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authorReiner Herrmann <reiner@reiner-h.de>2009-10-19 16:59:13 +0200
committerReiner Herrmann <reiner@reiner-h.de>2014-08-31 20:10:14 +0200
commit5c98788b8dbbf45c2621cc0d712c4053c7e14ac8 (patch)
tree55487676a1bc0729fb5c1d4ff9c88bf82af1fd5b
parente9b5d5ae7866c0f6d288d9fd46374e0f74bad0fc (diff)
added some more project euler solutions
-rw-r--r--src/projecteuler/007.py20
-rw-r--r--src/projecteuler/009.py7
-rw-r--r--src/projecteuler/010.py20
-rw-r--r--src/projecteuler/012.c37
-rw-r--r--src/projecteuler/013.py14
-rw-r--r--src/projecteuler/013.txt100
-rw-r--r--src/projecteuler/014.py21
-rw-r--r--src/projecteuler/019.py17
-rw-r--r--src/projecteuler/021.c35
-rw-r--r--src/projecteuler/022.py18
-rw-r--r--src/projecteuler/022.txt5163
-rw-r--r--src/projecteuler/048.py6
12 files changed, 5458 insertions, 0 deletions
diff --git a/src/projecteuler/007.py b/src/projecteuler/007.py
new file mode 100644
index 0000000..63d565a
--- /dev/null
+++ b/src/projecteuler/007.py
@@ -0,0 +1,20 @@
+prime_list = [2]
+
+def is_prime(number):
+ global prime_list
+ prime = True
+ for x in prime_list:
+ if number % x == 0:
+ prime = False
+ break
+ return prime
+
+count = 3
+
+while(len(prime_list) < 10001):
+ if is_prime(count):
+ prime_list.append(count)
+ count += 2
+
+print prime_list[-1]
+
diff --git a/src/projecteuler/009.py b/src/projecteuler/009.py
new file mode 100644
index 0000000..f122a7a
--- /dev/null
+++ b/src/projecteuler/009.py
@@ -0,0 +1,7 @@
+for a in range(1,1000):
+ for b in range(a, 1000):
+ c = 1000 - a - b
+ if a*a + b*b == c*c:
+ print a*b*c
+ break
+
diff --git a/src/projecteuler/010.py b/src/projecteuler/010.py
new file mode 100644
index 0000000..1a4a194
--- /dev/null
+++ b/src/projecteuler/010.py
@@ -0,0 +1,20 @@
+limit = 2000000
+
+number_list = [False]
+for i in range(2, limit+1):
+ number_list.append(True)
+
+for i in range(2, limit+1):
+ x = i*2
+ while(x <= len(number_list)):
+ number_list[x-1] = False
+ x += i
+
+sum = 0
+
+for i in range(1, limit+1):
+ if number_list[i-1]:
+ sum += i
+
+print sum
+
diff --git a/src/projecteuler/012.c b/src/projecteuler/012.c
new file mode 100644
index 0000000..c5cc49e
--- /dev/null
+++ b/src/projecteuler/012.c
@@ -0,0 +1,37 @@
+#include <math.h>
+
+int count_divisors(unsigned int triangle)
+{
+ unsigned int i;
+ int count = 2;
+ int limit = (int) ceil(sqrt(triangle));
+ for(i=2; i<limit; i++)
+ {
+ if(triangle % i == 0)
+ {
+ if(triangle / i == i)
+ count++;
+ else
+ count += 2;
+ }
+ }
+ return count;
+}
+
+int main()
+{
+ unsigned int triangle = 0;
+ int divisors = 0;
+ int count = 1;
+
+ do
+ {
+ triangle += count++;
+ divisors = count_divisors(triangle);
+ } while(divisors <= 500);
+
+ printf("%d\n", triangle);
+
+ return 0;
+}
