf')
            continue

        if all(nex[m]+c[m] <= k for m in range(checker+1)):
            c = [c[I]+nex[I] for I in range(checker+1)]
        else:
            x += 1

        for j in range(1, w):
            num = i
            p = 0
            nex = [0 for _ in range(checker+1)]
            for m in range(h):
                nex[p] += s[m][j]
                p += num%2
                num = num >> 1
            if max(nex) > k:
                x = float('inf')
                break            
            
            if all(nex[m]+c[m] <= k for m in range(checker+1)):
                c = [c[I]+nex[I] for I in range(checker+1)]
            else:
                x += 1
                c = nex
        result.append(checker+x)
print(min(result))