package contest191108; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.InputMismatchException; public class F { InputStream is; PrintWriter out; String INPUT = ""; void solve() { int n = ni(), Q = ni(); long[] a = new long[n]; for(int i = 0;i < n;i++) { a[i] = nl(); } int B = Math.max(1, (int)Math.sqrt(n)/2); long[][][] vs = new long[n/B+1][][]; for(int i = 0;i < n/B+1;i++) { vs[i] = recompile(i, B, a); } long s = 0; for(int z = 0;z < Q;z++) { int t = ni(); if(t == 1) { int x = (int)(ni()^(s&(1L<<16)-1))-1; long y = nl()^(s&(1L<<40)-1); a[x] = y; vs[x/B] = recompile(x/B, B, a); }else { int l = (int)(ni()^(s&(1L<<16)-1))-1; int r = (int)(ni()^(s&(1L<<16)-1))-1; if(l > r) { int d = l; l = r; r = d; } int K = (r+1-l+1)/2; long low = -1, high = 1L<<40; while(high - low > 1) { long h = high+low>>1; long num = 0; if(l/B == r/B) { for(int i = l;i <= r;i++) { if(a[i] < h)num++; } }else { for(int i = l;i < l/B*B+B && i < n;i++) { if(a[i] < h)num++; } for(int i = r/B*B;i <= r;i++) { if(a[i] < h)num++; } for(int i = l/B+1;i < r/B;i++) { num += lowerBound(vs[i][0], h); } } if(num < K) { low = h; }else { high = h; } } long mid = low; long ans = 0; if(l/B == r/B) { for(int i = l;i <= r;i++) { ans += Math.abs(a[i]-mid); } }else { for(int i = l;i < l/B*B+B && i < n;i++) { ans += Math.abs(a[i]-mid); } for(int i = r/B*B;i <= r;i++) { ans += Math.abs(a[i]-mid); } for(int i = l/B+1;i < r/B;i++) { int lb = lowerBound(vs[i][0], mid); ans += mid * lb - vs[i][1][lb]; ans += vs[i][1][vs[i][1].length-1] - vs[i][1][lb] - mid * (vs[i][0].length - lb); } } out.println(ans); s ^= ans; } } } public static int lowerBound(long[] a, long v) { int low = -1, high = a.length; while(high-low > 1){ int h = high+low>>>1; if(a[h] >= v){ high = h; }else{ low = h; } } return high; } long[][] recompile(int x, int B, long[] a) { int n = a.length; long[] t = new long[B]; int p = 0; for(int j = 0;j < B && x*B+j < n;j++) { t[j] = a[x*B+j]; p++; } t = Arrays.copyOf(t, p); Arrays.sort(t); long[] cum = new long[p+1]; for(int i = 0;i < p;i++)cum[i+1] = cum[i] + t[i]; return new long[][] {t, cum}; } void run() throws Exception { is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); long s = System.currentTimeMillis(); solve(); out.flush(); if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){ // @Override // public void run() { // long s = System.currentTimeMillis(); // solve(); // out.flush(); // if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // } // }; // t.start(); // t.join(); } public static void main(String[] args) throws Exception { new F().run(); } private byte[] inbuf = new byte[1024]; public int lenbuf = 0, ptrbuf = 0; private int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private double nd() { return Double.parseDouble(ns()); } private char nc() { return (char)skip(); } private String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ') sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private long[] nal(int n) { long[] a = new long[n]; for(int i = 0;i < n;i++)a[i] = nl(); return a; } private char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private int[][] nmi(int n, int m) { int[][] map = new int[n][]; for(int i = 0;i < n;i++)map[i] = na(m); return map; } private int ni() { return (int)nl(); } private long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); } }