// _
// ^ ^ //
// >(O_O)<___//
// \ __ __ \
// \\ \\ \\\\
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3")
#pragma GCC target("popcnt")
/*
⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⣳⣳⡳⡳⡳⡳⣳⡳⡳⠳⠷⣳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳
⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⠼⣚⣨⣤⠶⢖⣖⣶⣶⣤⣤⣶⣿⣿⣄⣨⣷⣶⣬⣑⠪⡼⡪⢮⡮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮
⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⢝⡥⣺⣿⣾⣿⣿⣯⣋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣷⣤⠚⣳⣺⢝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝
⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⣣⢚⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠙⢮⡮⡗⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳
⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⠮⡴⠋⣴⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣴⣶⣶⣶⣶⣶⣮⣀⡀⠁⠠⠙⢮⣪⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮
⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⡵⠉⡀⡀⡿⢋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⡛⢛⠛⠻⢄⠂⡀⡀⠙⣞⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝
⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⠞⡀⡀⢀⠔⢀⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣷⣞⣝⣣⣜⡤⢤⠠⢌⢷⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⣳⢗⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳
⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢎⠏⡀⡀⣴⠊⡾⣿⡨⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣿⣿⣿⣯⣾⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡢⡀⠻⡼⠮⣎⣮⠼⠮⣊⣊⣊⣚⠫⢝⣝⡮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮
⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⡝⡟⡀⡀⣰⡎⣜⣿⣿⣿⣿⣿⣿⣿⠛⢡⠟⣿⡞⣾⣿⣿⣿⣿⣿⣿⣿⣽⣮⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡗⢑⠤⠙⣥⡶⣟⡫⢕⣖⣲⣖⡦⡝⣍⢷⡳⡺⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝
⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡾⡀⡞⣣⣮⣾⣿⣿⣿⣿⣿⡿⣯⡿⣏⣾⣿⢸⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡻⣌⡻⣿⣿⣷⣌⡿⣿⣿⣿⣿⣿⣿⣿⣌⠣⡨⠫⣪⢗⡺⢵⡳⡳⣫⢮⢮⣆⢧⢮⢮⢵⡳⡳⢳⡳⡳⡳⡳⡳⡳⡳⡳⡳
⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⣱⢀⣿⣼⢿⣿⣿⣻⡿⣴⢱⣼⢷⣿⢱⣿⣿⣿⣷⣾⣹⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣝⢷⣕⢝⢿⣿⣛⠟⢯⣿⣿⣿⣿⣿⣭⠿⣌⠿⣌⢮⢮⢷⠮⣎⣪⠽⢝⣝⣝⣝⣝⣝⣕⡾⣾⢮⢮⢮⢮⢮⢮⢮⢮⢮
⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⡍⠇⣿⡇⣱⣿⣿⣳⣫⣿⡵⣼⢏⣿⡿⣿⣿⣿⣿⣯⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⡙⢿⣾⣦⢝⠿⣦⣐⠉⠛⠿⠿⣿⣿⢶⡛⣶⣷⣙⢋⣥⡶⢖⡭⢝⣳⡮⣗⡳⣳⠞⣴⡫⢝⣝⣝⣝⣝⣝⣝⣝⣝
⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⣳⢸⣾⣿⣿⣿⣿⣯⡿⡿⣿⣾⣧⣿⣿⣿⣿⣿⣿⣿⣏⣿⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⢿⣦⡛⣿⣿⣷⣯⣶⣭⣉⣓⣀⣀⣀⣀⣤⠾⡫⢬⣛⠦⣙⠺⠮⢮⣞⣕⣧⠞⣁⡾⢝⡳⢮⢵⡳⡳⡳⡳⡳⡳⡳
⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⡮⢮⠮⣙⠵⠛⠛⠛⠛⡩⡰⣠⣿⣻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⡇⣿⣿⡞⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣦⣭⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡑⡯⡗⡺⡳⢦⡭⢍⣛⣖⣺⢯⢵⡳⡳⡫⢝⣝⣕⣪⢮⢮⢮⢮⢮
⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⣝⡝⣕⣪⠗⠋⡀⡀⡀⣠⣖⡰⢺⢼⣿⠻⠟⢋⣮⡾⣫⣿⣿⣿⣿⣿⣿⢸⣿⣷⢹⣿⣷⢿⣿⣿⣿⣿⣿⣿⣷⣍⠻⣿⣿⠿⣿⣿⣿⣿⢿⣆⣿⣿⣿⣿⣿⣿⣿⣿⣌⣗⣪⢮⣝⣝⣝⡮⣞⡮⣝⣝⣕⣪⢮⢮⢗⡳⡳⡫⢝⣝⣝⣝
⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⡳⠓⢵⢿⡇⡄⡀⡀⡀⡀⢰⣃⡶⡸⢕⠢⡙⢿⣞⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢮⡌⣷⢿⣿⡌⣿⣿⣿⣿⣿⣿⣿⡿⣿⣶⣬⡙⠦⣙⠻⣿⣿⣌⠜⣿⣿⣿⣷⠙⣿⣷⣝⣦⢳⣫⢵⡳⡳⡫⢝⣝⡳⡳⡳⡳⡫⢝⣝⣝⡮⢮⢮⢗⡳⡳
⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢮⢎⡵⠛⠸⣿⣹⣿⢽⡀⡀⡀⠦⢿⣕⡪⠕⠠⢂⡇⣟⣫⣶⠿⣻⣽⣿⡇⣿⢿⣿⣿⢸⡝⡇⡟⡻⣿⣿⡘⣿⣿⡏⡜⠻⡆⠻⣎⢿⣿⣿⣿⣶⣭⣅⣈⡛⠷⣌⣿⣿⣿⣷⠑⡙⢿⣷⣧⡺⣝⣕⣪⢮⢮⢗⡮⢮⢮⢮⢮⢮⢗⡳⡳⡺⣝⣝⣝⡮
⣝⣝⣝⣝⣝⣝⣝⣝⣝⡽⡋⡟⡀⡀⡀⡀⣿⣯⣿⠇⡀⡀⡀⡀⡀⡀⠛⡄⡂⢐⡁⡀⡀⢈⣾⡾⣻⣿⡇⣿⢸⣿⣿⡞⡇⣿⠘⡹⡹⣿⣷⢪⣿⣿⡟⣳⠉⢮⢦⠳⣌⠿⣿⣿⣿⣍⠻⣿⣿⣶⣤⠻⣿⣿⣿⠱⢲⡙⣿⣎⣷⣗⡳⡫⢝⡵⡳⡺⣝⣝⣝⣝⣝⣝⡮⢮⢮⢵⡳⡳
⡳⡳⡳⡳⡳⡳⠳⣡⠚⢵⠨⣿⡀⡀⡀⠔⢹⣿⣽⡪⡀⡀⡀⡀⡀⡀⡀⠹⡈⢊⡁⣿⠟⣙⣡⣾⣿⣿⡇⣿⠸⣟⣿⢸⣷⣺⡀⢻⢹⡙⣿⣷⠻⣿⡞⡈⢳⡀⠉⠮⣈⢷⡑⡙⣿⣿⣿⣜⣿⣿⣿⣿⣦⠻⢿⣿⣔⡯⢦⠻⡄⢷⣎⣪⢮⣝⡮⢮⢮⢵⡳⡳⡳⡳⡳⡺⣝⣝⣕⣪
⣎⣪⢮⢮⣎⠴⠉⡀⡀⠈⡌⣿⣧⡀⡂⢂⠈⣿⡷⣗⠬⣵⡀⡀⡀⡀⡀⡀⠹⠈⠡⠌⣉⡉⠒⠛⣹⣿⠅⣿⡀⢷⢿⣟⠸⡄⡇⡀⢷⢿⣌⢿⣗⣝⣮⢻⠱⡙⢤⣀⡀⠙⠿⠶⣁⢻⣿⣿⣿⣿⣿⣷⡙⢿⣑⣻⣦⠳⡪⡺⣻⡀⢿⢽⢮⡺⢵⡫⢝⣝⣕⣪⢮⢮⢮⢮⢮⢵⡳⡳
⡳⡳⣫⠛⡀⡀⡀⡀⡀⡀⢻⢿⢿⣷⠈⢀⡅⣿⣿⠡⡱⡏⠂⣷⣀⡀⡀⡀⡀⡹⣿⣿⣶⠶⠚⢁⣿⢸⡆⣿⡇⣗⠸⠈⡄⣿⢹⡀⡀⣳⢻⣷⡙⣆⢦⡓⣷⠈⠓⠬⣙⡻⠭⠛⣛⡉⢷⣿⣿⣿⣿⡘⣿⣷⣬⣒⠽⣶⠤⠛⠾⡀⡼⢯⣝⣕⣪⢗⡺⢵⡳⡳⡫⢝⣝⣝⣝⣝⣕⣪
⡥⠋⡀⡀⡀⡀⡀⡀⡀⡀⡃⢻⣯⣿⣿⡘⡵⢹⣿⠸⢎⢸⢰⣿⣿⣷⣄⡀⡀⡀⡀⠙⣙⠛⣿⣿⣿⡇⡇⣿⣿⢯⡇⡇⣇⠘⣿⡄⠤⠄⠽⡙⣿⣦⢆⠙⣦⣽⣦⣀⡀⣠⣾⣛⣯⠉⠛⣿⣿⣿⣿⠻⡀⡀⠻⣿⣿⣷⠹⢿⡟⡫⢕⢪⡱⡳⡳⣫⢗⡺⣕⣪⢮⢮⢗⡳⡳⡳⡳⡳
⡀⡀⡀⡀⡀⡀⡀⡀⡀⠞⠅⡀⠹⣾⣿⣿⢼⢼⣿⡂⢽⡿⣾⣿⣿⣿⣿⣷⣤⣤⣤⣤⣶⣶⡶⣿⣿⡇⡇⣿⣿⡎⡺⢇⣝⣴⣎⣿⡹⡟⠿⣮⢦⠻⣿⣦⢠⠻⣙⠛⠯⣤⡴⣻⣟⠉⠁⠏⢻⣿⣿⣿⡹⡀⡀⢀⡉⠿⣿⣌⢯⢮⣝⣕⣜⡮⢮⢞⣝⣝⡮⢵⡫⢝⣝⣝⡮⢮⢮⢮
⡀⡀⡀⡀⡀⡀⡀⡀⢘⡑⠎⠢⠔⡴⢹⣿⡌⣿⣿⡇⢆⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣴⠶⣦⠹⣿⣿⣿⣗⡼⢺⢸⢛⣭⣬⢿⣮⡈⡀⠙⢍⢮⢿⣕⡈⠲⣑⡄⡈⠛⢀⠏⣀⠞⣼⣧⢿⣧⢿⣿⣌⡀⢦⢿⡄⢼⢾⡷⡙⢵⡳⡳⡳⡺⢵⡳⡳⡳⡺⣕⣪⢗⡳⡳⡺⣝⣝
⡀⡀⡀⡀⡀⡀⡀⡀⠇⢅⢢⢂⢋⢯⢇⣿⣿⢸⣿⡧⣼⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣡⡁⣅⠲⣌⡀⣿⣻⣿⣿⢧⣏⡆⣞⠐⠡⣙⣫⢀⠳⣄⡀⠙⢌⠻⣟⠷⣤⣀⣉⠁⡀⡀⡀⡀⡃⡙⣷⣟⡆⣿⣿⣝⣟⣦⣿⣦⢺⣟⣷⡲⡳⡮⢮⢮⣝⣕⣪⢮⢮⢮⢵⡫⢝⡮⢮⢮⢵
⡀⡀⡀⡀⡀⡀⡀⢌⠌⠑⡴⢵⣺⣝⣝⢹⣿⣿⣿⣃⠃⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣕⣿⣧⠦⡠⢸⡀⣿⣸⣿⢻⡜⣿⢿⡀⢧⡀⡀⢦⠳⡈⡀⡀⡀⡀⠈⠂⠈⠉⠐⡀⡀⡀⡀⡀⢰⣿⣦⡀⠻⣟⣿⣿⣿⣦⢻⣿⣿⡔⣽⢷⡛⣦⡳⣹⢮⢮⢵⡳⡫⢝⣝⣝⣕⣪⢗⡺⣝⣝
⡀⡀⡀⡀⡀⢀⠢⢊⠌⣞⡮⢮⢗⡳⡳⡂⣿⣿⣿⣿⢸⣿⡼⣿⣿⣿⣿⣿⣿⡿⣰⣿⣿⣿⣿⣄⠪⣹⢸⡯⢿⡈⣷⢻⡎⡄⡀⡄⡀⡀⠑⡀⠑⡀⡀⡀⡀⡀⡀⡀⠃⡀⡀⡀⡀⡀⣾⣿⣿⣟⢷⣬⡻⣦⠻⣿⡙⣿⣿⣿⡈⢯⡹⣷⣭⡲⣙⢬⡫⣗⡮⢮⢗⢳⡳⡳⡫⢝⡮⢵
⡀⡀⡀⡀⠠⠣⢂⢉⢟⡳⡳⡺⣝⣝⡮⢮⢿⣿⣿⣿⣿⡰⢜⣿⣿⣿⣿⣿⡿⣰⣿⣿⣿⣿⣿⣿⣻⣤⡀⣷⡆⣇⢻⡌⣿⢷⡀⠈⡄⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⣿⣿⣿⣿⣿⣷⣭⡻⢿⣌⢿⣶⡙⣿⣿⡘⡝⣦⢿⣮⣳⣽⣦⡙⠦⣜⡫⠣⣹⡮⢮⢮⢗⡮
⡀⡀⡀⢄⡁⠌⢁⢫⢗⡮⢮⢮⢮⢵⡳⡺⢸⣿⣿⣿⡄⡎⢱⣿⣿⣿⣿⡟⣼⣿⣿⣿⡟⣿⣿⣿⣧⣿⣿⣿⢻⡹⡀⣿⢻⣇⡄⡀⠈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⢠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣭⡈⢻⣷⣬⡻⡌⠦⡻⣌⢿⣿⣾⣟⠷⣤⡀⠉⠛⠒⠶⠬⢭⣬
⡀⢀⡌⢌⡱⢡⡣⡹⡳⡳⡺⣝⣝⣝⣕⡪⠄⣿⣿⣿⣇⠌⡿⣿⡿⣿⠟⢼⣿⣿⣿⣿⢰⣿⣿⣿⣿⡹⣿⣿⡎⡀⣧⡘⣇⣿⡸⡀⡀⠈⡄⡀⡀⡀⡀⡀⡀⡀⢀⡄⡀⡀⡀⡀⣠⣿⣿⣶⣙⠻⠿⣿⣿⣛⡻⡿⢿⣿⣿⣦⣙⢟⣶⣾⢟⣋⠻⣌⠿⣿⣿⣿⣶⣽⣳⣶⣤⣄⣀⣀
⢌⡨⢌⣅⣡⡑⣜⣎⣪⢮⢮⢮⢵⡳⡳⢎⠋⣿⣿⣿⣿⢠⠇⢣⣸⠏⢪⣿⣿⣿⣿⡟⣾⣿⣿⣿⣿⣷⣻⣿⣿⢷⡆⣎⠹⣿⣿⢳⡀⡀⠈⢄⡀⡀⡀⡀⡀⠈⡀⡀⡀⡀⣀⣾⣿⣿⣿⣿⣿⡉⡻⣯⣓⠶⢿⣿⣿⣶⣦⣭⣏⠻⣦⡋⣿⣿⣿⣷⠷⣈⠻⣿⣿⣿⣿⣿⣿⣿⡙⠓
⣦⣍⡃⣰⣃⣾⢦⣍⣝⣺⣝⣝⡝⣕⣪⠋⢬⢸⣿⣯⣷⢺⣸⡯⡏⠇⣿⣿⣿⣿⣿⡃⢸⣿⣿⣿⢿⣿⣯⣻⢿⣿⡇⡘⡔⢻⣿⣿⢣⣀⡀⡀⢦⡀⡀⡀⡀⡀⡀⡀⣠⢞⠛⢦⣈⠩⣛⠷⣟⢿⣆⢯⣶⡭⣽⣷⣶⣬⣿⣿⣿⣿⣶⣙⣦⣿⣿⣿⣿⣾⣻⣦⡝⠿⣿⣿⣿⣿⣿⣷
⠪⢱⢖⣲⡺⢛⣼⣿⣿⣿⣿⣿⣿⣿⣶⡈⡿⡀⣿⣿⣽⡀⣿⢇⡯⣼⣿⢯⣿⣿⣿⡀⡆⣿⣿⣎⣧⢿⣿⣧⣿⠞⣿⠙⠘⡔⢻⣿⣿⣧⠻⢶⢤⣃⡀⡀⡀⡀⢀⢞⣺⢗⡳⡳⢬⠻⣷⣍⠲⢝⡮⣳⡙⣷⢾⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⠿⣿⣿⣿⣿⣶⣝⠿⣿⣿⣿
⣴⣿⣷⣮⠓⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡷⣯⣿⣿⣿⢷⢻⢸⢡⣿⡿⡇⣿⣿⠇⡀⣿⡜⣿⣿⡄⢷⠻⣽⢿⠘⠸⣳⠱⡌⣆⢻⣿⣿⣷⢸⠨⠵⠻⡙⡖⢾⣱⢎⣕⡸⢮⢼⣫⢧⢖⣍⢿⣦⠲⢝⠿⣦⡙⢯⣝⠟⠿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣎⢮⣛⢿⣿⣿⣿⣷⣬⣛
⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣻⣿⣿⡯⣦⢼⡟⣿⡇⠅⣿⣿⠐⢷⢿⣜⡈⣿⣝⡄⠙⣭⡸⡀⡀⡀⠙⣜⠮⣷⣿⣿⣿⣷⡁⡀⠁⠓⡁⣃⡀⡟⢧⡹⡬⡎⢸⢱⢼⣗⢯⣬⠻⣌⢮⡲⣍⠷⣍⠿⣷⣤⣀⠋⠹⢗⣣⣝⣛⣛⡛⠻⢿⣿⣽⢯⣲⣝⡻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣽⣌⠓⠷⠬⣧⣿⠿⢧⣎⣓⢌⠪⢂⣹⠿⡛⣦⣧⡇⠙⢄⡀⡀⠻⣦⡙⣿⣿⣿⣿⣄⢸⡀⡝⡀⢰⢺⣎⠙⠶⣕⠮⣝⠚⠟⢟⣛⠿⠦⡳⡈⠻⣽⣷⣭⡳⣷⣿⣿⡿⣶⣵⣎⣙⠻⠿⢿⣿⣷⣮⣝⠾⣟⣮⡻⣬⡻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⡾⣿⠟⡀⡀⠈⢀⡀⢄⠻⣓⣿⣿⣿⣿⣮⢀⢿⣹⢳⢫⢋⢱⣼⣦⡚⢻⠉⠁⡀⡀⡀⡎⠈⢮⣮⢦⡛⣿⣿⣿⣶⣬⣙⠛⠦⣔⡢⢬⡭⢍⣍⣛⣛⡛⠷⠾⢿⣭⣷⣝
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢸⣻⣿⣿⣿⡿⣦⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣇⠢⡆⡀⡀⡀⠛⠈⢨⡄⡙⢿⣻⣿⢿⣿⣄⢇⢿⡎⣇⡟⣮⡇⣟⣩⣿⣿⣿⣿⣷⡃⠄⠆⢳⣳⣙⠦⠉⠻⣿⣟⠻⣿⣿⣿⣶⣿⣶⣬⣉⣓⣚⣓⣈⣩⣭⣤⣤⣬
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢿⣿⣿⣿⡿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⡀⢀⢄⡀⡄⢸⠘⡐⣱⠨⠛⣼⡜⡟⣿⣸⣷⣟⣠⣸⡟⣾⣘⣝⣭⢙⢏⡟⣾⣵⣠⠁⠹⣿⡳⡀⢈⢄⡉⠻⣦⠠⣉⢛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣿⡹⣿⣿⣿⣿⣿⣞⣿⣶⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠈⣌⠘⠽⡜⡀⣯⠹⣙⢿⡟⢿⣹⣯⣿⣱⣧⡟⡿⣴⢟⣵⠟⣿⡿⣭⣿⣆⢠⠻⣿⣮⢷⡀⠛⣾⣔⠩⢛⣜⣝⠿⣮⣽⣻⡿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡞⣿⣿⣿⣿⣮⡻⣿⣬⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣙⠜⡈⡀⡵⢲⣉⣽⠗⢦⣿⣿⣻⣛⣭⡮⣥⢷⣯⣻⣿⣿⡿⣻⣷⣷⣕⢿⣿⣿⣮⢷⣀⠛⣿⣾⣕⠯⣝⡛⠶⣭⣙⣛⣛⣛⣛⣏⣭⣭
