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11.go
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11.go
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package main
import (
//"github.com/trevorgk/project-euler/eulerlib"
"fmt"
)
func euler_11 () {
grid := [][]int {
[]int{8, 2, 22, 97, 38, 15, 0, 40, 0, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8},
[]int{49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 4, 56, 62, 0},
[]int{81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 3, 49, 13, 36, 65},
[]int{81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 3, 49, 13, 36, 65},
[]int{22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80},
[]int{24, 47, 32, 60, 99, 3, 45, 2, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50},
[]int{32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70},
[]int{67, 26, 20, 68, 2, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 21},
[]int{24, 55, 58, 5, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72},
[]int{21, 36, 23, 9, 75, 0, 76, 44, 20, 45, 35, 14, 0, 61, 33, 97, 34, 31, 33, 95},
[]int{78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3, 80, 4, 62, 16, 14, 9, 53, 56, 92},
[]int{16, 39, 5, 42, 96, 35, 31, 47, 55, 58, 88, 24, 0, 17, 54, 24, 36, 29, 85, 57},
[]int{86, 56, 0, 48, 35, 71, 89, 7, 5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58},
[]int{19, 80, 81, 68, 5, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 4, 89, 55, 40},
[]int{4, 52, 8, 83, 97, 35, 99, 16, 7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66},
[]int{88, 36, 68, 87, 57, 62, 20, 72, 3, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69},
[]int{04, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8, 46, 29, 32, 40, 62, 76, 36},
[]int{20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 4, 36, 16},
[]int{20, 73, 35, 29, 78, 31, 90, 1, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 5, 54},
[]int{1, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 1, 89, 19, 67, 48}};
maxText := ""
maxProduct := 0
size := 20
for i := 0; i < size; i++ {
for j := 0; j < size; j++ {
ttb := TopToBottom(grid, i, j)
if ttb > maxProduct {
maxProduct = ttb
maxText = fmt.Sprintln("Top to bottom starting at position", i, j, "yields product of", ttb)
}
ltr := LeftToRight(grid, i, j)
if ltr > maxProduct {
maxProduct = ltr
maxText = fmt.Sprintln("Left to right starting at position", i, j, "yields product of", ltr)
}
tltbr := TopLeftToBottomRight(grid, i, j)
if tltbr > maxProduct {
maxProduct = tltbr
maxText = fmt.Sprintln("Top left to bottom right starting at position", i, j, "yields product of", tltbr)
}
blttr := BottomLeftToTopRight(grid, i, j)
if blttr > maxProduct {
maxProduct = blttr
maxText = fmt.Sprintln("Bottom left to top right starting at position", i, j, "yields product of", blttr)
}
}
}
fmt.Println(maxText)
}
func TopToBottom(grid [][]int, x int, y int) int {
min, max, size := 0, 20, 4
nums := make([]int, size)
breached := false
for i := min; i < size; i++ {
breached = (y + i) >= max
if breached {
nums[i] = 1
} else {
nums[i] = grid[x][y+i]
}
}
product := 1
for i := 0; i < size; i++ {
product *= nums[i]
}
//fmt.Println("top to bottom product of", x, "and", y, "is", product)
return product
}
func LeftToRight(grid [][]int, x int, y int) int {
min, max, size := 0, 20, 4
nums := make([]int, size)
breached := false
for i := min; i < size; i++ {
breached = (x + i) >= max
if breached {
nums[i] = 1
} else {
nums[i] = grid[x+i][y]
}
}
product := 1
for i := 0; i < size; i++ {
product *= nums[i]
}
//fmt.Println("left to right product of", x, "and", y, "is", product)
return product
}
func TopLeftToBottomRight(grid [][]int, x int, y int) int {
min, max, size := 0, 20, 4
nums := make([]int, size)
breached := false
for i := min; i < size; i++ {
breached = (x + i) >= max || (y + i) >= max
if breached {
nums[i] = 1
} else {
nums[i] = grid[x+i][y+i]
}
}
product := 1
for i := 0; i < size; i++ {
product *= nums[i]
}
//fmt.Println("top left to bottom right product of", x, "and", y, "is", product)
return product
}
func BottomLeftToTopRight(grid [][]int, x int, y int) int {
min, max, size := 0, 20, 4
nums := make([]int, size)
breached := false
for i := min; i < size; i++ {
breached = (x + i) >= max || (y - i) < min
if breached {
nums[i] = 1
} else {
nums[i] = grid[x+i][y-i]
}
}
product := 1
for i := 0; i < size; i++ {
product *= nums[i]
}
//fmt.Println("bottom left to top right product of", x, "and", y, "is", product)
return product
}