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Problem solution · Go

Codeforces 1004F — Sonya and Bitwise OR

Codeforces 1004F — Sonya and Bitwise OR: 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
133 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 1004F — Sonya and Bitwise OR, 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

  • 133 lines of Go from the credited upstream file 1004F.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 1004F — Sonya and Bitwise OR · GoGo
Use this to learn the idea, then write your own version.
package main import (	"bufio"	. "fmt"	"io"	"math/bits") // https://space.bilibili.com/206214var x04 inttype pair04 struct{ v, cnt int }type data04 struct {	pre, suf []pair04	cnt      int}type seg04 []struct {	l, r int	val  data04} func (seg04) merge(a, b []pair04) []pair04 {	c := append(make([]pair04, 0, len(a)+len(b)), a...)	for j := range c {		c[j].v |= b[0].v	}	c = append(c, b...)	j := 0	for _, t := range c[1:] {		if c[j].v != t.v {			j++			c[j] = t		} else {			c[j].cnt += t.cnt		}	}	return c[:j+1]} func (t seg04) mergeInfo(ld, rd data04) data04 {	cnt := ld.cnt + rd.cnt	a, b := ld.suf, rd.pre // 0: max, -1: min	s, i := 0, 0	for j := len(b) - 1; j >= 0; j-- {		t := b[j]		for ; i < len(a) && a[i].v|t.v >= x04; i++ {			s += a[i].cnt		}		cnt += s * t.cnt	}	return data04{t.merge(rd.pre, ld.pre), t.merge(ld.suf, rd.suf), cnt}} func (t seg04) build(a []int, o, l, r int) {	t[o].l, t[o].r = l, r	if l == r {		p := pair04{a[l-1], 1}		t[o].val.pre = []pair04{p}		t[o].val.suf = []pair04{p}		if a[l-1] >= x04 {			t[o].val.cnt = 1		}		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 seg04) update(o, i, val int) {	if t[o].l == t[o].r {		t[o].val.pre[0].v = val		t[o].val.suf[0].v = val		if val >= x04 {			t[o].val.cnt = 1		} else {			t[o].val.cnt = 0		}		return	}	m := (t[o].l + t[o].r) >> 1	if i <= m {		t.update(o<<1, i, val)	} else {		t.update(o<<1|1, i, val)	}	t.maintain(o)} func (t seg04) maintain(o int) {	t[o].val = t.mergeInfo(t[o<<1].val, t[o<<1|1].val)} func (t seg04) query(o, l, r int) (res data04) {	if l <= t[o].l && t[o].r <= r {		return t[o].val	}	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.mergeInfo(t.query(o<<1, l, r), t.query(o<<1|1, l, r))} func cf1004F(_r io.Reader, _w io.Writer) {	in := bufio.NewReader(_r)	out := bufio.NewWriter(_w)	defer out.Flush() 	var n, m, op, l, r int	Fscan(in, &n, &m, &x04)	a := make([]int, n)	for i := range a {		Fscan(in, &a[i])	}	t := make(seg04, 2<<bits.Len(uint(n-1)))	t.build(a, 1, 1, n)	for ; m > 0; m-- {		Fscan(in, &op, &l, &r)		if op == 1 {			t.update(1, l, r)		} else {			Fprintln(out, t.query(1, l, r).cnt)		}	}} //func main() { cf1004F(os.Stdin, os.Stdout) }

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