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢻⢻⣿⣿⣿⣿⣿⡳⣝⠿⣷⣍⠻⣿⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⣬⣘⡗⢿⢿⣮⢹⠟⢿⡙⣷⡿⣼⢗⣯⣭⣶⣶⣿⣿⣿⣿⣿⣿⣮⠻⣿⣿⣿⣿⣤⠛⢿⣿⣿⣶⣬⣭⣊⣙⠛⠻⣿⣿⣿⣿
⠻⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢧⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⣿⣦⠙⢿⣿⣿⣿⣿⣎⢹⢿⣿⣿⣿⣿⣿⣿⣽⡿⣿⣿⣶⣿⠫⣿⣿⢿⣾⢧⣧⣿⣿⢟⣋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣝⡿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣷
⢮⣝⡲⢭⠙⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⢿⣦⡉⠿⣿⣿⣿⣷⣦⣜⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣿⢿⢿⣿⣿⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢿⢟⣝
⡝⣣⣞⣡⢫⣿⣿⣿⣿⣿⣷⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⢻⣷⣌⠻⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢱⣿⠙⠹⣷⡇⣨⠁⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣠⣾⣿⣿⡿⡿⡿⢊⣼⣵⣿
⢮⠮⠞⣾⣿⣿⣿⣿⠟⢡⠃⣿⣍⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣠⣿⢻⡀⣇⢹⠋⡀⡠⠲⣄⡀⡀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣶⣶⣺⣿⣭⣶⣾⣿⣿⡿⣫
⣝⠟⣾⣿⣿⣿⠟⣡⢇⠇⣾⣿⣿⣷⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣄⠙⣿⣿⣿⣿⣿⣿⣿⣿⢋⣾⣿⢁⢸⡇⣿⢱⡞⢥⡀⡀⡀⠉⢦⠄⡀⣿⣿⣿⣿⣿⣿⣟⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣯⣾⠟⣡
⡟⡀⣿⣿⡿⡡⢵⡫⡿⢱⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⡈⢿⣿⣿⣿⣿⣿⣿⣿⡟⡀⡀⢸⡇⣿⢸⡧⡁⡞⠉⠉⠢⣼⣢⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣮⡨⡍⢩⣉⣉⣉⠩⠍⣀⠴⣩⢊
⡀⣸⣿⠟⢴⢗⣞⣱⡘⣿⣿⣿⣿⣿⣿⣿⣿⡇⣭⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣦⠹⣿⣿⣿⠠⠈⡀⡀⡑⠁⣿⡇⢸⢸⡇⠎⠌⡵⠤⡀⡀⡀⡀⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣦⡈⠃⠊⠛⠉⠁⡀⠞⡵⡥
⡀⣿⠏⡺⣝⡵⢃⠏⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⡏⣗⡯⣖⡤⠻⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣌⢿⣿⡀⡀⡇⡀⡀⣼⣿⡀⢸⡸⡇⠌⠞⡀⣀⡀⠉⠒⣀⡀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢙⠿⣿⣻⡿⡿⣽⣆⣀⠄⣀⡴⣫⡧⡞
⡀⡟⡫⣗⣳⡎⠟⣾⣿⣿⣿⣿⡿⣿⣿⣿⢹⡇⡇⣫⢧⣕⡪⢕⡙⣿⣿⣿⣿⣿⣿⣿⣮⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣻⡀⡀⡇⡀⡀⠙⡏⠐⣸⡇⠇⠋⢠⠁⡀⠈⠒⡀⣀⠈⡀⠈⣿⣿⣿⣿⣿⣿⣿⣿⡯⢗⡿⢯⢧⡮⢵⢦⡭⡩⣛⣛⣻⡭⡲⡫⢝⣕⣪
⢰⣧⡽⢮⡕⣞⣿⣿⣿⣿⣿⡟⣸⣿⡿⡡⣿⡇⡇⣪⢮⢞⡵⣫⢗⡦⠻⣿⣿⣿⣿⣿⣿⣿⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣷⡀⡇⡀⢠⡰⢁⢠⣿⢸⡀⡇⠈⡀⡟⢄⢄⡀⡀⡀⡀⡀⠈⣿⣿⣿⣿⣿⣿⣿⠱⣡⣾⡇⡜⡜⢝⣝⣏⣪⢮⢮⢮⢮⢮⢮⢮⢗⡳
⠨⣿⢹⡝⣼⣿⣿⣿⣿⣿⠟⢁⣿⠟⢴⡇⣿⡇⡇⢵⢯⢗⢪⢞⣝⡵⡫⢌⢿⣿⣿⣿⣿⣿⣿⢷⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿⣌⡀⡀⠚⢡⣿⣿⣾⣠⢹⢠⣆⠘⡀⠹⠢⡀⡀⡀⡀⡀⠹⣿⣿⣿⣿⣿⣿⣎⣳⣿⡱⢂⢣⢮⢵⡳⡳⡫⢝⣝⣝⣝⣝⣝⣝⣝
⡸⣿⣆⣜⣿⣿⣿⣿⣿⠏⠎⡿⣡⣗⣜⢀⣿⡇⢇⢺⣝⣝⣝⡵⡳⣫⢮⢮⢇⣟⣿⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⣿⣽⣷⡀⡀⢈⣿⢡⡿⠐⡀⠁⢘⠴⡨⠇⢧⠈⠢⠢⠤⡀⡀⠿⣿⣿⣿⣿⣿⣷⣿⣿⣹⣿⣧⢞⣝⣕⣪⢮⢮⢗⡳⡳⡳⡳⡳⡳
⢧⣿⣿⣿⣿⣿⣿⣿⢋⣡⢫⡺⡳⡳⣳⣸⣿⢣⢸⡳⡳⡳⡳⣫⢮⢮⣝⣝⣝⡸⡎⣿⣿⣿⣿⣿⣿⣾⣦⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⡀⠙⣯⢿⣦⠃⡀⣾⠇⡀⡀⡀⡂⡇⣱⠆⡀⠳⡁⡄⡀⣴⣭⣌⣠⢻⣿⣿⣿⣿⣿⣸⣸⣿⣿⣆⢗⡳⡳⡫⢝⣝⣝⡮⢮⢮⢮⢮
⠘⣿⣿⣿⣿⣿⣿⣫⢛⣜⣝⣕⣪⢮⠇⣿⣿⢸⣗⡮⢮⢮⢮⢞⣝⣝⡳⡳⡳⣣⢿⡧⣿⣿⣿⣿⣿⣿⣿⣷⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⡀⡀⠐⠉⠿⣿⣦⣿⡀⢀⡀⡀⠈⣷⣎⠄⠅⡆⠈⠲⣼⣿⣷⣟⠿⠃⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢗⣪⢮⢮⢗⡳⡳⡺⣝⣝⣝
⢾⣿⣿⣿⣿⣿⣿⣌⠚⣳⢳⣳⢗⣳⢰⣿⣿⡟⢯⣗⡯⣝⣝⡵⡳⡳⢼⣪⢮⢮⡈⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣎⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⡀⡀⠆⡀⡀⢸⡞⢿⣌⡀⡀⡘⢸⢹⢀⢈⢀⠳⢀⣿⣿⠟⡀⠐⡀⡀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⢮⢝⣝⣝⣝⡮⢮⢮⢵⡳
⠘⣿⣿⣿⣿⡟⠿⣿⣿⣷⣦⣍⡓⠃⣿⣿⡇⠇⠲⠳⠓⢓⣓⣋⣊⣚⡋⠽⡺⣝⡹⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢿⣿⣿⣿⣿⣿⣿⣿⣿⣆⡀⡀⡀⡀⡀⣿⠁⡀⢈⠻⣶⣌⠘⠼⠨⠥⠸⣈⣾⣿⣿⡀⠐⠠⡱⡀⡀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠳⢳⡳⡳⡳⡺⣝⣝⣕
