#include <cstdint> #include <cstdio> #include <memory> #include <vector> #include <deque> using namespace std; // two-way hasher struct Hasher2w { virtual void append(char ch) = 0; virtual void prepend(char ch) = 0; virtual bool operator==(Hasher2w const &rhs) const = 0; bool operator!=(Hasher2w const &rhs) { return not (*this == rhs); } virtual shared_ptr<Hasher2w> clone() const = 0; }; // counts occurrences struct ByteHistogram: Hasher2w { vector<size_t> counter; ByteHistogram(): counter(256, 0) { } void append(char ch) { counter[(unsigned char)(ch)]++; } void prepend(char ch) { counter[(unsigned char)(ch)]++; } bool operator==(Hasher2w const &rhs) const { ByteHistogram const *rhstp = dynamic_cast<ByteHistogram const *>(&rhs); if(rhstp == nullptr) return false; return counter == rhstp->counter; } bool possiblePalindrome() const { size_t odds = 0; for(size_t i = 0; i < 256; i++) { if(counter[i] % 2 == 1) odds++; if(odds >= 2) return false; } return true; } virtual shared_ptr<Hasher2w> clone() const { return make_shared<ByteHistogram>(*this); } }; // keeps prefix and suffix struct SideKeeper: Hasher2w { size_t const length; deque<char> prefix; deque<char> suffix; SideKeeper(size_t _length): length(_length) { } void append(char ch) { suffix.push_back(ch); if(suffix.size() > length) suffix.pop_front(); if(prefix.size() < length) prefix.push_back(ch); } void prepend(char ch) { prefix.push_front(ch); if(prefix.size() > length) prefix.pop_back(); if(suffix.size() < length) suffix.push_front(ch); } bool operator==(Hasher2w const &rhs) const { SideKeeper const *rhstp = dynamic_cast<SideKeeper const *>(&rhs); if(rhstp == nullptr) return false; return prefix == rhstp->prefix and suffix == rhstp->suffix; } virtual shared_ptr<Hasher2w> clone() const { return make_shared<SideKeeper>(*this); } }; // calculates radix-based multiple-digit number modulo dividend (you append/prepend the digits) struct DigitalHasher2w: Hasher2w { uint32_t const dividend; uint32_t const radix; unsigned int degree; uint32_t powval; uint32_t state; DigitalHasher2w(uint32_t _dividend, uint32_t _radix): dividend(_dividend), radix(_radix), degree(0), powval(1), state(0) { } void append(char ch) { state = ((unsigned char)(ch) * uint64_t(powval) + state) % dividend; powval = (powval * uint64_t(radix)) % dividend; degree++; } void prepend(char ch) { state = (state * uint64_t(radix) + (unsigned char)(ch)) % dividend; powval = (powval * uint64_t(radix)) % dividend; degree++; } bool operator==(Hasher2w const &rhs) const { DigitalHasher2w const *rhstp = dynamic_cast<DigitalHasher2w const *>(&rhs); if(rhstp == nullptr) return false; return state == rhstp->state; } virtual shared_ptr<Hasher2w> clone() const { return make_shared<DigitalHasher2w>(*this); } }; // calculates (1*a0 + 2*a1 + 3*a2 + ...) MOD dividend (you append/prepend elements of (a) sequence) // keeps the value of (a0 + a1 + ...) MOD dividend and uses it in comparisons as well struct LinearHasher2w: Hasher2w { uint32_t const dividend; uint32_t sum; uint32_t count; uint32_t state; LinearHasher2w(uint32_t _dividend): dividend(_dividend), sum(0), count(0), state(0) { } void append(char ch) { unsigned char t = ch; count++; state = (state + t * uint64_t(count)) % dividend; sum = (sum + uint64_t(t)) % dividend; } void prepend(char ch) { unsigned char t = ch; count++; state = (state + uint64_t(sum) + t) % dividend; sum = (sum + uint64_t(t)) % dividend; } bool operator==(Hasher2w const &rhs) const { LinearHasher2w const *rhstp = dynamic_cast<LinearHasher2w const *>(&rhs); if(rhstp == nullptr) return false; return state == rhstp->state and sum == rhstp->sum; } virtual shared_ptr<Hasher2w> clone() const { return make_shared<LinearHasher2w>(*this); } }; // use multiple two-way hashers as one struct MultiHasher2w: Hasher2w { vector< shared_ptr<Hasher2w> > hashers; MultiHasher2w(vector< shared_ptr<Hasher2w> > &_hashers): hashers(_hashers) { } MultiHasher2w(MultiHasher2w const &arg) { for(auto const &ptr: arg.hashers) { hashers.push_back(ptr->clone()); } } void append(char ch) { for(size_t i = 0; i < hashers.size(); i++) hashers[i]->append(ch); } void prepend(char ch) { for(size_t i = 0; i < hashers.size(); i++) hashers[i]->prepend(ch); } bool operator==(Hasher2w const &rhs) const { MultiHasher2w const *rhstp = dynamic_cast<MultiHasher2w const *>(&rhs); if(rhstp == nullptr) return false; if(hashers.size() != rhstp->hashers.size()) return false; for(size_t i = 0; i < hashers.size(); i++) if(*(hashers[i]) != *(rhstp->hashers[i])) return false; return true; } virtual shared_ptr<Hasher2w> clone() const { return make_shared<MultiHasher2w>(*this); } }; // wrapper for ignoring all the characters besides small latin letters struct FilteredLLHasher2wWrapper: Hasher2w { shared_ptr<Hasher2w> ptr; FilteredLLHasher2wWrapper(Hasher2w &_hasher): ptr(&_hasher) { } FilteredLLHasher2wWrapper(shared_ptr<Hasher2w> const &_ptr): ptr(_ptr) { } FilteredLLHasher2wWrapper(FilteredLLHasher2wWrapper const &arg): ptr(arg.ptr->clone()) { } void append(char ch) { if(not ('a' <= ch and ch <= 'z')) return; ptr->append(ch); } void prepend(char ch) { if(not ('a' <= ch and ch <= 'z')) return; ptr->prepend(ch); } bool operator==(Hasher2w const &rhs) const { FilteredLLHasher2wWrapper const *rhstp = dynamic_cast<FilteredLLHasher2wWrapper const *>(&rhs); if(rhstp != nullptr) return *ptr == *(rhstp->ptr); return *ptr == rhs; } virtual shared_ptr<Hasher2w> clone() const { return make_shared<FilteredLLHasher2wWrapper>(*this); } }; int main() { vector< shared_ptr<Hasher2w> > hashers; shared_ptr<ByteHistogram> hist = make_shared<ByteHistogram>(); hashers.push_back(hist); hashers.push_back(make_shared<SideKeeper>(4096)); hashers.push_back(make_shared<DigitalHasher2w>(1662389207, 1200099553)); hashers.push_back(make_shared<DigitalHasher2w>(1630171901, 1214103271)); hashers.push_back(make_shared<DigitalHasher2w>(1822084421, 1338144299)); hashers.push_back(make_shared<DigitalHasher2w>(1107565939, 1030805731)); hashers.push_back(make_shared<LinearHasher2w>(1755431533)); hashers.push_back(make_shared<LinearHasher2w>(1631560141)); hashers.push_back(make_shared<LinearHasher2w>(1759200251)); hashers.push_back(make_shared<LinearHasher2w>(1941468271)); FilteredLLHasher2wWrapper fh(make_shared<MultiHasher2w>(hashers)); FilteredLLHasher2wWrapper rh(fh); for(int ch; (ch = getchar_unlocked()) != EOF;) { fh.append(ch); rh.prepend(ch); } if(hist->possiblePalindrome() and fh == rh) { puts("TAK"); } else { puts("NIE"); } return 0; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 | #include <cstdint> #include <cstdio> #include <memory> #include <vector> #include <deque> using namespace std; // two-way hasher struct Hasher2w { virtual void append(char ch) = 0; virtual void prepend(char ch) = 0; virtual bool operator==(Hasher2w const &rhs) const = 0; bool operator!