Thieves and Prisons

input/code.cpp: In instantiation of 'void fast_print(const std::vector<_Tp>&) [with T = int]':
input/code.cpp:244:12:   required from 'std::ostream& operator,(std::ostream&, const T&) [with T = std::vector<int>; std::ostream = std::basic_ostream<char>]'
input/code.cpp:341:11:   required from here
input/code.cpp:181:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 1; i < v.size(); i++) {
input/code.cpp: In function 'void fast_scan(int&)':
input/code.cpp:133:31: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
 void fast_scan(int &x) { scanf("%d", &x); }
                          ~~~~~^~~~~~~~~~
input/code.cpp: In function 'void fast_scan(long long int&)':
input/code.cpp:134:37: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
 void fast_scan(long long &x) { scanf("%lld", &x); }...

/*
                                                                                                     
                                             `-:://:::-                                             
                                           `//:-------:/:`                                          
                                          .+:--.......--:+`                                         
                                         `+:--..`````..--//`                                        
                                         .o:--..`` ``..--:o`                                        
                                         .o:--...```..---+/`                                        
                                       `/y+o/---....---:+o.                                         
                                   `...````-os+/:---:/+o/--.`                                       
              `-/+++++/:.      `...`       :h+d+oooo+/+-`   ...                                     
            `/++//:::://++-`....`         -.`//````````:`     `..`                                  
           `o+/::------://o/`           `-` -.          -`       `..`                               
 `---.-o/:./o/::-..``..-ЗАПУСКАЕМ      ..  ..            -`        `...       ``..``                
  `....o+:-++/:--.```..-://s.        `-`  .-              -`          `-o: .-//::::/:-`             
          `:s+/:--....-::/+s-`      .-   `-                -`           -///:--------:/:`           
           ./s+//:::::://oo-``..НЕЙРОННУЮ: СЕТЬ:::::::-`РАБОТЯГИ        `+:--........--:/`          
            .:ooo+++++osso-`    `.:-...`/` ./::-------:/:`   -`         :+--..``````.--:+:...-+:-`  
             `.-/+++++/+-.-`    -.   ``:so:/:--.......--:+`  `-```````o+/+--..`````..--:o/-..:s+:.  
                 ```````:``.. `-`     -` `+:--..`````..--/+-.../.`````..-o:--.......---/o.    `     
                        `:  `:-      -.  .o:--..`` ``..--:o`   `-`      `:o+:--------:+o-`          
                         `-`-...    ..   .o/--...```..--:+/`    `-`     `oy/so/////++o/.`           
                          -/`  `-` `- ``+s/o/:---...---:++.      `-`   .-../d://///:-.`             
                `.---..``-..-    .-/..`````-oo+/:::::/+o+-        `-``-`  `-.  ````                 
             `:++++/+++++-  ..``.-/:`      /y-:/++o++/:.`..`       ./.   `-                         
            -++/::::::://+/..:-``:` ..   `-.`  ```.```    `..`   `..`-` `-                          
       ``  -o//:--....-::/++` -.-`   `-`.-`                 `..`..`  `-.-                           
  -----ss+:++/:--.```..-://s.  /.     `::                    `-:.     ./`                           
  `````/:..+o/::-..``.--:/+s. ..-`   `-``-`                 ..` `-`  `-`-`                          
          `-s+/::-----::/+oo---``-` ..    .:-    ```      .-`     .-.-  `-`                         
           `:oo+//::://+os/..:`..-/:`      :y.-:::::::.`.-`        ./-`  `-`                        
            `./+oooooooo+/.`-    .-:...`.. .//:-------://`        `- `..` `:.                       
              ``.-::::-.``-/`  `-` `-  `oo:+:--.......--:/`      `-    `.:--h.``..```               
                          -.-`.-    .-   `+:--..`````..--//`    `-       /s-//::::::::.             
                         -` `/-      ..  .o:--..`` ``..--:o.```.-        `//:--------://`           
                        -` .-`.-`     -.`-o/--...```..--:+/.``-:....``:-.+:--....`...--:+`          
                       ..`-.   `-.   ``:os:o/:---...---:++.  `-     ``///+:-..``````.--:+-````-.`   
              `.:///////.-`      .:-..` -``-+o+/:::::/+o/.  `-         `:+:-..`````..--:o/:--/ys+-  
            `-++///////+o/. ``....`-.    :` `.:++++++/:.`  .-           -o/---......---/o.   `.`    
           `++//:-----::/+o:..`     .-`   :    ```````    .-           `+so+:--------:++-`          
  `````:-``:o/::-..`..--:/+o`         -.  `-             .-          `../../+o+////+o+:.`           
  -----syo/o+/:--.```..-://s.          .-` `-           .-        `...     ``-:////:-``             
       .` `/s//:--....-::/+s.            -. `-`        .-       `..`                                
           .+o+/:::--:://+s/-..`          .::+y  ```  .-     `..`                                   
            ./oo++////+oso-`   `....       :y-+:::::::/`   ...                                      
             `.:+oooooo/-`         `....-. .//:-------:/:-.`                                        
                ``...``                 /+:+:--.......--:+`                                         
                                         `+:--..`````..--//`                                        
                                         .o:--..`` ``..--:o`                                        
                                         .+/--...```..--:+/`                                        
                                         `-o/:---...---:++.                                         
                                          `-+o+/:---:/+o/.                                          
                                            `.:+oooo+/-.`                                           
                                               ``````                                               
*/
 