⢕⢹⣿⢿⣿⣾⡈⡲⢤⣉⣛⠛⠛⣻⣿⣿⢸⢬⡽⠶⣿⣿⣿⢿⣻⣛⡛⠿⣶⣬⣘⠵⢻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠻⣿⣿⣿⣿⣿⣿⣿⣿⡀⡀⡀⠘⢰⡿⡀⡀⠨⡀⡀⠉⠻⠿⣿⣿⣟⣺⣶⠟⣼⣷⠐⠁⠅⠄⡀⡀⠨⢀⢿⣿⣿⣿⣿⣿⣿⢿⣷⠙⢕⡪⢮⢮⢮⢵⡳
⠂⣿⠏⣂⢿⣿⣿⡘⡺⣫⢮⢮⢁⣿⠇⢗⡿⣫⣾⠟⡩⢔⡤⡛⣾⣟⣍⠶⣤⠙⣿⣮⠣⣿⣷⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡹⣿⣿⣿⣿⣿⣿⣿⣷⡀⡀⡀⣿⠁⡀⡀⢀⡀⡀⡀⡀⢌⡀⡀⡆⢂⡐⠁⣿⣿⣷⠐⠅⡣⡀⡀⡀⣅⣦⠻⣿⣿⣿⣿⣿⣿⣿⣷⢳⡳⡺⣝⣝⣝⣕
*/
using ll = long long;
#define int long long
#define forn(i,n) for(int i=0; i<(n); ++i)
#define pb push_back
#define pi pair<int,int>
#define f first
#define s second
#define vii(a,n) vector<int> a(n); forn(i,n) cin>>a[i];
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
const ll inf = 1e18;
const ll mod = 998244353;
//types:
#define A 1 //ones to pop()
#define B 0 //ones to push()
struct DSU {
vector<int> p,sz,d,b;
int ans=0;
DSU() {}
DSU(int n) {
forn(i,n) p.pb(i),sz.pb(1),d.pb(0),b.pb(0);
}
int dist(int u) {
return p[u]==u ? 0 : (dist(p[u])^d[u]);
}
int get(int u) {
return p[u]==u ? u : get(p[u]);
}
struct node {
int u; //positive - new edge, negative - cycle
int oldans, oldb;
};
vector<node> rb;
void uni(int u, int v) {
//cout<<"? uni "<<' '<<u<<' '<<v<<'\n';
int du=dist(u),dv=dist(v);
u=get(u),v=get(v);
if (u==v) {
rb.pb({-u,ans,b[u]});
b[u]|=du==dv;
ans|=b[u];
return;
}
if (sz[u] < sz[v]) swap(u,v);
rb.pb({v,ans,b[u]});
p[v]=u;
d[v]=du^dv^1;
sz[u]+=sz[v];
b[u]|=b[v];
}
void roll() {
//cout<<"roll last\n";
auto it = rb.back(); rb.pop_back();
int u=it.u, oa=it.oldans, ob=it.oldb;
if (u < 0) {
ans = oa;
b[-u] = ob;
return;
}
int v=p[u];
sz[v]-=sz[u];
p[u]=u;
d[u]=0;
b[v]=ob;
}
};
struct q_dsu {
DSU dsu;
int size=0;
q_dsu(int n) {
dsu = DSU(n);
}
vector<pair<pi,int>> st;
void add(int u, int v, int type) {
dsu.uni(u,v); size+=type;
st.pb({{u,v},type});
}
void pop() {
vector<pair<pi,int>> nw,nw2;
while (st.size() && st.back().s==B) {
nw.pb(st.back());
st.pop_back();
}
int p=1;
assert(size);
while (!(size&p)) p<<=1; //least signif beat
assert(st.size() >= p);
forn(it,p) {
nw2.pb(st.back());
st.pop_back();
}
reverse(all(nw2));
forn(it,nw.size()+nw2.size()) dsu.roll();
for(auto&x:nw) {
st.pb(x);
dsu.uni(x.f.f,x.f.s);
}
for(auto&x:nw2) {
st.pb(x);
dsu.uni(x.f.f,x.f.s);
}
assert(st.back().s==A);
dsu.roll();
st.pop_back();
--size;
}
int query() {
return dsu.ans;
}
};
void solve() {
int n,m,q; cin>>n>>m>>q;
q_dsu dsu(n+1);
vector<pi> e(m);
forn(i,m) cin>>e[i].f>>e[i].s;
DSU check(n+1);
forn(i,m) check.uni(e[i].f,e[i].s);
if (!check.ans) {
forn(i,q) cout<<"NO\n"; return;
}
for(int i=m-1; i>0; --i) dsu.add(e[i].f,e[i].s,A);
vector<int> f(m);
int r=1;
for(int i=0; i<m-1; ++i) {
dsu.add(e[i].f,e[i].s,B);
//cout<<e[i].f<<' '<<e[i].s<<'\n';
while (r<m && dsu.query()) {
++r; dsu.pop();
//for(int i=1;i<=n;++i) cout<<dsu.dsu.get(i)<<' '<<dsu.dsu.dist(i)<<' '<<dsu.dsu.b[dsu.dsu.get(i)]<<' '<<dsu.dsu.ans<<'\n';
//cout<<'\n';
}
//cout<<"! "<<i<<": "<<r<<'\n';
f[i]=r-(dsu.query()^1);
}
vector<int> pr(m+1);
forn(i,m) pr[i+1]=max(pr[i],f[i]);
DSU z(n+1);
vector<int> sf(m+1);
for(int i=m-1; i>=0; --i) {
z.uni(e[i].f,e[i].s);
sf[i]=sf[i+1]|z.ans;
}
//forn(i,m) cout<<f[i]<<' '; cout<<'\n';
while (q--) {
int l,r; cin>>l>>r; --l, --r;
if (!l) cout<<(sf[r+1] ? "YES\n" : "NO\n");
else cout<<(pr[l]>r ? "YES\n" : "NO\n");
}
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int t=1;