=(Hasher2w const &rhs) { return not (*this == rhs); } virtual shared_ptr<Hasher2w> clone() const = 0; }; // counts occurrences struct ByteHistogram: Hasher2w { vector<size_t> counter; ByteHistogram(): counter(256, 0) { } void append(char ch) { counter[(unsigned char)(ch)]++; } void prepend(char ch) { counter[(unsigned char)(ch)]++; } bool operator==(Hasher2w const &rhs) const { ByteHistogram const *rhstp = dynamic_cast<ByteHistogram const *>(&rhs); if(rhstp == nullptr) return false; return counter == rhstp->counter; } bool possiblePalindrome() const { size_t odds = 0; for(size_t i = 0; i < 256; i++) { if(counter[i] % 2 == 1) odds++; if(odds >= 2) return false; } return true; } virtual shared_ptr<Hasher2w> clone() const { return make_shared<ByteHistogram>(*this); } }; // keeps prefix and suffix struct SideKeeper: Hasher2w { size_t const length; deque<char> prefix; deque<char> suffix; SideKeeper(size_t _length): length(_length) { } void append(char ch) { suffix.push_back(ch); if(suffix.size() > length) suffix.pop_front(); if(prefix.size() < length) prefix.push_back(ch); } void prepend(char ch) { prefix.push_front(ch); if(prefix.size() > length) prefix.pop_back(); if(suffix.size() < length) suffix.push_front(ch); } bool operator==(Hasher2w const &rhs) const { SideKeeper const *rhstp = dynamic_cast<SideKeeper const *>(&rhs); if(rhstp == nullptr) return false; return prefix == rhstp->prefix and suffix == rhstp->suffix; } virtual shared_ptr<Hasher2w> clone() const { return make_shared<SideKeeper>(*this); } }; // calculates radix-based multiple-digit number modulo dividend (you append/prepend the digits) struct DigitalHasher2w: Hasher2w { uint32_t const dividend; uint32_t const radix; unsigned int degree; uint32_t powval; uint32_t state; DigitalHasher2w(uint32_t _dividend, uint32_t _radix): dividend(_dividend), radix(_radix), degree(0), powval(1), state(0) { } void append(char ch) { state = ((unsigned char)(ch) * uint64_t(powval) + state) % dividend; powval = (powval * uint64_t(radix)) % dividend; degree++; } void prepend(char ch) { state = (state * uint64_t(radix) + (unsigned char)(ch)) % dividend; powval = (powval * uint64_t(radix)) % dividend; degree++; } bool operator==(Hasher2w const &rhs) const { DigitalHasher2w const *rhstp = dynamic_cast<DigitalHasher2w const *>(&rhs); if(rhstp == nullptr) return false; return state == rhstp->state; } virtual shared_ptr<Hasher2w> clone() const { return make_shared<DigitalHasher2w>(*this); } }; // calculates (1*a0 + 2*a1 + 3*a2 + ...) MOD dividend (you append/prepend elements of (a) sequence) // keeps the value of (a0 + a1 + ...) MOD dividend and uses it in comparisons as well struct LinearHasher2w: Hasher2w { uint32_t const dividend; uint32_t sum; uint32_t count; uint32_t state; LinearHasher2w(uint32_t _dividend): dividend(_dividend), sum(0), count(0), state(0) { } void append(char ch) { unsigned char t = ch; count++; state = (state + t * uint64_t(count)) % dividend; sum = (sum + uint64_t(t)) % dividend; } void prepend(char ch) { unsigned char t = ch; count++; state = (state + uint64_t(sum) + t) % dividend; sum = (sum + uint64_t(t)) % dividend; } bool operator==(Hasher2w const &rhs) const { LinearHasher2w const *rhstp = dynamic_cast<LinearHasher2w const *>(&rhs); if(rhstp == nullptr) return false; return state == rhstp->state and sum == rhstp->sum; } virtual shared_ptr<Hasher2w> clone() const { return make_shared<LinearHasher2w>(*this); } }; // use multiple two-way hashers as one struct MultiHasher2w: Hasher2w { vector< shared_ptr<Hasher2w> > hashers; MultiHasher2w(vector< shared_ptr<Hasher2w> > &_hashers): hashers(_hashers) { } MultiHasher2w(MultiHasher2w const &arg) { for(auto const &ptr: arg.hashers) { hashers.push_back(ptr->clone()); } } void append(char ch) { for(size_t i = 0; i < hashers.size(); i++) hashers[i]->append(ch); } void prepend(char ch) { for(size_t i = 0; i < hashers.size(); i++) hashers[i]->prepend(ch); } bool operator==(Hasher2w const &rhs) const { MultiHasher2w const *rhstp = dynamic_cast<MultiHasher2w const *>(&rhs); if(rhstp == nullptr) return false; if(hashers.size() != rhstp->hashers.size()) return false; for(size_t i = 0; i < hashers.size(); i++) if(*(hashers[i]) != *(rhstp->hashers[i])) return false; return true; } virtual shared_ptr<Hasher2w> clone() const { return make_shared<MultiHasher2w>(*this); } }; // wrapper for ignoring all the characters besides small latin letters struct FilteredLLHasher2wWrapper: Hasher2w { shared_ptr<Hasher2w> ptr; FilteredLLHasher2wWrapper(Hasher2w &_hasher): ptr(&_hasher) { } FilteredLLHasher2wWrapper(shared_ptr<Hasher2w> const &_ptr): ptr(_ptr) { } FilteredLLHasher2wWrapper(FilteredLLHasher2wWrapper const &arg): ptr(arg.ptr->clone()) { } void append(char ch) { if(not ('a' <= ch and ch <= 'z')) return; ptr->append(ch); } void prepend(char ch) { if(not ('a' <= ch and ch <= 'z')) return; ptr->prepend(ch); } bool operator==(Hasher2w const &rhs) const { FilteredLLHasher2wWrapper const *rhstp = dynamic_cast<FilteredLLHasher2wWrapper const *>(&rhs); if(rhstp != nullptr) return *ptr == *(rhstp->ptr); return *ptr == rhs; } virtual shared_ptr<Hasher2w> clone() const { return make_shared<FilteredLLHasher2wWrapper>(*this); } }; int main() { vector< shared_ptr<Hasher2w> > hashers; shared_ptr<ByteHistogram> hist = make_shared<ByteHistogram>(); hashers.push_back(hist); hashers.push_back(make_shared<SideKeeper>(4096)); hashers.push_back(make_shared<DigitalHasher2w>(1662389207, 1200099553)); hashers.push_back(make_shared<DigitalHasher2w>(1630171901, 1214103271)); hashers.push_back(make_shared<DigitalHasher2w>(1822084421, 1338144299)); hashers.push_back(make_shared<DigitalHasher2w>(1107565939, 1030805731)); hashers.push_back(make_shared<LinearHasher2w>(1755431533)); hashers.push_back(make_shared<LinearHasher2w>(1631560141)); hashers.push_back(make_shared<LinearHasher2w>(1759200251)); hashers.push_back(make_shared<LinearHasher2w>(1941468271)); FilteredLLHasher2wWrapper fh(make_shared<MultiHasher2w>(hashers)); FilteredLLHasher2wWrapper rh(fh); for(int ch; (ch = getchar_unlocked()) != EOF;) { fh.append(ch); rh.prepend(ch); } if(hist->possiblePalindrome() and fh == rh) { puts("TAK"); } else { puts("NIE"); } return 0; } |