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authorIru Cai <mytbk920423@gmail.com>2018-05-25 14:13:16 +0800
committerIru Cai <mytbk920423@gmail.com>2018-05-25 14:13:16 +0800
commitd5c645bf83f144838e84b21e4941a0e42b0a9a61 (patch)
tree7164988f5dcfa2264d50f4c184f4c278f5983d27 /euler50.myr
parent3caa8876e4c1d71cf8973d0d78231f16a0cd5b93 (diff)
downloadproject_euler-d5c645bf83f144838e84b21e4941a0e42b0a9a61.tar.xz
47, 49, 50
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+use std
+
+var primes: int[100000]
+var nprimes: int
+
+const sieve = {
+ nprimes = 1
+ primes[0] = 2
+
+ for var i = 3; i < 1_000_000; i++
+ for var j = 0; j < nprimes; j++
+ if i % primes[j] == 0
+ break
+ ;;
+ if primes[j] * primes[j] > i
+ primes[nprimes] = i
+ nprimes++
+ break
+ ;;
+ ;;
+ ;;
+}
+
+const isprime = {n
+ for var i = 0; i < nprimes; i++
+ if n % primes[i] == 0
+ -> false
+ ;;
+ if (primes[i]*primes[i] > n)
+ -> true
+ ;;
+ ;;
+ -> false
+}
+
+const prime_terms = {n, limit
+ var L = n / limit
+ var i = 0
+ var j = 0
+ var sum = 0
+
+ while primes[i] < L
+ /* calculate a[i..j] */
+ while sum < n
+ sum += primes[j]
+ if sum == n
+ -> j - i + 1
+ ;;
+ j++
+ ;;
+ /* calculate a[i..j-1] */
+ while sum > n
+ sum -= primes[i]
+ i++
+ if sum == n
+ -> j - i
+ ;;
+ ;;
+ ;;
+ -> 0
+}
+
+const main = {
+ sieve()
+ std.put("{} primes below 1000000\n", nprimes)
+ var maxL = 21
+ var ans = 953
+ for var i = 954; i < 1_000_000; i++
+ if !isprime(i)
+ continue
+ ;;
+ var pt = prime_terms(i, maxL)
+ if pt > maxL
+ maxL = pt
+ ans = i
+ ;;
+ ;;
+ std.put("len = {} ans = {}\n", maxL, ans)
+}
+