//cin>>t;
while (t--) solve();
return 0;
}
Compilation message
Joker.cpp:4:1: warning: multi-line comment [-Wcomment]
4 | // \ __ __ \
| ^
In file included from /usr/include/c++/10/cassert:44,
from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:33,
from Joker.cpp:7:
Joker.cpp: In member function 'void q_dsu::pop()':
Joker.cpp:164:26: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<std::pair<long long int, long long int>, long long int> >::size_type' {aka 'long unsigned int'} and 'long long int' [-Wsign-compare]
164 | assert(st.size() >= p);
| ~~~~~~~~~~^~~~
Joker.cpp:78:33: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<std::pair<long long int, long long int>, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
78 | #define forn(i,n) for(int i=0; i<(n); ++i)
| ^
Joker.cpp:170:9: note: in expansion of macro 'forn'
170 | forn(it,nw.size()+nw2.size()) dsu.roll();
| ^~~~
Joker.cpp: In function 'void solve()':
Joker.cpp:78:19: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
78 | #define forn(i,n) for(int i=0; i<(n); ++i)
| ^~~
Joker.cpp:199:9: note: in expansion of macro 'forn'
199 | forn(i,q) cout<<"NO\n"; return;
| ^~~~
Joker.cpp:199:33: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
199 | forn(i,q) cout<<"NO\n"; return;
| ^~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
456 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
484 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
344 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
456 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
484 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
344 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
856 KB |
Output is correct |
30 |
Correct |
2 ms |
888 KB |
Output is correct |
31 |
Correct |
2 ms |
860 KB |
Output is correct |
32 |
Correct |
2 ms |
860 KB |
Output is correct |
33 |
Correct |
2 ms |
860 KB |
Output is correct |
34 |
Correct |
2 ms |
860 KB |
Output is correct |
35 |
Correct |
2 ms |
856 KB |
Output is correct |
36 |
Correct |
2 ms |
860 KB |
Output is correct |
37 |
Correct |
2 ms |
860 KB |
Output is correct |
38 |
Correct |
1 ms |
812 KB |
Output is correct |
39 |
Correct |
2 ms |
860 KB |
Output is correct |
40 |
Correct |
2 ms |
720 KB |
Output is correct |
41 |
Correct |
2 ms |
860 KB |
Output is correct |
42 |
Correct |
2 ms |
860 KB |
Output is correct |
43 |
Correct |
2 ms |
860 KB |
Output is correct |
44 |
Correct |
2 ms |
860 KB |
Output is correct |
45 |
Correct |
2 ms |
892 KB |
Output is correct |
46 |
Correct |
2 ms |
856 KB |
Output is correct |
47 |
Correct |
2 ms |
856 KB |
Output is correct |
48 |
Correct |
2 ms |
860 KB |
Output is correct |
49 |
Correct |
2 ms |
884 KB |
Output is correct |
50 |
Correct |
2 ms |
860 KB |
Output is correct |
51 |
Correct |
2 ms |
924 KB |
Output is correct |
52 |
Correct |
2 ms |
860 KB |
Output is correct |
53 |
Correct |
2 ms |
860 KB |
Output is correct |
54 |
Correct |
2 ms |
860 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
166 ms |
54176 KB |
Output is correct |
4 |
Correct |
47 ms |
28928 KB |
Output is correct |
5 |
Correct |
193 ms |
