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Google Code Jam 2014 * Round 3 * Problem A. Magical, Marvelous Tour
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/* | |
* | |
* Google Code Jam | |
* 2014 Round 3 | |
* Problem A. Magical, Marvelous Tour | |
* | |
*/ | |
package main | |
import ( | |
"bufio" | |
"fmt" | |
"os" | |
"strconv" | |
"strings" | |
"sync" | |
"time" | |
) | |
const ( | |
IN = "A-small-practice.in" | |
OUT = "A-small-practice.out" | |
) | |
var ( | |
I *os.File | |
O *os.File | |
S *bufio.Scanner | |
W *bufio.Writer | |
T int | |
D []*Device | |
WG sync.WaitGroup | |
) | |
type Device struct { | |
Id int | |
N int | |
p int | |
q int | |
r int | |
s int | |
t []int | |
sum []int | |
Prob float64 | |
} | |
func NewDevice() *Device { | |
return &Device{} | |
} | |
func (d *Device) Transistors(i int) int { | |
return ((i*d.p+d.q)%d.r + d.s) | |
} | |
func (d *Device) SumArray() { | |
d.sum = make([]int, d.N+1) | |
d.sum[0] = 0 | |
for i := 1; i < d.N+1; i++ { | |
d.sum[i] = d.t[i-1] + d.sum[i-1] | |
} | |
} | |
func (d *Device) CalcProb(i, j int) float64 { | |
p0 := make([]int, 3) | |
p0[0] = d.sum[i] | |
p0[1] = d.sum[j+1] - d.sum[i] | |
p0[2] = d.sum[d.N] - d.sum[j+1] | |
p1 := 0 // solveig chooses best | |
i1 := 0 | |
for i := 0; i < len(p0); i++ { | |
if p0[i] > p1 { | |
p1 = p0[i] | |
i1 = i | |
} | |
} | |
p2 := 0 // amar gets the rest | |
p3 := 0 // devices total | |
for i := 0; i < len(p0); i++ { | |
p3 = p3 + p0[i] | |
if i != i1 { | |
p2 = p2 + p0[i] | |
} | |
} | |
p4 := float64(p2) / float64(p3) | |
return p4 | |
} | |
func (d *Device) Solve() { | |
// binary search iteration of partitions | |
// i < j < N | |
// function that returns left, middle, right sum lookups | |
// left = sum[i] | |
// middle = sum[j+1] - sum[i] | |
// right = sum[N] - sum[j+1] | |
// d.Prob = 0.0 | |
p0 := float64(0.0) | |
for i := 1; i < d.N; i++ { | |
for j := i; j < d.N; j++ { | |
p1 := d.CalcProb(i, j) | |
if p1 > p0 { | |
p0 = p1 | |
} | |
} | |
} | |
d.Prob = p0 | |
WG.Done() | |
} | |
func Load() { | |
var err error | |
I, err = os.Open(IN) | |
if err != nil { | |
fmt.Println(err) | |
} | |
// fmt.Println(I) | |
// scanner | |
S = bufio.NewScanner(I) | |
O, err = os.Create(OUT) | |
if err != nil { | |
fmt.Println(err) | |
} | |
// fmt.Println(O) | |
W = bufio.NewWriter(O) | |
} | |
func Cases() { | |
S.Scan() | |
var err error | |
T, err = strconv.Atoi(S.Text()) | |
if err != nil { | |
fmt.Println(err) | |
} | |
// fmt.Printf("%d test cases. \n", T) | |
} | |
func Split() { | |
D = make([]*Device, T) | |
var err error | |
for i := 0; i < T; i++ { | |
d := NewDevice() | |
d.Id = i | |
S.Scan() | |
n0 := strings.Split(S.Text(), " ") | |
d.N, err = strconv.Atoi(n0[0]) | |
d.p, err = strconv.Atoi(n0[1]) | |
d.q, err = strconv.Atoi(n0[2]) | |
d.r, err = strconv.Atoi(n0[3]) | |
d.s, err = strconv.Atoi(n0[4]) | |
if err != nil { | |
fmt.Println(err) | |
} | |
// loop transistors | |
d.t = make([]int, d.N) | |
for j := 0; j < d.N; j++ { | |
d.t[j] = d.Transistors(j) | |
} | |
// create sum array | |
d.SumArray() | |
// refactor: scan line & input to Device constructor | |
// then auto-compute transistors, sum -array | |
// bonus: launch wait group and solver from constructor | |
// also: buffered chan to pass solutions to devices list | |
D[i] = d | |
// add wg | |
WG.Add(1) | |
// solve | |
go D[i].Solve() | |
} | |
// fmt.Println(len(D)) | |
// fmt.Println(D[1]) | |
// fmt.Println(D[1].Transistors(9)) | |
// fmt.Println(D[1].t) | |
} | |
func Finish() { | |
defer I.Close() | |
defer O.Close() | |
for i := 0; i < T; i++ { | |
s0 := fmt.Sprintf("Case #%d: %.10f\n", i+1, D[i].Prob) | |
W.WriteString(s0) | |
} | |
W.Flush() | |
} | |
func main() { | |
begin := time.Now() | |
Load() | |
Cases() | |
Split() | |
WG.Wait() | |
Finish() | |
end := time.Now() | |
fmt.Printf("total running time: %v. \n", end.Sub(begin)) | |
} | |
// brute force solver | |
// small input total run time: 300ms |
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