+
diff --git a/src/projecteuler/013.py b/src/projecteuler/013.py
new file mode 100644
index 0000000..9e4222c
--- /dev/null
+++ b/src/projecteuler/013.py
@@ -0,0 +1,14 @@
+numbers = []
+
+f = open('013.txt', 'r')
+for line in f:
+ numbers.append(int(line))
+f.close()
+
+sum = 0
+
+for i in numbers:
+ sum += i
+
+print sum
+
diff --git a/src/projecteuler/013.txt b/src/projecteuler/013.txt
new file mode 100644
index 0000000..43b568e
--- /dev/null
+++ b/src/projecteuler/013.txt
@@ -0,0 +1,100 @@
+37107287533902102798797998220837590246510135740250
+46376937677490009712648124896970078050417018260538
+74324986199524741059474233309513058123726617309629
+91942213363574161572522430563301811072406154908250
+23067588207539346171171980310421047513778063246676
+89261670696623633820136378418383684178734361726757
+28112879812849979408065481931592621691275889832738
+44274228917432520321923589422876796487670272189318
+47451445736001306439091167216856844588711603153276
+70386486105843025439939619828917593665686757934951
+62176457141856560629502157223196586755079324193331
+64906352462741904929101432445813822663347944758178
+92575867718337217661963751590579239728245598838407
+58203565325359399008402633568948830189458628227828
+80181199384826282014278194139940567587151170094390
+35398664372827112653829987240784473053190104293586
+86515506006295864861532075273371959191420517255829
+71693888707715466499115593487603532921714970056938
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+51934325451728388641918047049293215058642563049483
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+20849603980134001723930671666823555245252804609722
+53503534226472524250874054075591789781264330331690
diff --git a/src/projecteuler/014.py b/src/projecteuler/014.py
new file mode 100644
index 0000000..7df8d53
--- /dev/null
+++ b/src/projecteuler/014.py
@@ -0,0 +1,21 @@
+def chain_len(n):
+ count = 1
+ while(n != 1):
+ if not n & 1:
+ n = n / 2
+ else:
+ n = 3*n + 1
+ count += 1
+ return count
+
+max_len = 0
+max_start = 0
+
+for i in range(1, 1000000):
+ len = chain_len(i)
+ if len > max_len:
+ max_start = i
+ max_len = len
+
+print max_start
+
diff --git a/src/projecteuler/019.py b/src/projecteuler/019.py
new file mode 100644
index 0000000..187b45e
--- /dev/null
+++ b/src/projecteuler/019.py
@@ -0,0 +1,17 @@
+days = [31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31]
+
+day = 7 # first sunday in 1900
+count = 0
+
+for year in range(1900, 2001):
+ for month in range(1, 13):
+ if day == 1 and year >= 1901:
+ count += 1
+ if month == 2 and year % 4 == 0:
+ day -= 1
+ while(day <= days[month-1]):
+ day += 7
+ day -= days[month-1]
+
+print count
+
diff --git a/src/projecteuler/021.c b/src/projecteuler/021.c
new file mode 100644
index 0000000..e236cf3
