project-euler/074_digit_factorial_chains.c

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2023-03-27 16:30:58 +02:00
#include <stdio.h>
#include <math.h>
#define LIM 3 * 1000000
#define MAX_CHAIN 100
void initf(int f[]);
void init_sieve(char s[], int len);
long next_term(long x, int f[]);
int main()
{
int x = pow(10, 6);
int y = 60;
int c, len, count;
long i, n;
long chain[MAX_CHAIN];
int f[10];
char sieve[LIM];
initf(f);
init_sieve(sieve, LIM);
count = 0;
for(i = 3; i < x; ++i){
c = len = 0;
n = i;
while(n >= LIM || !sieve[n]){
if(c < MAX_CHAIN){
chain[c] = n;
++len;
}
n = next_term(n, f);
++c;
}
c += sieve[n];
if(c == y){
++count;
}
for(n = 0; n < len; ++n){
if(chain[n] < LIM){
sieve[chain[n]] = c;
}
--c;
}
}
printf("%d\n", count);
return 0;
}
long next_term(long x, int f[])
{
long r;
int i, d;
r = 0;
for(i = pow(10, (int) log10(x)); i >= 1; i /= 10){
d = x / i;
r += f[d];
x -= d * i;
}
return r;
}
void initf(int f[])
{
int i;
f[0] = f[1] = 1;
for(i = 2; i < 10; ++i){
f[i] = i * f[i - 1];
}
}
void init_sieve(char s[], int len)
{
int i;
for(i = 0; i < len; ++i){
s[i] = 0;
}
s[1] = s[2] = s[145] = s[40585] = 1;
s[871] = s[45361] = s[872] = s[45362] = 2;
s[169] = s[363601] = s[1454] = 3;
}