#ifdef aimbot
#pragma comment(linker, "/stack:200000000")
#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#pragma GCC optimize("unroll-loops")
#endif
 
#include <iostream>
#include <vector>
#include <algorithm>
#include <cmath>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <map>
#include <set>
#include <queue>
#include <ostream>
#include <istream>
#include <typeinfo>
#include <iomanip>
#include <cstdio>
#include <cstdlib>
#include <cassert>
#include <limits>
#include <fstream>
#include <array>
#include <list>
#include <bitset>
#include <functional>
#include <random>
#include <cstring>
#include <chrono>
 
#define random escape__from__random__aetuhoetnuhshe
#define mt make_tuple
#define x first
#define y second
#define pb push_back
#define ppb pop_back
#define mp make_pair
#define umap unordered_map
#define uset unordered_set
#define elif else if
#define len(v) ((int)v.size())
#define f(i, n) for (int i = 0; i < (n); i++)
#define rof(i, n) for (int i = ((n) - 1); i >= 0; i--) 
#define apply(v, act) for (auto &x : v) { act; }
#define log(args...) {string s = #args;deque<string> deq;\
string buf = "";int bal = 0;for (char c : s) {\
if (c == '(' || c == '[' || c == '{') {bal++;\
} else if (c == ')' || c == ']' || c == '}') {\
bal--;} else {if (bal == 0) {if (c == ',') {\
deq.pb(buf);buf = "";} else {if (c != ' ') {\
buf += c;}}}}}if (!buf.empty()) {deq.pb(buf);}\
smart_io::precall_print();smart_io::_print(deq, args);}
 
#define print    \
smart_io::precall_print(); \
cout,
 
#define scan cin,
 
#ifdef fast_allocator
const int MAXMEM = 200 * 1000 * 1024;
char _memory[MAXMEM];
size_t _ptr = 0;
void* operator new(size_t _x) { _ptr += _x; assert(_ptr < MAXMEM); return _memory + _ptr - _x; }
void operator delete (void*) noexcept {}
#endif
 
using namespace std;
 
char string_in_buffer[(int)260];
 
 
void fast_scan(int &x) { scanf("%d", &x); }
void fast_scan(long long &x) { scanf("%lld", &x); }
void fast_scan(unsigned long long &x) { scanf("%llu", &x); }
void fast_scan(double &x) { scanf("%lf", &x); }
void fast_scan(long double &x) { scanf("%Lf", &x); }
void fast_scan(char &x) { 
	scanf("%c", &x); 
	if (x == '\n') {
		fast_scan(x);
	}
}
void fast_scan(string &x) {
	scanf("%s", string_in_buffer);
	x = string(string_in_buffer);
}
 
template<class TFirst, class TSecond>
void fast_scan(pair<TFirst, TSecond> &p) {
	fast_scan(p.first);
	fast_scan(p.second);
}
 
template <class T>
void fast_scan(vector<T> &v) {
	for (auto &x : v) fast_scan(x);
}
 
void fast_print(const int &x) { printf("%d", x); }
void fast_print(const unsigned int &x) { printf("%u", x); }
void fast_print(const long long &x) { printf("%lld", x); }
void fast_print(const unsigned long long &x) { printf("%llu", x); }
void fast_print(const double &x) { printf("%.15lf", x); }
void fast_print(const long double &x) { printf("%.15Lf", x); }
void fast_print(const char &x) { printf("%c", x); };
void fast_print(const string &x) { printf("%s", x.c_str());}
void fast_print(const char v[]) { fast_print((string)v); }
 
template<class TFirst, class TSecond>
void fast_print(const pair<TFirst, TSecond> &p) {
	fast_print(p.first);
	fast_print(' ');
	fast_print(p.second);
}
 
