Submission #742016

#	Time	Username	Problem	Language	Result	Execution time	Memory
742016		marvinthang	Paint By Numbers (IOI16_paint)	C++17	100 / 100	733 ms	174080 KiB

paint

/*************************************
*    author: marvinthang             *
*    created: 15.05.2023 17:33:27    *
*************************************/

#include "paint.h"
#include <bits/stdc++.h>

using namespace std;

#define                  fi  first
#define                  se  second
#define                left  ___left
#define               right  ___right
#define                TIME  (1.0 * clock() / CLOCKS_PER_SEC)
#define             MASK(i)  (1LL << (i))
#define           BIT(x, i)  ((x) >> (i) & 1)
#define  __builtin_popcount  __builtin_popcountll
#define              ALL(v)  (v).begin(), (v).end()
#define           REP(i, n)  for (int i = 0, _n = (n); i < _n; ++i)
#define          REPD(i, n)  for (int i = (n); i--; )
#define        FOR(i, a, b)  for (int i = (a), _b = (b); i < _b; ++i) 
#define       FORD(i, b, a)  for (int i = (b), _a = (a); --i >= _a; ) 
#define       FORE(i, a, b)  for (int i = (a), _b = (b); i <= _b; ++i) 
#define      FORDE(i, b, a)  for (int i = (b), _a = (a); i >= _a; --i) 
#define        scan_op(...)  istream & operator >> (istream &in, __VA_ARGS__ &u)
#define       print_op(...)  ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
    #include "debug.h"
#else
    #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
    #define DB(...) 23
    #define db(...) 23
    #define debug(...) 23
#endif

template <class U, class V> scan_op(pair <U, V>)  { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>)  { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>)  { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")";  else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }

const int MOD = 1e9 + 7;
namespace Mod {

    inline void fasterLLDivMod(unsigned long long x, unsigned y, unsigned &out_d, unsigned &out_m) {
        unsigned xh = (unsigned)(x >> 32), xl = (unsigned)x, d, m;
    #ifdef __GNUC__
        asm(
            "divl %4 \n\t"
            : "=a" (d), "=d" (m)
            : "d" (xh), "a" (xl), "r" (y)
        );
    #else
        __asm {
            mov edx, dword ptr[xh];
            mov eax, dword ptr[xl];
            div dword ptr[y];
            mov dword ptr[d], eax;
            mov dword ptr[m], edx;
        };
    #endif
        out_d = d; out_m = m;
    }

    template <class T> T invGeneral(T a, T b) {
        a %= b;
        if (!a) return b == 1 ? 0 : -1;
        T x = invGeneral(b, a);
        return x == -1 ? -1 : ((1 - 1LL * b * x) / a + b) % b;
    }

    template <int MOD>
    struct ModInt {
        
        unsigned int val;

        ModInt(void): val(0) {}
        ModInt(const long long &x) { *this = x; }

        ModInt & normalize(const unsigned int &v) {
            val = v >= MOD ? v - MOD : v;
            return *this;
        }

        bool operator ! (void) { return !val; }

        ModInt & operator = (const ModInt &x) { val = x.val; return *this; }
        ModInt & operator = (const long long &x) { return normalize(x % MOD + MOD); }

        ModInt operator - (void) { return ModInt(MOD - val); }

        ModInt & operator += (const ModInt &other) { return normalize(val + other.val); }
        ModInt & operator -= (const ModInt &other) { return normalize(val + MOD - other.val); }
        ModInt & operator /= (const ModInt &other) { return *this *= other.inv(); }

        ModInt & operator *= (const ModInt &other) {
            unsigned dummy;
            fasterLLDivMod((unsigned long long) val * other.val, MOD, dummy, val);
            return *this;
        }

        ModInt operator + (const ModInt &other) const { return ModInt(*this) += other; }
        ModInt operator - (const ModInt &other) const { return ModInt(*this) -= other; }
        ModInt operator * (const ModInt &other) const { return ModInt(*this) *= other; }
        ModInt operator / (const ModInt &other) const { return ModInt(*this) /= other; }

        ModInt pow(long long n) const {
            assert(n >= 0);
            ModInt res = 1, a = *this;
            for (; n; n >>= 1, a *= a) if (n & 1) res *= a;
            return res;
        }

        ModInt inv(void) const {
            int i = invGeneral((int) val, MOD);
            assert(~i);
            return i;
        }