60428 KB |
Output is correct |
6 |
Correct |
176 ms |
54164 KB |
Output is correct |
7 |
Correct |
199 ms |
54440 KB |
Output is correct |
8 |
Correct |
182 ms |
49108 KB |
Output is correct |
9 |
Correct |
205 ms |
50540 KB |
Output is correct |
10 |
Correct |
239 ms |
60908 KB |
Output is correct |
11 |
Correct |
184 ms |
52184 KB |
Output is correct |
12 |
Correct |
230 ms |
59280 KB |
Output is correct |
13 |
Correct |
162 ms |
40576 KB |
Output is correct |
14 |
Correct |
189 ms |
48600 KB |
Output is correct |
15 |
Correct |
230 ms |
55672 KB |
Output is correct |
16 |
Correct |
243 ms |
60404 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
456 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
484 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
344 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
166 ms |
54176 KB |
Output is correct |
30 |
Correct |
47 ms |
28928 KB |
Output is correct |
31 |
Correct |
193 ms |
60428 KB |
Output is correct |
32 |
Correct |
176 ms |
54164 KB |
Output is correct |
33 |
Correct |
199 ms |
54440 KB |
Output is correct |
34 |
Correct |
182 ms |
49108 KB |
Output is correct |
35 |
Correct |
205 ms |
50540 KB |
Output is correct |
36 |
Correct |
239 ms |
60908 KB |
Output is correct |
37 |
Correct |
184 ms |
52184 KB |
Output is correct |
38 |
Correct |
230 ms |
59280 KB |
Output is correct |
39 |
Correct |
162 ms |
40576 KB |
Output is correct |
40 |
Correct |
189 ms |
48600 KB |
Output is correct |
41 |
Correct |
230 ms |
55672 KB |
Output is correct |
42 |
Correct |
243 ms |
60404 KB |
Output is correct |
43 |
Correct |
177 ms |
49484 KB |
Output is correct |
44 |
Correct |
48 ms |
28184 KB |
Output is correct |
45 |
Correct |
191 ms |
60268 KB |
Output is correct |
46 |
Correct |
174 ms |
49408 KB |
Output is correct |
47 |
Correct |
198 ms |
49412 KB |
Output is correct |
48 |
Correct |
208 ms |
49416 KB |
Output is correct |
49 |
Correct |
256 ms |
61564 KB |
Output is correct |
50 |
Correct |
185 ms |
49684 KB |
Output is correct |
51 |
Correct |
202 ms |
54224 KB |
Output is correct |
52 |
Correct |
214 ms |
62568 KB |
Output is correct |
53 |
Correct |
168 ms |
46280 KB |
Output is correct |
54 |
Correct |
204 ms |
51204 KB |
Output is correct |
55 |
Correct |
231 ms |
55676 KB |
Output is correct |
56 |
Correct |
238 ms |
60280 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
456 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
484 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
344 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
856 KB |
Output is correct |
30 |
Correct |
2 ms |
888 KB |
Output is correct |
31 |
Correct |
2 ms |
860 KB |
Output is correct |
32 |
Correct |
2 ms |
860 KB |
Output is correct |
33 |
Correct |
2 ms |
860 KB |
Output is correct |
34 |
Correct |
2 ms |
860 KB |
Output is correct |
35 |
Correct |
2 ms |
856 KB |
Output is correct |
36 |
Correct |
2 ms |
860 KB |
Output is correct |
37 |
Correct |
2 ms |
860 KB |
Output is correct |
38 |
Correct |
1 ms |
812 KB |
Output is correct |
39 |
Correct |
2 ms |
860 KB |
Output is correct |
40 |
Correct |
2 ms |
720 KB |