template <class T>
void fast_print(const vector<T> &v) {
	if (v.empty()) return;
	fast_print(v[0]);
	for (int i = 1; i < v.size(); i++) {
		fast_print(' ');
		fast_print(v[i]);
	}
}
 
template <class T>
void fast_print(const vector<vector<T>> &v) {
	if (v.empty()) return;
	fast_print(v[0]);
	for (int i = 1; i < v.size(); i++) {
		fast_print('\n');
		fast_print(v[i]);
	}
}
 
template <class T>
void fast_print(const T &v) {
	for (const auto &x : v) {
		fast_print(x);
		fast_print(' ');
	}
}
 
 
using namespace std;
 
 
namespace smart_io {
	string print_start = "";
	string sep = " ";
	bool first_print = false;
 
	void precall_print() {
		fast_print(print_start);
		print_start = "\n";
		first_print = true;
	}
 
	void _print(deque<string>) {}
	template<class T, class... Args>
	void _print(deque<string> names, T elem, Args... args) {
		if (!first_print) {
			fast_print("\n");
		} else {
			first_print = false;
		}
		fast_print(names.front());
		fast_print(" = ");
		fast_print(elem);
		names.pop_front();
		_print(names, args...);
	}
} //namespace smart_io
 
 
template <class T>
ostream &operator,(ostream &os, const T &object) {
	if (!smart_io::first_print) {
		fast_print(smart_io::sep);
	} else {
		smart_io::first_print = false;
	}
	fast_print(object);
	return os;
}
 
template <class T>
istream &operator,(istream &is, T &object) {
	fast_scan(object);
	return is;
}
 
namespace random {
	using namespace std::chrono;
	mt19937 rng(duration_cast< milliseconds >(
		system_clock::now().time_since_epoch()
	).count());
	uniform_real_distribution<> prob_dist(0.0, 1.0);
};
 
namespace typedefs {
	typedef long long ll;
	typedef unsigned long long ull;
	typedef pair<int, int> pii;
	typedef long double ld;
}
 
namespace numbers_operation {
	template<class T>
	T floor_mod(T a, T b) {
		if (a >= 0 && b >= 0) return a % b;
		if (a <= 0 && b <= 0) return a % b;
		return abs(b) - (abs(a) % abs(b));
	}
}
 
using namespace numbers_operation;
using namespace typedefs;
using namespace random;
 
int n, k, m;
 
vector<int> R, up;
vector<int> suff;
vector<pair<string, int>> qs;
int get_right(int i) {
	if (up[i] == i) return i;
	return up[i] = get_right(up[i]);
}
 
bool check(vector<int> p) {
	vector<set<int>> prisons(k + 1);
	set<int> free;
	for (int i = 1; i <= n; i++) {
		free.insert(i);
	}
	for (int i = 0; i < m; i++) {
		int id = p[i];
		if (id > k) return false;
		if (qs[i].x == "C") {
			if (!free.count(qs[i].y)) return false;
			free.erase(qs[i].y);
			prisons[id].insert(qs[i].y);
		} else {
			if (!free.count(qs[i].y)) return false;
			if (prisons[id].empty()) return false;
			for (int x : prisons[id]) {
				free.insert(x);
			}
			prisons[id].clear();
		}
	}
	return true;
}
 
signed main(signed argc, char *argv[]) {
	scan n, k, m;
	vector<int> caught(n + 1, -1e9);
	set<int> free;
	for (int i = 1; i <= n; i++) {
		free.insert(i);
	}
	qs.resize(m);
	scan qs;
	vector<vector<int>> where(n + 1);
	suff.resize(m, -1);
	R.resize(m + 1);
	R[m] = m;
	if (m <= 12) {
		for (int mask = 0; mask < (1 << m); mask++) {
			vector<int> rez;
			f(j, m) {
				if ((1 << j) & mask) {
					rez.pb(1);
				} else {
					rez.pb(2);
				}
			}
			if (check(rez)) {
				print rez;
				return 0;
			}
		}
		print "IMPOSSIBLE";
		return 0;
	}
	rof(i, m) {
		if (qs[i].x == "O") {
			R[i] = i;
		} else {
			R[i] = R[i + 1];
		}
	}
	up = R;
	
