about improve the code in this book

[chncys]

in page 14, code of using flag as follows. the ans = 5913.

bool flag = true;
int ans = 0;
for (int i = 1; i <= 10 && flag; ++i)
{
int t = 1;
for (int j = 1; j <= i && flag ; ++j)
{
t *= j;
if (t > 1000) flag = false;
}
ans += t;
}

in page 14, code of using goto as follows. the ans = 873.

int ans = 0;
for (int i = 1; i <= 10; ++i)
{
int t = 1;
for (int j = 1; j <= i; ++j)
{
t *= j;
if (t > 1000) goto loop;
}
ans += t;
}
loop:;

this is because ans += t; excute more once in first code.
so we can move if statement to behiend the ans += t;
the new code as follwos, the ans = 5913.

int ans = 0;
for (int i = 1; i <= 10; ++i)
{
int t = 1;
for (int j = 1; j <= i; ++j)
{
t *= j;
}
ans += t;
if (t > 1000) goto loop;
}
loop:;

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