Output is correct |
41 |
Correct |
2 ms |
860 KB |
Output is correct |
42 |
Correct |
2 ms |
860 KB |
Output is correct |
43 |
Correct |
2 ms |
860 KB |
Output is correct |
44 |
Correct |
2 ms |
860 KB |
Output is correct |
45 |
Correct |
2 ms |
892 KB |
Output is correct |
46 |
Correct |
2 ms |
856 KB |
Output is correct |
47 |
Correct |
2 ms |
856 KB |
Output is correct |
48 |
Correct |
2 ms |
860 KB |
Output is correct |
49 |
Correct |
2 ms |
884 KB |
Output is correct |
50 |
Correct |
2 ms |
860 KB |
Output is correct |
51 |
Correct |
2 ms |
924 KB |
Output is correct |
52 |
Correct |
2 ms |
860 KB |
Output is correct |
53 |
Correct |
2 ms |
860 KB |
Output is correct |
54 |
Correct |
2 ms |
860 KB |
Output is correct |
55 |
Correct |
138 ms |
48160 KB |
Output is correct |
56 |
Correct |
44 ms |
27936 KB |
Output is correct |
57 |
Correct |
159 ms |
58260 KB |
Output is correct |
58 |
Correct |
145 ms |
46900 KB |
Output is correct |
59 |
Correct |
193 ms |
46844 KB |
Output is correct |
60 |
Correct |
217 ms |
58496 KB |
Output is correct |
61 |
Correct |
163 ms |
46828 KB |
Output is correct |
62 |
Correct |
199 ms |
57200 KB |
Output is correct |
63 |
Correct |
153 ms |
40660 KB |
Output is correct |
64 |
Correct |
204 ms |
48248 KB |
Output is correct |
65 |
Correct |
233 ms |
60232 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
456 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
484 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
344 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
856 KB |
Output is correct |
30 |
Correct |
2 ms |
888 KB |
Output is correct |
31 |
Correct |
2 ms |
860 KB |
Output is correct |
32 |
Correct |
2 ms |
860 KB |
Output is correct |
33 |
Correct |
2 ms |
860 KB |
Output is correct |
34 |
Correct |
2 ms |
860 KB |
Output is correct |
35 |
Correct |
2 ms |
856 KB |
Output is correct |
36 |
Correct |
2 ms |
860 KB |
Output is correct |
37 |
Correct |
2 ms |
860 KB |
Output is correct |
38 |
Correct |
1 ms |
812 KB |
Output is correct |
39 |
Correct |
2 ms |
860 KB |
Output is correct |
40 |
Correct |
2 ms |
720 KB |
Output is correct |
41 |
Correct |
2 ms |
860 KB |
Output is correct |
42 |
Correct |
2 ms |
860 KB |
Output is correct |
43 |
Correct |
2 ms |
860 KB |
Output is correct |
44 |
Correct |
2 ms |
860 KB |
Output is correct |
45 |
Correct |
2 ms |
892 KB |
Output is correct |
46 |
Correct |
2 ms |
856 KB |
Output is correct |
47 |
Correct |
2 ms |
856 KB |
Output is correct |
48 |
Correct |
2 ms |
860 KB |
Output is correct |
49 |
Correct |
2 ms |
884 KB |
Output is correct |
50 |
Correct |
2 ms |
860 KB |
Output is correct |
51 |
Correct |
2 ms |
924 KB |
Output is correct |
52 |
Correct |
2 ms |
860 KB |
Output is correct |
53 |
Correct |
2 ms |
860 KB |
Output is correct |
54 |
Correct |
2 ms |
860 KB |
Output is correct |
55 |
Correct |
166 ms |
54176 KB |
Output is correct |
56 |
Correct |
47 ms |
28928 KB |
Output is correct |
57 |
Correct |
193 ms |
60428 KB |
Output is correct |
58 |
Correct |
176 ms |
54164 KB |
Output is correct |
59 |
Correct |
199 ms |
54440 KB |
Output is correct |
60 |
Correct |