--- /dev/null
+++ b/src/projecteuler/021.c
@@ -0,0 +1,35 @@
+#include <math.h>
+
+int sum_divisors(int number)
+{
+ int i;
+ int sum = 1;
+ int limit = (int) ceil(sqrt(number));
+ for(i=2; i<limit; i++)
+ {
+ if(number % i == 0)
+ {
+ sum += i;
+ if(number / i != i)
+ sum += number / i;
+ }
+ }
+ return sum;
+}
+
+int main()
+{
+ int sum = 0;
+ int a;
+ for(a=1; a<10000; a++)
+ {
+ int b = sum_divisors(a);
+ if(a == sum_divisors(b) && a != b)
+ sum += a;
+ }
+
+ printf("%d\n", sum);
+
+ return 0;
+}
+
diff --git a/src/projecteuler/022.py b/src/projecteuler/022.py
new file mode 100644
index 0000000..d63530d
--- /dev/null
+++ b/src/projecteuler/022.py
@@ -0,0 +1,18 @@
+def score(name):
+ sum = 0
+ for char in name:
+ sum += ord(char) - 64
+ return sum
+
+pos = 0
+total_score = 0
+
+f = open('022.txt', 'r')
+for name in f:
+ name = name.rstrip("\n")
+ pos += 1
+ total_score += pos * score(name)
+f.close()
+
+print total_score
+
diff --git a/src/projecteuler/022.txt b/src/projecteuler/022.txt
new file mode 100644
index 0000000..177df65
--- /dev/null
+++ b/src/projecteuler/022.txt
@@ -0,0 +1,5163 @@
+AARON
+ABBEY
+ABBIE
+ABBY
+ABDUL
+ABE
+ABEL
+ABIGAIL
+ABRAHAM
+ABRAM
+ADA
+ADAH
+ADALBERTO
+ADALINE
+ADAM
+ADAN
+ADDIE
+ADELA
+ADELAIDA
+ADELAIDE
+ADELE
+ADELIA
+ADELINA
+ADELINE
+ADELL
+ADELLA
+ADELLE
+ADENA
+ADINA
+ADOLFO
+ADOLPH
+ADRIA
+ADRIAN
+ADRIANA
+ADRIANE
+ADRIANNA
+ADRIANNE
+ADRIEN
+ADRIENE
+ADRIENNE
+AFTON
+AGATHA
+AGNES
+AGNUS
+AGRIPINA
+AGUEDA
+AGUSTIN
+AGUSTINA
+AHMAD
+AHMED
+AI
+AIDA
+AIDE
+AIKO
+AILEEN
+AILENE
+AIMEE
+AISHA
+AJA
+AKIKO
+AKILAH
+AL
+ALAINA
+ALAINE
+ALAN
+ALANA
+ALANE
+ALANNA
+ALAYNA
+ALBA
+ALBERT
+ALBERTA
+ALBERTHA
+ALBERTINA
+ALBERTINE
+ALBERTO
+ALBINA
+ALDA
+ALDEN
+ALDO
+ALEASE
+ALEC
+ALECIA
+ALEEN
+ALEIDA
+ALEISHA
+ALEJANDRA
+ALEJANDRINA
+ALEJANDRO
+ALENA
+ALENE
+ALESHA
+ALESHIA
+ALESIA
+ALESSANDRA
+ALETA
+ALETHA
+ALETHEA
+ALETHIA
+ALEX
+ALEXA
+ALEXANDER
+ALEXANDRA
+ALEXANDRIA
+ALEXIA
+ALEXIS
+ALFONSO
+ALFONZO
+ALFRED
+ALFREDA
+ALFREDIA
+ALFREDO
+ALI
+ALIA
+ALICA
+ALICE
+ALICIA
+ALIDA
+ALINA
+ALINE
+ALISA
+ALISE
+ALISHA
+ALISHIA
+ALISIA
+ALISON
+ALISSA
+ALITA
+ALIX
+ALIZA
+ALLA
+ALLAN
+ALLEEN
+ALLEGRA
+ALLEN
+ALLENA
+ALLENE
+ALLIE
+ALLINE
+ALLISON
+ALLYN
+ALLYSON
+ALMA
+ALMEDA
+ALMETA
+ALONA
+ALONSO
+ALONZO
+ALPHA
+ALPHONSE
+ALPHONSO
+ALTA
+ALTAGRACIA
+ALTHA
+ALTHEA
+ALTON
+ALVA
+ALVARO
+ALVERA
+ALVERTA
+ALVIN
+ALVINA
+ALYCE
+ALYCIA
+ALYSA
+ALYSE
+ALYSHA
+ALYSIA
+ALYSON
+ALYSSA
+AMADA
+AMADO
+AMAL
+AMALIA
+AMANDA
+AMBER
+AMBERLY
+AMBROSE
+AMEE
+AMELIA
+AMERICA
+AMI
+AMIE
+AMIEE
+AMINA
+AMIRA
+AMMIE
+AMOS
+AMPARO
+AMY
+AN
+ANA
+ANABEL
+ANALISA
+ANAMARIA
+ANASTACIA
+ANASTASIA
+ANDERA
+ANDERSON
+ANDRA
+ANDRE
+ANDREA
+ANDREAS
+ANDREE
+ANDRES
+ANDREW
+ANDRIA
+ANDY
+ANETTE
+ANGEL
+ANGELA
