解题思路
- 将由小到大排序
- 若不考虑绿色的情况则为最大值的情况为,即选择在它之前的点
- 对于同时选,会被统计贡献时考虑
- 考虑绿色,对于每个,若选则均选
- 对于每个预处理出,记作
- 对由小到大排序
- 为答案的情况为
import java.io.*; import java.math.BigInteger; import java.util.Arrays; import java.util.HashMap; import java.util.HashSet; import java.util.LinkedList; import java.util.Map; import java.util.Objects; import java.util.PriorityQueue; import java.util.Queue; import java.util.Scanner; import java.util.Stack; import java.util.StringTokenizer; import java.util.TreeMap; import java.util.TreeSet; import java.util.Vector;//implements Runnable public class Main {static long md=(long)998244353;static long Linf=Long.MAX_VALUE/2;static int inf=Integer.MAX_VALUE/2;static int N=100010;static int n=0;static int m=0;staticclass Node{long x;long y;public Node() {}public Node(long u,long v) {x=u;y=v;}@Overridepublic boolean equals(Object o) {if (this == o) return true;if (o == null || getClass() != o.getClass()) return false;Node now = (Node) o;return x==now.x&&y==now.y;}@Overridepublic int hashCode() {return Objects.hash(x, y);}}static void solve() throws Exception{AReader input=new AReader(); // Scanner input=new Scanner(System.in);PrintWriter out = new PrintWriter(new OutputStreamWriter(System.out)); String al="abcdefghijklmnopqrstuvwxyz";char[] ac=al.toCharArray();boolean[] isnotpri=new boolean[N+1];// int T=input.nextInt(); // while(T>0) { // T--;// }n=input.nextInt();int[] a=new int[n+1];HashMap<Integer, Integer> hs=new HashMap<Integer, Integer>();int sum=n;for(int i=1;i<=n;++i) {a[i]=input.nextInt();if(hs.get(a[i])==null) {hs.put(a[i], 1);}else {int z=hs.get(a[i]);hs.put(a[i], z+1);}}int[] mx=new int[n+1];for(int i=1;i<=n;++i) {mx[i]=a[i];for(int j=i*2;j<=n;j+=i) {mx[i]=Math.max(mx[i], a[j]);}}Arrays.sort(mx,1,n+1);long ans=0;long now=1;for(int i=1;i<=n;++i) {ans=(ans+now*mx[i]%md)%md;now=now*2%md;}out.println(ans);out.flush(); out.close();}public static void main(String[] args) throws Exception{solve();} // public static final void main(String[] args) throws Exception { // new Thread(null, new Tx2(), "线程名字", 1 << 27).start(); // } // @Override // public void run() { // try { // //原本main函数的内容 // solve(); // // } catch (Exception e) { // } // }staticclass AReader{ BufferedReader bf;StringTokenizer st;BufferedWriter bw;public AReader(){bf=new BufferedReader(new InputStreamReader(System.in));st=new StringTokenizer("");bw=new BufferedWriter(new OutputStreamWriter(System.out));}public String nextLine() throws IOException{return bf.readLine();}public String next() throws IOException{while(!st.hasMoreTokens()){st=new StringTokenizer(bf.readLine());}return st.nextToken();}public char nextChar() throws IOException{//确定下一个token只有一个字符的时候再用return next().charAt(0);}public int nextInt() throws IOException{return Integer.parseInt(next());}public long nextLong() throws IOException{return Long.parseLong(next());}public double nextDouble() throws IOException{return Double.parseDouble(next());}public float nextFloat() throws IOException{return Float.parseFloat(next());}public byte nextByte() throws IOException{return Byte.parseByte(next());}public short nextShort() throws IOException{return Short.parseShort(next());}public BigInteger nextBigInteger() throws IOException{return new BigInteger(next());}public void println() throws IOException {bw.newLine();}public void println(int[] arr) throws IOException{for (int value : arr) {bw.write(value + " ");}println();}public void println(int l, int r, int[] arr) throws IOException{for (int i = l; i <= r; i ++) {bw.write(arr[i] + " ");}println();}public void println(int a) throws IOException{bw.write(String.valueOf(a));bw.newLine();}public void print(int a) throws IOException{bw.write(String.valueOf(a));}public void println(String a) throws IOException{bw.write(a);bw.newLine();}public void print(String a) throws IOException{bw.write(a);}public void println(long a) throws IOException{bw.write(String.valueOf(a));bw.newLine();}public void print(long a) throws IOException{bw.write(String.valueOf(a));}public void println(double a) throws IOException{bw.write(String.valueOf(a));bw.newLine();}public void print(double a) throws IOException{bw.write(String.valueOf(a));}public void print(char a) throws IOException{bw.write(String.valueOf(a));}public void println(char a) throws IOException{bw.write(String.valueOf(a));bw.newLine();}}}