182 ms |
49108 KB |
Output is correct |
61 |
Correct |
205 ms |
50540 KB |
Output is correct |
62 |
Correct |
239 ms |
60908 KB |
Output is correct |
63 |
Correct |
184 ms |
52184 KB |
Output is correct |
64 |
Correct |
230 ms |
59280 KB |
Output is correct |
65 |
Correct |
162 ms |
40576 KB |
Output is correct |
66 |
Correct |
189 ms |
48600 KB |
Output is correct |
67 |
Correct |
230 ms |
55672 KB |
Output is correct |
68 |
Correct |
243 ms |
60404 KB |
Output is correct |
69 |
Correct |
177 ms |
49484 KB |
Output is correct |
70 |
Correct |
48 ms |
28184 KB |
Output is correct |
71 |
Correct |
191 ms |
60268 KB |
Output is correct |
72 |
Correct |
174 ms |
49408 KB |
Output is correct |
73 |
Correct |
198 ms |
49412 KB |
Output is correct |
74 |
Correct |
208 ms |
49416 KB |
Output is correct |
75 |
Correct |
256 ms |
61564 KB |
Output is correct |
76 |
Correct |
185 ms |
49684 KB |
Output is correct |
77 |
Correct |
202 ms |
54224 KB |
Output is correct |
78 |
Correct |
214 ms |
62568 KB |
Output is correct |
79 |
Correct |
168 ms |
46280 KB |
Output is correct |
80 |
Correct |
204 ms |
51204 KB |
Output is correct |
81 |
Correct |
231 ms |
55676 KB |
Output is correct |
82 |
Correct |
238 ms |
60280 KB |
Output is correct |
83 |
Correct |
138 ms |
48160 KB |
Output is correct |
84 |
Correct |
44 ms |
27936 KB |
Output is correct |
85 |
Correct |
159 ms |
58260 KB |
Output is correct |
86 |
Correct |
145 ms |
46900 KB |
Output is correct |
87 |
Correct |
193 ms |
46844 KB |
Output is correct |
88 |
Correct |
217 ms |
58496 KB |
Output is correct |
89 |
Correct |
163 ms |
46828 KB |
Output is correct |
90 |
Correct |
199 ms |
57200 KB |
Output is correct |
91 |
Correct |
153 ms |
40660 KB |
Output is correct |
92 |
Correct |
204 ms |
48248 KB |
Output is correct |
93 |
Correct |
233 ms |
60232 KB |
Output is correct |
94 |
Correct |
172 ms |
54012 KB |
Output is correct |
95 |
Correct |
249 ms |
60404 KB |
Output is correct |
96 |
Correct |
192 ms |
57984 KB |
Output is correct |
97 |
Correct |
174 ms |
53000 KB |
Output is correct |
98 |
Correct |
201 ms |
53008 KB |
Output is correct |
99 |
Correct |
194 ms |
45096 KB |
Output is correct |
100 |
Correct |
252 ms |
60288 KB |
Output is correct |
101 |
Correct |
193 ms |
49068 KB |
Output is correct |
102 |
Correct |
205 ms |
59792 KB |
Output is correct |
103 |
Correct |
245 ms |
64112 KB |
Output is correct |
104 |
Correct |
194 ms |
45616 KB |
Output is correct |
105 |
Correct |
256 ms |
56412 KB |
Output is correct |
106 |
Correct |
287 ms |
57980 KB |
Output is correct |
107 |
Correct |
134 ms |
59624 KB |
Output is correct |
108 |
Correct |
201 ms |
51364 KB |
Output is correct |
109 |
Correct |
169 ms |
50628 KB |
Output is correct |
110 |
Correct |
184 ms |
51856 KB |
Output is correct |
111 |
Correct |
184 ms |
49848 KB |
Output is correct |
112 |
Correct |
168 ms |
50192 KB |
Output is correct |
113 |
Correct |
168 ms |
49888 KB |
Output is correct |
114 |
Correct |
170 ms |
51604 KB |
Output is correct |
115 |
Correct |
169 ms |
49916 KB |
Output is correct |
116 |
Correct |
167 ms |
49920 KB |
Output is correct |