+ANGELE
+ANGELENA
+ANGELES
+ANGELIA
+ANGELIC
+ANGELICA
+ANGELIKA
+ANGELINA
+ANGELINE
+ANGELIQUE
+ANGELITA
+ANGELLA
+ANGELO
+ANGELYN
+ANGIE
+ANGILA
+ANGLA
+ANGLE
+ANGLEA
+ANH
+ANIBAL
+ANIKA
+ANISA
+ANISHA
+ANISSA
+ANITA
+ANITRA
+ANJA
+ANJANETTE
+ANJELICA
+ANN
+ANNA
+ANNABEL
+ANNABELL
+ANNABELLE
+ANNALEE
+ANNALISA
+ANNAMAE
+ANNAMARIA
+ANNAMARIE
+ANNE
+ANNELIESE
+ANNELLE
+ANNEMARIE
+ANNETT
+ANNETTA
+ANNETTE
+ANNICE
+ANNIE
+ANNIKA
+ANNIS
+ANNITA
+ANNMARIE
+ANTHONY
+ANTIONE
+ANTIONETTE
+ANTOINE
+ANTOINETTE
+ANTON
+ANTONE
+ANTONETTA
+ANTONETTE
+ANTONIA
+ANTONIETTA
+ANTONINA
+ANTONIO
+ANTONY
+ANTWAN
+ANYA
+APOLONIA
+APRIL
+APRYL
+ARA
+ARACELI
+ARACELIS
+ARACELY
+ARCELIA
+ARCHIE
+ARDATH
+ARDELIA
+ARDELL
+ARDELLA
+ARDELLE
+ARDEN
+ARDIS
+ARDITH
+ARETHA
+ARGELIA
+ARGENTINA
+ARIANA
+ARIANE
+ARIANNA
+ARIANNE
+ARICA
+ARIE
+ARIEL
+ARIELLE
+ARLA
+ARLEAN
+ARLEEN
+ARLEN
+ARLENA
+ARLENE
+ARLETHA
+ARLETTA
+ARLETTE
+ARLIE
+ARLINDA
+ARLINE
+ARLYNE
+ARMAND
+ARMANDA
+ARMANDINA
+ARMANDO
+ARMIDA
+ARMINDA
+ARNETTA
+ARNETTE
+ARNITA
+ARNOLD
+ARNOLDO
+ARNULFO
+ARON
+ARRON
+ART
+ARTHUR
+ARTIE
+ARTURO
+ARVILLA
+ASA
+ASHA
+ASHANTI
+ASHELY
+ASHLEA
+ASHLEE
+ASHLEIGH
+ASHLEY
+ASHLI
+ASHLIE
+ASHLY
+ASHLYN
+ASHTON
+ASIA
+ASLEY
+ASSUNTA
+ASTRID
+ASUNCION
+ATHENA
+AUBREY
+AUDIE
+AUDRA
+AUDREA
+AUDREY
+AUDRIA
+AUDRIE
+AUDRY
+AUGUST
+AUGUSTA
+AUGUSTINA
+AUGUSTINE
+AUGUSTUS
+AUNDREA
+AURA
+AUREA
+AURELIA
+AURELIO
+AURORA
+AURORE
+AUSTIN
+AUTUMN
+AVA
+AVELINA
+AVERY
+AVIS
+AVRIL
+AWILDA
+AYAKO
+AYANA
+AYANNA
+AYESHA
+AZALEE
+AZUCENA
+AZZIE
+BABARA
+BABETTE
+BAILEY
+BAMBI
+BAO
+BARABARA
+BARB
+BARBAR
+BARBARA
+BARBERA
+BARBIE
+BARBRA
+BARI
+BARNEY
+BARRETT
+BARRIE
+BARRY
+BART
+BARTON
+BASIL
+BASILIA
+BEA
+BEATA
+BEATRICE
+BEATRIS
+BEATRIZ
+BEAU
+BEAULAH
+BEBE
+BECKI
+BECKIE
+BECKY
+BEE
+BELEN
+BELIA
+BELINDA
+BELKIS
+BELL
+BELLA
+BELLE
+BELVA
+BEN
+BENEDICT
+BENITA
+BENITO
+BENJAMIN
+BENNETT
+BENNIE
+BENNY
+BENTON
+BERENICE
+BERNA
+BERNADETTE
+BERNADINE
+BERNARD
+BERNARDA
+BERNARDINA
+BERNARDINE
+BERNARDO
+BERNEICE
+BERNETTA
+BERNICE
+BERNIE
+BERNIECE
+BERNITA
+BERRY
+BERT
+BERTA
+BERTHA
+BERTIE
+BERTRAM
+BERYL
+BESS
+BESSIE
+BETH
+BETHANIE
+BETHANN
+BETHANY
+BETHEL
+BETSEY
+BETSY
+BETTE
+BETTIE
+BETTINA
+BETTY
+BETTYANN
+BETTYE
+BEULA
+BEULAH
+BEV
+BEVERLEE
+BEVERLEY
+BEVERLY
+BIANCA
+BIBI
+BILL
+BILLI
+BILLIE
+BILLY
+BILLYE
+BIRDIE
+BIRGIT
+BLAINE
+BLAIR
+BLAKE
+BLANCA
+BLANCH
+BLANCHE
+BLONDELL
+BLOSSOM
+BLYTHE
+BO
+BOB
+BOBBI
+BOBBIE
+BOBBY
+BOBBYE
+BOBETTE
+BOK
+BONG
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diff --git a/src/projecteuler/048.py b/src/projecteuler/048.py
new file mode 100644
index 0000000..7c4102e
--- /dev/null
+++ b/src/projecteuler/048.py
@@ -0,0 +1,6 @@
+sum = 0
+for i in range(1, 1001):
+ sum += i**i
+
+print sum % 10**10
+