	for (int i = 0; i < m; i++) {
		where[qs[i].y].pb(i);
	}
 
	vector<vector<pii>> end(m);
	for (int i = 1; i <= n; i++) {
		for (int j = 0; j < len(where[i]) - 1; j++) {
			int a = where[i][j];
			int b = where[i][j + 1];
			if (qs[a].x == "C") {
				end[b].emplace_back(a, i);
			}
		}
	}
	for (int i = 0; i < m; i++) {
		sort(end[i].begin(), end[i].end());
		for (pii p : end[i]) {
			bool found = false;
			for (int j = p.x + 1; j < i; j = get_right(j + 1)) {
				if (qs[j].x == "O") {
					if (suff[j] == -1) {
						int valid = p.y;
						suff[p.x] = suff[j] = valid;
						up[j] = get_right(j + 1);
						found = true;
						break;
					}
				}
			}
			if (!found) {
				int j = R[p.x];
				if (j >= i) {
					print "IMPOSSIBLE";
					return 0;
				} else {
					suff[p.x] = suff[j];
				}
			}
		}
	}
	f(i, m) {
		if (suff[i] == -1) {
			if (qs[i].x == "C") {
				suff[i] = 1;
			} else {
				print "IMPOSSIBLE";
				return 0;
			}
		}
	}
	if (check(suff)) {
		print suff;
	} else {
		print "IMPOSSIBLE";
	}
}

Test 1

Group: 2, 4, 5

Verdict: ACCEPTED

Test 2

Group: 2, 4, 5

Verdict: ACCEPTED

Test 3

Group: 2, 4, 5

Verdict: ACCEPTED

Test 4

Group: 2, 4, 5

Verdict: ACCEPTED

Test 5

Group: 2, 4, 5

Verdict: ACCEPTED

Test 6

Group: 4, 5

Verdict: ACCEPTED

Test 7

Group: 4, 5

Verdict: ACCEPTED

Test 8

Group: 4, 5

Verdict: ACCEPTED

Test 9

Group: 1, 3, 4, 5

Verdict: ACCEPTED

Test 10

Group: 1, 3, 4, 5

Verdict: ACCEPTED

Test 11

Group: 1, 3, 4, 5

Verdict: ACCEPTED

Test 12

Group: 1, 3, 4, 5

Verdict: ACCEPTED

Test 13

Group: 1, 3, 4, 5

Verdict: ACCEPTED

Test 14

Group: 1, 3, 4, 5

Verdict: ACCEPTED

Test 15

Group: 1, 3, 4, 5

Verdict: ACCEPTED

Test 16

Group: 1, 3, 4, 5

Verdict: ACCEPTED

Test 17

Group: 1, 2, 3, 4, 5

Verdict: ACCEPTED

Test 18

Group: 1, 3, 4, 5

Verdict: ACCEPTED

Test 19

Group: 2, 5

Verdict: WRONG ANSWER

Test 20

Group: 2, 5

Verdict: ACCEPTED

Test 21

Group: 2, 5

Verdict: ACCEPTED

Test 22

Group: 5

Verdict: ACCEPTED

Test 23

Group: 5

Verdict: ACCEPTED

Test 24

Group: 3, 4, 5

Verdict: WRONG ANSWER

Test 25

Group: 3, 4, 5

Verdict: WRONG ANSWER

Test 26

Group: 3, 4, 5

Verdict: WRONG ANSWER

Test 27

Group: 3, 4, 5

Verdict: WRONG ANSWER

Test 28

Group: 4, 5

Verdict: WRONG ANSWER

Test 29

Group: 4, 5

Verdict: WRONG ANSWER

Test 30

Group: 4, 5

Verdict: WRONG ANSWER

Test 31

Group: 4, 5

Verdict: WRONG ANSWER

Test 32

Group: 2, 4, 5

Verdict: WRONG ANSWER

Test 33

Group: 2, 4, 5

Verdict: WRONG ANSWER

Test 34

Group: 2, 4, 5

Verdict: WRONG ANSWER

Test 35

Group: 2, 4, 5

Verdict: WRONG ANSWER

Test 36

Group: 3, 5

Verdict: WRONG ANSWER

Test 37

Group: 3, 5

Verdict: WRONG ANSWER

Test 38

Group: 3, 5

Verdict: WRONG ANSWER

Test 39

Group: 3, 5

Verdict: WRONG ANSWER

Test 40

Group: 5

Verdict: WRONG ANSWER

Test 41

Group: 5

Verdict: WRONG ANSWER

Test 42

Group: 5

Verdict: WRONG ANSWER

Test 43

Group: 5

Verdict: WRONG ANSWER

Test 44

Group: 2, 5

Verdict: WRONG ANSWER

Test 45

Group: 2, 5

Verdict: WRONG ANSWER

Test 46

Group: 2, 5

Verdict: WRONG ANSWER

Test 47

Group: 2, 5

Verdict: WRONG ANSWER