結果

問題 No.801 エレベーター
ユーザー mai
提出日時 2019-03-17 23:03:23
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 197 ms / 2,000 ms
コード長 18,079 bytes
コンパイル時間 2,847 ms
コンパイル使用メモリ 216,012 KB
最終ジャッジ日時 2025-01-06 23:14:11
ジャッジサーバーID
(参考情報)
judge2 / judge3
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 26
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#pragma GCC optimize ("O3")
#include "bits/stdc++.h"
using namespace std;
using ll = long long int;
#define debugos cout
#define debug(v) {printf("L%d %s > ",__LINE__,#v);debugos<<(v)<<endl;}
#define debugv(v) {printf("L%d %s > ",__LINE__,#v);for(auto e:(v)){debugos<<e<<" ";}debugos<<endl;}
#define debuga(m,w) {printf("L%d %s > ",__LINE__,#m);for(int x=0;x<(w);x++){debugos<<(m)[x]<<" ";}debugos<<endl;}
#define debugaa(m,h,w) {printf("L%d %s >\n",__LINE__,#m);for(int y=0;y<(h);y++){for(int x=0;x<(w);x++){debugos<<(m)[y][x]<<" ";}debugos<<endl;}}
#define all(v) (v).begin(),(v).end()
#define repeat(cnt,l) for(auto cnt=decltype(l)();(cnt)<(l);++(cnt))
#define rrepeat(cnt,l) for(auto cnt=(l)-1;0<=(cnt);--(cnt))
#define iterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);++(cnt))
#define diterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);--(cnt))
const ll MD = 1000000007ll; const long double PI = 3.1415926535897932384626433832795L;
inline void assert_call(bool assertion, function<void()> f) { if (!assertion) { cerr << "assertion fault:" << endl; f(); abort(); } }
template<typename T1, typename T2> inline ostream& operator <<(ostream &o, const pair<T1, T2> p) { o << '(' << p.first << ':' << p.second << ')';
    return o; }
template<typename Vec> inline ostream& _ostream_vecprint(ostream& os, const Vec& a) {
os << '['; for (const auto& e : a) os << ' ' << e << ' '; os << ']'; return os; }
template<typename T> inline ostream& operator<<(ostream& o, const vector<T>& v) { return _ostream_vecprint(o, v); }
template<typename T, size_t S> inline ostream& operator<<(ostream& o, const array<T, S>& v) { return _ostream_vecprint(o, v); }
template<typename T> inline T& chmax(T& to, const T& val) { return to = max(to, val); }
template<typename T> inline T& chmin(T& to, const T& val) { return to = min(to, val); }
void bye(string s, int code = 0) { cout << s << endl; exit(code); }
mt19937_64 randdev(8901016);
template<typename T, typename Random = decltype(randdev), typename enable_if<is_integral<T>::value>::type* = nullptr>
inline T rand(T l, T h, Random& rand = randdev) { return uniform_int_distribution<T>(l, h)(rand); }
template<typename T, typename Random = decltype(randdev), typename enable_if<is_floating_point<T>::value>::type* = nullptr>
inline T rand(T l, T h, Random& rand = randdev) { return uniform_real_distribution<T>(l, h)(rand); }
#if defined(_WIN32) || defined(_WIN64)
#define getc_x _getc_nolock
#define putc_x _putc_nolock
#elif defined(__GNUC__)
#define getc_x getc_unlocked
#define putc_x putc_unlocked
#else
#define getc_x getc
#define putc_x putc
#endif
#define isvisiblechar(c) (0x21<=(c)&&(c)<=0x7E)
class MaiScanner {
FILE* fp_;
public:
inline MaiScanner(FILE* fp):fp_(fp){}
template<typename T> void input_integer(T& var) noexcept {
var = 0; T sign = 1;
int cc = getc_x(fp_);
for (; cc < '0' || '9' < cc; cc = getc_x(fp_))
if (cc == '-') sign = -1;
for (; '0' <= cc && cc <= '9'; cc = getc_x(fp_))
var = (var << 3) + (var << 1) + cc - '0';
var = var * sign;
}
inline int c() noexcept { return getc_x(fp_); }
inline MaiScanner& operator>>(int& var) noexcept { input_integer<int>(var); return *this; }
inline MaiScanner& operator>>(long long& var) noexcept { input_integer<long long>(var); return *this; }
inline MaiScanner& operator>>(string& var) {
int cc = getc_x(fp_);
for (; !isvisiblechar(cc); cc = getc_x(fp_));
for (; isvisiblechar(cc); cc = getc_x(fp_))
var.push_back(cc);
return *this;
}
template<typename IT> inline void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; }
};
class MaiPrinter {
FILE* fp_;
public:
inline MaiPrinter(FILE* fp):fp_(fp){}
template<typename T>
void output_integer(T var) noexcept {
if (var == 0) { putc_x('0', fp_); return; }
if (var < 0)
putc_x('-', fp_),
var = -var;
char stack[32]; int stack_p = 0;
while (var)
stack[stack_p++] = '0' + (var % 10),
var /= 10;
while (stack_p)
putc_x(stack[--stack_p], fp_);
}
inline MaiPrinter& operator<<(char c) noexcept { putc_x(c, fp_); return *this; }
inline MaiPrinter& operator<<(int var) noexcept { output_integer<int>(var); return *this; }
inline MaiPrinter& operator<<(long long var) noexcept { output_integer<long long>(var); return *this; }