        ModInt & operator ++ (void) { return *this += 1; }
        ModInt & operator -- (void) { return *this -= 1; }
        ModInt operator ++ (int) { ModInt old = *this; operator ++(); return old; }
        ModInt operator -- (int) { ModInt old = *this; operator --(); return old; }

        friend ModInt operator + (const long long &x, const ModInt &y) { return ModInt(x) + y; }
        friend ModInt operator - (const long long &x, const ModInt &y) { return ModInt(x) - y; }
        friend ModInt operator * (const long long &x, const ModInt &y) { return ModInt(x) * y; }
        friend ModInt operator / (const long long &x, const ModInt &y) { return ModInt(x) / y; }
        friend ostream & operator << (ostream &out, const ModInt &x) { return out << x.val; }
        friend istream & operator >> (istream &in, ModInt &x) { long long a; in >> a; x = a; return in; }

        bool operator < (const ModInt &other) const { return val < other.val; }
        bool operator > (const ModInt &other) const { return val > other.val; }
        bool operator <= (const ModInt &other) const { return val <= other.val; }
        bool operator >= (const ModInt &other) const { return val >= other.val; }
        bool operator == (const ModInt &other) const { return val == other.val; }
        bool operator != (const ModInt &other) const { return val != other.val; }
        explicit operator bool(void) const { return val; }
        explicit operator int(void) const { return val; }

    };  

    using Modular = ModInt <MOD>;

}

using namespace Mod;

// end of template

string solve_puzzle(string s, vector <int> c) {
    int n = s.size(), k = c.size();
    s = '_' + s + '_';
    vector <int> sum_(n + 1);
    FORE(i, 1, n) sum_[i] = sum_[i - 1] + (s[i] == '_');
    vector <vector <Modular>> dp_pref(n + 2, vector<Modular>(k + 1));
    dp_pref[0][0] = 1;
    REP(i, n + 1) REP(j, k + 1) if (dp_pref[i][j]) {
        if (s[i + 1] != 'X') dp_pref[i + 1][j] += dp_pref[i][j];
        if (j == k) continue;
        int nxt_i = i + c[j];
        if (nxt_i > n || sum_[nxt_i] != sum_[i] || s[nxt_i + 1] == 'X') continue;
        dp_pref[nxt_i + 1][j + 1] += dp_pref[i][j];
    }
    vector <vector <Modular>> dp_suff(n + 2, vector<Modular>(k + 1));
    dp_suff[n + 1][k] = 1;
    FORDE(i, n + 1, 1) REP(j, k + 1) {
        if (s[i - 1] != 'X') dp_suff[i - 1][j] += dp_suff[i][j];
        if (!j) continue;
        int nxt_i = i - c[j - 1];
        if (nxt_i < 1 || sum_[nxt_i - 1] != sum_[i - 1] || s[nxt_i - 1] == 'X') continue;
        dp_suff[nxt_i - 1][j - 1] += dp_suff[i][j];
    }
    FORE(i, 1, n) if (s[i] == '.') {
        Modular sum = 0;
        REP(j, k + 1) sum += dp_pref[i][j] * dp_suff[i][j];
        if (sum == dp_pref[n + 1][k]) s[i] = '_';
        else if (!sum) s[i] = 'X';
        else s[i] = '?';
    }
    s.erase(s.begin());
    s.pop_back();
    return s;
}

#ifdef LOCAL
#include "paint.h"

#include <vector>
#include <string>
#include <cstdio>
#include <cassert>

const int S_MAX_LEN = 200 * 1000;
char buf[S_MAX_LEN + 1];

int main() {
    file("paint");
    assert(1 == scanf("%s", buf));
    std::string s = buf;
    int c_len;
    assert(1 == scanf("%d", &c_len));
    std::vector<int> c(c_len);
    for (int i = 0; i < c_len; i++) {
        assert(1 == scanf("%d", &c[i]));
    }
    std::string ans = solve_puzzle(s, c);


    printf("%s\n", ans.data());
    return 0;
}
#endif

• Subtask 1: 7 / 7
• Subtask 2: 3 / 3
• Subtask 3: 22 / 22
• Subtask 4: 27 / 27
• Subtask 5: 21 / 21
• Subtask 6: 10 / 10
• Subtask 7: 10 / 10