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add problem1[0-9].c

1 parent 32c2548 commit 235e3df3c51cb1517f772a9865b5b531d9b40027 @eagletmt committed Jun 2, 2009
Showing with 517 additions and 0 deletions.
  1. +31 −0 10-19/problem10.c
  2. +57 −0 10-19/problem11.c
  3. +36 −0 10-19/problem12.c
  4. +138 −0 10-19/problem13.c
  5. +34 −0 10-19/problem14.c
  6. +27 −0 10-19/problem15.c
  7. +32 −0 10-19/problem16.c
  8. +62 −0 10-19/problem17.c
  9. +50 −0 10-19/problem18.c
  10. +50 −0 10-19/problem19.c
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+/*
+ * Copyright (c) 2009, eagletmt
+ * Released under the MIT License <http://opensource.org/licenses/mit-license.php>
+ */
+
+#include <stdio.h>
+#include <stdlib.h>
+
+int main(void)
+{
+ char *sieve;
+ unsigned i, j;
+ size_t n = 2000000;
+ unsigned long long sum = 0ULL;
+
+ sieve = calloc(n, sizeof *sieve);
+ for (i = 2; i < n; i++) {
+ if (!sieve[i]) {
+ sum += i;
+ for (j = i*2; j < n; j += i) {
+ sieve[j] = 1;
+ }
+ }
+ }
+ free(sieve);
+
+ printf("%llu\n", sum);
+
+ return 0;
+}
+
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@@ -0,0 +1,57 @@
+/*
+ * Copyright (c) 2009, eagletmt
+ * Released under the MIT License <http://opensource.org/licenses/mit-license.php>
+ */
+
+#include <stdio.h>
+
+#define N 20
+
+static __inline unsigned max(unsigned a, unsigned b);
+
+int main(void)
+{
+ unsigned grid[20][20] = {
+ {8,2,22,97,38,15,0,40,0,75,4,5,7,78,52,12,50,77,91,8},
+ {49,49,99,40,17,81,18,57,60,87,17,40,98,43,69,48,4,56,62,0},
+ {81,49,31,73,55,79,14,29,93,71,40,67,53,88,30,3,49,13,36,65},
+ {52,70,95,23,4,60,11,42,69,24,68,56,1,32,56,71,37,2,36,91},
+ {22,31,16,71,51,67,63,89,41,92,36,54,22,40,40,28,66,33,13,80},
+ {24,47,32,60,99,3,45,2,44,75,33,53,78,36,84,20,35,17,12,50},
+ {32,98,81,28,64,23,67,10,26,38,40,67,59,54,70,66,18,38,64,70},
+ {67,26,20,68,2,62,12,20,95,63,94,39,63,8,40,91,66,49,94,21},
+ {24,55,58,5,66,73,99,26,97,17,78,78,96,83,14,88,34,89,63,72},
+ {21,36,23,9,75,0,76,44,20,45,35,14,0,61,33,97,34,31,33,95},
+ {78,17,53,28,22,75,31,67,15,94,3,80,4,62,16,14,9,53,56,92},
+ {16,39,5,42,96,35,31,47,55,58,88,24,0,17,54,24,36,29,85,57},
+ {86,56,0,48,35,71,89,7,5,44,44,37,44,60,21,58,51,54,17,58},
+ {19,80,81,68,5,94,47,69,28,73,92,13,86,52,17,77,4,89,55,40},
+ {4,52,8,83,97,35,99,16,7,97,57,32,16,26,26,79,33,27,98,66},
+ {88,36,68,87,57,62,20,72,3,46,33,67,46,55,12,32,63,93,53,69},
+ {4,42,16,73,38,25,39,11,24,94,72,18,8,46,29,32,40,62,76,36},
+ {20,69,36,41,72,30,23,88,34,62,99,69,82,67,59,85,74,4,36,16},
+ {20,73,35,29,78,31,90,1,74,31,49,71,48,86,81,16,23,57,5,54},
+ {1,70,54,71,83,51,54,69,16,92,33,48,61,43,52,1,89,19,67,48},
+ };
+ unsigned m = 0;
+ unsigned i, j;
+
+ for (i = 0; i < N-3; i++) {
+ for (j = 0; j < N-3; j++) {
+ unsigned h = grid[i][j] * grid[i][j+1] * grid[i][j+2] * grid[i][j+3];
+ unsigned v = grid[j][i] * grid[j+1][i] * grid[j+2][i] * grid[j+3][i];
+ unsigned d1 = grid[i][j] * grid[i+1][j+1] * grid[i+2][j+2] * grid[i+3][j+3];
+ unsigned d2 = grid[i][N-j-1] * grid[i+1][N-j-2] * grid[i+2][N-j-3] * grid[i+3][N-j-4];
+ m = max(m, max(h, max(v, max(d1, d2))));
+ }
+ }
+ printf("%u\n", m);
+
+ return 0;
+}
+
+unsigned max(unsigned a, unsigned b)
+{
+ return a > b ? a : b;
+}
+
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@@ -0,0 +1,36 @@
+/*
+ * Copyright (c) 2009, eagletmt
+ * Released under the MIT License <http://opensource.org/licenses/mit-license.php>
+ */
+
+#include <stdio.h>
+
+static unsigned divisor_count(unsigned long n);
+
+int main(void)
+{
+ unsigned long i = 1, n = 1;
+
+ while (divisor_count(n) < 500) {
+ n += ++i;
+ }
+ printf("%lu\n", n);
+ return 0;
+}
+
+unsigned divisor_count(unsigned long n)
+{
+ unsigned ret = 1;
+ unsigned long i;
+
+ for (i = 2; i <= n; i++) {
+ unsigned c = 0;
+ while (n % i == 0) {
+ c++;
+ n /= i;
+ }
+ ret *= c+1;
+ }
+ return ret;
+}
+
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@@ -0,0 +1,138 @@
+/*
+ * Copyright (c) 2009, eagletmt
