diff --git a/08_largest_product_in_a_series/main.go b/08_largest_product_in_a_series/main.go index 338ebb1..f6dde25 100644 --- a/08_largest_product_in_a_series/main.go +++ b/08_largest_product_in_a_series/main.go @@ -3,6 +3,7 @@ package main import ( "fmt" "strconv" + "time" ) var src = "73167176531330624919225119674426574742355349194934" + @@ -36,8 +37,10 @@ func main() { nextSrc = append(nextSrc, i) src = src[1:] } + t := time.Now() var next []int var out int + var outS []int for { next, nextSrc = FetchNextAdjacent(13, nextSrc) if len(next) == 0 { @@ -50,10 +53,12 @@ func main() { } if product > out { out = product + outS = next } } - fmt.Println("the largest product is", out) + fmt.Println("time:", time.Since(t)) + fmt.Println("the largest product is", out, outS) } func FetchNextAdjacent(n int, src []int) ([]int, []int) { diff --git a/24_lexicographic_permutations/main.go b/24_lexicographic_permutations/main.go new file mode 100644 index 0000000..0f7fe42 --- /dev/null +++ b/24_lexicographic_permutations/main.go @@ -0,0 +1,42 @@ +package main + +import ( + "fmt" + "strconv" +) + +var nums = []int{0, 1, 2, 3, 4, 5, 6, 7, 8, 9} + +func main() { + var facs []int + for _, i := range nums { + n, _ := findPermutation(i, i) + facs = append(facs, n) + } + fmt.Println("facs:", facs) + + fmt.Println("the millionth is:", findNPermutation(1e6, nums, facs)) +} + +func findNPermutation(n int, src []int, facs []int) string { + n-- + var ret string + for i := len(src) - 1; i >= 0; i-- { + t := n / facs[i] + n %= facs[i] + ret += strconv.Itoa(src[t]) + src = append(src[:t], src[t+1:]...) + } + return ret +} + +func findPermutation(n, m int) (int, error) { + if m > n { + return 0, fmt.Errorf("m=%d cannot be larger than n=%d", m, n) + } + p := 1 + for i := n - m + 1; i <= n; i++ { + p *= i + } + return p, nil +} diff --git a/24_lexicographic_permutations/main_test.go b/24_lexicographic_permutations/main_test.go new file mode 100644 index 0000000..c7150d9 --- /dev/null +++ b/24_lexicographic_permutations/main_test.go @@ -0,0 +1,109 @@ +package main + +import ( + "errors" + "reflect" + "testing" +) + +func Test_findPermutation(t *testing.T) { + type args struct { + n int + m int + } + tt := []struct { + name string + args args + want int + wantErr error + }{ + { + "1-2", + args{1, 2}, + 0, + errors.New("m=2 cannot be larger than n=1"), + }, + { + "1-1", + args{1, 1}, + 1, + nil, + }, + { + "3-3", + args{3, 3}, + 6, + nil, + }, + { + "4-4", + args{4, 4}, + 24, + nil, + }, + { + "3-2", + args{3, 2}, + 6, + nil, + }, + { + "4-2", + args{4, 2}, + 12, + nil, + }, + } + for _, tc := range tt { + t.Run(tc.name, func(t *testing.T) { + got, err := findPermutation(tc.args.n, tc.args.m) + if !reflect.DeepEqual(err, tc.wantErr) { + t.Errorf("findPermutation() = %v, want err %v", err, tc.wantErr) + } + if got != tc.want { + t.Errorf("findPermutation() = %v, want %v", got, tc.want) + } + }) + } +} + +func Test_findNPermutation(t *testing.T) { + type args struct { + n int + src []int + facs []int + } + tests := []struct { + name string + args args + want string + }{ + { + "012-1", + args{1, []int{0, 1, 2}, []int{1, 1, 2}}, + "012", + }, + { + "012-2", + args{2, []int{0, 1, 2}, []int{1, 1, 2}}, + "021", + }, + { + "012-6", + args{6, []int{0, 1, 2}, []int{1, 1, 2}}, + "210", + }, + { + "0123456-1", + args{1, []int{0, 1, 2, 3, 4, 5, 6}, []int{1, 1, 2, 6, 24, 120, 720}}, + "0123456", + }, + } + for _, tt := range tests { + t.Run(tt.name, func(t *testing.T) { + if got := findNPermutation(tt.args.n, tt.args.src, tt.args.facs); got != tt.want { + t.Errorf("findNPermutation() = %v, want %v", got, tt.want) + } + }) + } +}