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Problem solution · Go

Codeforces 718C — Sasha and Array

Codeforces 718C — Sasha and Array: a Go solution using direct simulation. Learn the idea, check the complexity, and read the full code, with credit to EndlessCheng Codeforces Go.

Technique
Direct simulation
Source
EndlessCheng Codeforces Go
Length
141 lines
Start with the idea.

Try the problem first. If you get stuck, read the approach below, then write your own solution. The full code is at the bottom.

Approach

Direct simulation

For Codeforces 718C — Sasha and Array, the implementation follows the problem’s operations directly while maintaining only the state needed for the next decision.

  1. Translate each rule into one explicit state update.
  2. Maintain the invariant after every processed item.
  3. Return the accumulated state once all relevant input has been handled.

Code notes

  • 141 lines of Go from the credited upstream file 718C.go.
  • The implementation visibly relies on sequence storage.
  • No explicit loop blocks detected.

Complexity

Count the number and nesting of passes over the input, then include the maintained containers in the memory estimate.

Check the problem constraints before deciding whether this complexity will pass.

Source

Code and credit

This code comes from EndlessCheng Codeforces Go by Σndless (EndlessCheng) and is used under the MIT licence.

Open problem ↗Original source ↗
Full codeCodeforces 718C — Sasha and Array · GoGo
Use this to learn the idea, then write your own version.
package main import (	"bufio"	. "fmt"	"io") // github.com/EndlessCheng/codeforces-goconst mod18 int64 = 1e9 + 7 type matrix18 [2][2]int64 var id18 = matrix18{{1, 0}, {0, 1}}var trans18 = matrix18{{1, 1}, {1, 0}}var base18 = matrix18{{0, 0}, {1, 0}} func (a matrix18) add(b matrix18) matrix18 {	for i, r := range a {		for j, v := range r {			b[i][j] = (b[i][j] + v) % mod18		}	}	return b} func (a matrix18) mul(b matrix18) (c matrix18) {	for i, r := range a {		for j := range b[0] {			for k, v := range r {				c[i][j] = (c[i][j] + v*b[k][j]) % mod18			}		}	}	return c} func (a matrix18) pow(n int) matrix18 {	res := id18	for ; n > 0; n >>= 1 {		if n&1 > 0 {			res = res.mul(a)		}		a = a.mul(a)	}	return res} type seg18 []struct {	l, r int	todo matrix18	sum  matrix18} func (t seg18) maintain(o int) {	lo, ro := t[o<<1], t[o<<1|1]	t[o].sum = lo.sum.add(ro.sum)} func (t seg18) build(a []int, o, l, r int) {	t[o].l, t[o].r, t[o].todo = l, r, id18	if l == r {		t[o].sum = trans18.pow(a[l-1]).mul(base18)		return	}	m := (l + r) >> 1	t.build(a, o<<1, l, m)	t.build(a, o<<1|1, m+1, r)	t.maintain(o)} func (t seg18) do(o int, m matrix18) {	to := &t[o]	to.todo = m.mul(to.todo)	to.sum = m.mul(to.sum)} func (t seg18) spread(o int) {	if m := t[o].todo; m != id18 {		t.do(o<<1, m)		t.do(o<<1|1, m)		t[o].todo = id18	}} func (t seg18) update(o, l, r int, mat matrix18) {	if l <= t[o].l && t[o].r <= r {		t.do(o, mat)		return	}	t.spread(o)	m := (t[o].l + t[o].r) >> 1	if l <= m {		t.update(o<<1, l, r, mat)	}	if m < r {		t.update(o<<1|1, l, r, mat)	}	t.maintain(o)} func (t seg18) query(o, l, r int) int64 {	if l <= t[o].l && t[o].r <= r {		return t[o].sum[0][0]	}	t.spread(o)	m := (t[o].l + t[o].r) >> 1	if r <= m {		return t.query(o<<1, l, r)	}	if m < l {		return t.query(o<<1|1, l, r)	}	return (t.query(o<<1, l, r) + t.query(o<<1|1, l, r)) % mod18} func CF718C(_r io.Reader, _w io.Writer) {	in := bufio.NewReader(_r)	out := bufio.NewWriter(_w)	defer out.Flush() 	var n, q, op, l, r, x int	Fscan(in, &n, &q)	a := make([]int, n)	for i := range a {		Fscan(in, &a[i])	}	t := make(seg18, n*4)	t.build(a, 1, 1, n)	for ; q > 0; q-- {		if Fscan(in, &op, &l, &r); op == 1 {			Fscan(in, &x)			t.update(1, l, r, trans18.pow(x))		} else {			Fprintln(out, t.query(1, l, r))		}	}} //func main() { CF718C(os.Stdin, os.Stdout) }

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