+ * Released under the MIT License <http://opensource.org/licenses/mit-license.php>
+ */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <gmp.h>
+
+#define N 100
+
+int main(void)
+{
+ char digits[][N] = {
+ "37107287533902102798797998220837590246510135740250",
+ "46376937677490009712648124896970078050417018260538",
+ "74324986199524741059474233309513058123726617309629",
+ "91942213363574161572522430563301811072406154908250",
+ "23067588207539346171171980310421047513778063246676",
+ "89261670696623633820136378418383684178734361726757",
+ "28112879812849979408065481931592621691275889832738",
+ "44274228917432520321923589422876796487670272189318",
+ "47451445736001306439091167216856844588711603153276",
+ "70386486105843025439939619828917593665686757934951",
+ "62176457141856560629502157223196586755079324193331",
+ "64906352462741904929101432445813822663347944758178",
+ "92575867718337217661963751590579239728245598838407",
+ "58203565325359399008402633568948830189458628227828",
+ "80181199384826282014278194139940567587151170094390",
+ "35398664372827112653829987240784473053190104293586",
+ "86515506006295864861532075273371959191420517255829",
+ "71693888707715466499115593487603532921714970056938",
+ "54370070576826684624621495650076471787294438377604",
+ "53282654108756828443191190634694037855217779295145",
+ "36123272525000296071075082563815656710885258350721",
+ "45876576172410976447339110607218265236877223636045",
+ "17423706905851860660448207621209813287860733969412",
+ "81142660418086830619328460811191061556940512689692",
+ "51934325451728388641918047049293215058642563049483",
+ "62467221648435076201727918039944693004732956340691",
+ "15732444386908125794514089057706229429197107928209",
+ "55037687525678773091862540744969844508330393682126",
+ "18336384825330154686196124348767681297534375946515",
+ "80386287592878490201521685554828717201219257766954",
+ "78182833757993103614740356856449095527097864797581",
+ "16726320100436897842553539920931837441497806860984",
+ "48403098129077791799088218795327364475675590848030",
+ "87086987551392711854517078544161852424320693150332",
+ "59959406895756536782107074926966537676326235447210",
+ "69793950679652694742597709739166693763042633987085",
+ "41052684708299085211399427365734116182760315001271",
+ "65378607361501080857009149939512557028198746004375",
+ "35829035317434717326932123578154982629742552737307",
+ "94953759765105305946966067683156574377167401875275",
+ "88902802571733229619176668713819931811048770190271",
+ "25267680276078003013678680992525463401061632866526",
+ "36270218540497705585629946580636237993140746255962",
+ "24074486908231174977792365466257246923322810917141",
+ "91430288197103288597806669760892938638285025333403",
+ "34413065578016127815921815005561868836468420090470",
+ "23053081172816430487623791969842487255036638784583",
+ "11487696932154902810424020138335124462181441773470",
+ "63783299490636259666498587618221225225512486764533",
+ "67720186971698544312419572409913959008952310058822",
+ "95548255300263520781532296796249481641953868218774",
+ "76085327132285723110424803456124867697064507995236",
+ "37774242535411291684276865538926205024910326572967",
+ "23701913275725675285653248258265463092207058596522",
+ "29798860272258331913126375147341994889534765745501",
+ "18495701454879288984856827726077713721403798879715",
+ "38298203783031473527721580348144513491373226651381",
+ "34829543829199918180278916522431027392251122869539",
+ "40957953066405232632538044100059654939159879593635",
+ "29746152185502371307642255121183693803580388584903",
+ "41698116222072977186158236678424689157993532961922",
+ "62467957194401269043877107275048102390895523597457",
+ "23189706772547915061505504953922979530901129967519",
+ "86188088225875314529584099251203829009407770775672",
+ "11306739708304724483816533873502340845647058077308",
+ "82959174767140363198008187129011875491310547126581",
+ "97623331044818386269515456334926366572897563400500",
+ "42846280183517070527831839425882145521227251250327",
+ "55121603546981200581762165212827652751691296897789",
+ "32238195734329339946437501907836945765883352399886",
+ "75506164965184775180738168837861091527357929701337",
+ "62177842752192623401942399639168044983993173312731",
+ "32924185707147349566916674687634660915035914677504",
+ "99518671430235219628894890102423325116913619626622",
+ "73267460800591547471830798392868535206946944540724",
+ "76841822524674417161514036427982273348055556214818",
+ "97142617910342598647204516893989422179826088076852",
+ "87783646182799346313767754307809363333018982642090",
+ "10848802521674670883215120185883543223812876952786",
+ "71329612474782464538636993009049310363619763878039",
+ "62184073572399794223406235393808339651327408011116",
+ "66627891981488087797941876876144230030984490851411",
+ "60661826293682836764744779239180335110989069790714",
+ "85786944089552990653640447425576083659976645795096",
+ "66024396409905389607120198219976047599490197230297",
+ "64913982680032973156037120041377903785566085089252",
+ "16730939319872750275468906903707539413042652315011",
+ "94809377245048795150954100921645863754710598436791",
+ "78639167021187492431995700641917969777599028300699",
+ "15368713711936614952811305876380278410754449733078",
+ "40789923115535562561142322423255033685442488917353",
+ "44889911501440648020369068063960672322193204149535",
+ "41503128880339536053299340368006977710650566631954",
+ "81234880673210146739058568557934581403627822703280",
+ "82616570773948327592232845941706525094512325230608",
+ "22918802058777319719839450180888072429661980811197",
+ "77158542502016545090413245809786882778948721859617",
+ "72107838435069186155435662884062257473692284509516",
+ "20849603980134001723930671666823555245252804609722",
+ "53503534226472524250874054075591789781264330331690",
+ };
+
+ int i;
+ char *str;
+ mpz_t sum, t;
+
+ mpz_init_set_ui(sum, 0);
+ mpz_init(t);
+ for (i = 0; i < N; i++) {
+ mpz_set_str(t, digits[i], 10);
+ mpz_add(sum, sum, t);
+ }
+
+ str = mpz_get_str(NULL, 10, sum);
+ str[10] = 0;
+ puts(str);
+
+ free(str);
+ mpz_clear(sum);
+ mpz_clear(t);
+
+ return 0;
+}
+
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@@ -0,0 +1,34 @@
+/*
+ * Copyright (c) 2009, eagletmt
+ * Released under the MIT License <http://opensource.org/licenses/mit-license.php>
+ */
+
+#include <stdio.h>
+
+static unsigned collatz_count(unsigned n);
+
+int main(void)
+{
+ unsigned i, max_c = 0, max_i = 0;
+
+ for (i = 1; i < 1000000; i++) {
+ unsigned c = collatz_count(i);
+ if (c > max_c) {
+ max_c = c;
+ max_i = i;
+ }
+ }
+ printf("%u\n", max_i);
+ return 0;
+}
+
+unsigned collatz_count(unsigned n)
+{
+ unsigned c = 0;
+ while (n > 1) {
+ n = n%2==0 ? n/2 : 3*n+1;
+ c++;
+ }
+ return c+1;
+}
+
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@@ -0,0 +1,27 @@
+/*
+ * Copyright (c) 2009, eagletmt
+ * Released under the MIT License <http://opensource.org/licenses/mit-license.php>
+ */
+
+#include <stdio.h>
+#include <gmp.h>
+
+int main(void)
+{
+ mpz_t n, m;
+
+ /* calculate 40C20 as 40! / (20! * 20!) */
+ mpz_init(n); mpz_init(m);
+ mpz_fac_ui(n, 40); mpz_fac_ui(m, 20);
+ mpz_mul(m, m, m);
+ mpz_divexact(n, n, m);
+
+ mpz_out_str(stdout, 10, n);
+ putchar('\n');
+
+ mpz_clear(n);
+ mpz_clear(m);
+
+ return 0;
+}
+
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@@ -0,0 +1,32 @@
+/*
+ * Copyright (c) 2009, eagletmt
+ * Released under the MIT License <http://opensource.org/licenses/mit-license.php>
+ */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <gmp.h>
+
+int main(void)
+{
+ mpz_t n;
+ char *str;
+ size_t len, i;
+ unsigned sum = 0;
+
+ mpz_init(n);
+ mpz_ui_pow_ui(n, 2, 1000);
+
+ str = mpz_get_str(NULL, 10, n);
+ len = mpz_sizeinbase(n, 10);
+ for (i = 0; i < len; i++) {
+ sum += str[i]-'0';
+ }
+ printf("%u\n", sum);
+
+ free(str);
+ mpz_clear(n);
+
+ return 0;
+}
+
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