inline MaiPrinter& operator<<(char* str_p) noexcept { while (*str_p) putc_x(*(str_p++), fp_); return *this; }
inline MaiPrinter& operator<<(const string& str) {
const char* p = str.c_str();
const char* l = p + str.size();
while (p < l) putc_x(*p++, fp_);
return *this;
}
template<typename IT> void join(IT begin, IT end, char sep = ' ') { for (bool b = 0; begin != end; ++begin, b = 1) b ? *this << sep << *begin :
        *this << *begin; }
};
MaiScanner scanner(stdin);
MaiPrinter printer(stdout);
template<typename T>
//using T = ll;
class SegmentTree {
public:
struct IdxVal {
int index;
T value;
inline IdxVal(int _i = 0, const T& _v = T()) :index(_i), value(_v) { }
inline void set(int i, const T& v) { index = i; value = v; }
inline bool operator<(const T& t) const { return value < t; }
inline bool operator==(const T& t) const { return value == t; }
inline bool operator<(const IdxVal& iv) const { return value < iv.value || (value == iv.value && index < iv.index); }
inline bool operator==(const IdxVal& iv) const { return index == iv.index && value == iv.value; }
};
enum struct Cmd{
None, Add, Flat
};
struct Node {
T sum, lazyValue;
IdxVal max;
Cmd lazyType;
};
private:
const int size_;
vector<T> leaf_data_;
vector<Node> node_data_;
T* leaf_;
Node* node_;
void _resize() {
leaf_data_.resize(size_);
node_data_.resize(size_ - 1);
leaf_ = &leaf_data_[0];
node_ = &node_data_[0] - 1;
}
void _init() {
for (int i = size_ - 1; 0 < i; --i) {
int c = i << 1;
if (size_ <= c)
node_[i].max.set(c - size_, leaf_[c - size_]);
else
node_[i].max = node_[c].max;
node_[i].lazyType = Cmd::None;
node_[i].sum = node_[i].lazyValue = 0;
}
}
public:
inline void fill(T val) {
std::fill(leaf_data_.begin(), leaf_data_.end(), val);
_init();
}
SegmentTree(int _n) :
size_([](int _n) {int s = 8; while (s < _n) s <<= 1; return s; }(_n))
{
_resize();
_init();
}
SegmentTree(int _n, const T& _fillVal) :
size_([](int _n) {int s = 8; while (s < _n) s <<= 1; return s; }(_n))
{
_resize();
fill(_fillVal);
}
private:
// lazy()
// width: ptrnode(ptr = 1 size_)
inline void _applyDown(int ptr, int width) {
width >>= 1;
//if (size_ <= ptr) return;
if (node_[ptr].lazyType == Cmd::Add) {
int c = ptr << 1;
if (size_ <= c) {
leaf_[c - size_] += node_[ptr].lazyValue;
leaf_[c + 1 - size_] += node_[ptr].lazyValue;
}
else {
node_[c].sum += node_[ptr].lazyValue * width;
node_[c].max.value += node_[ptr].lazyValue;
node_[c].lazyValue += node_[ptr].lazyValue;
if (node_[c].lazyType == Cmd::None)
node_[c].lazyType = Cmd::Add;
node_[c + 1].sum += node_[ptr].lazyValue * width;
node_[c + 1].max.value += node_[ptr].lazyValue;
node_[c + 1].lazyValue += node_[ptr].lazyValue;
if (node_[c + 1].lazyType == Cmd::None)
node_[c + 1].lazyType = Cmd::Add;
}
node_[ptr].lazyType = Cmd::None;
node_[ptr].lazyValue = 0;
}
else if (node_[ptr].lazyType == Cmd::Flat) {
node_[ptr].lazyType = Cmd::None;
int c = ptr << 1;
if (size_ <= c) {
leaf_[c - size_] = node_[ptr].lazyValue;
leaf_[c + 1 - size_] = node_[ptr].lazyValue;
}
else {
node_[c].sum = node_[ptr].lazyValue * width;
node_[c].max.value = node_[ptr].lazyValue;
node_[c].lazyValue += node_[ptr].lazyValue;
node_[c].lazyType = Cmd::Flat;
node_[c + 1].sum = node_[ptr].lazyValue * width;
node_[c + 1].max.value = node_[ptr].lazyValue;
node_[c + 1].lazyValue += node_[ptr].lazyValue;
node_[c + 1].lazyType = Cmd::Flat;
}
node_[ptr].lazyType = Cmd::None;
node_[ptr].lazyValue = 0;
}
}
// lazy()
inline void _applyUp(int ptr) {
if (size_ <= ptr << 1) {
int i = (ptr << 1) - size_;
if (leaf_[i] < leaf_[i + 1])
node_[ptr].max.set(i + 1, leaf_[i + 1]);
else
node_[ptr].max.set(i, leaf_[i]);
node_[ptr].sum = leaf_[i] + leaf_[i + 1];
}
else {
if (node_[(ptr << 1)].max.value < node_[(ptr << 1) + 1].max.value)
node_[ptr].max = node_[(ptr << 1) + 1].max;
else
node_[ptr].max = node_[(ptr << 1)].max;
node_[ptr].sum = node_[ptr << 1].sum + node_[(ptr << 1) + 1].sum;
}
}
// _downward_applyDown(ptr1): leaf[ptr1]
void _downward_applyDown(int ptr1, int width = 1) {
if (1 < ptr1) _downward_applyDown(ptr1 >> 1, width << 1);
_applyDown(ptr1, width);
}
void _setValueRange(int begin, int end, T val, int ptr, int rangebegin, int rangeend) {
if (rangeend <= begin || end <= rangebegin) return; // note:
if (begin <= rangebegin && rangeend <= end) {
if (size_ <= ptr) {
leaf_[rangebegin] = val;
}
else {
node_[ptr].sum = val * (rangeend - rangebegin);
node_[ptr].max.value = val;
node_[ptr].lazyType = Cmd::Flat;
node_[ptr].lazyValue = val;
}
return;
}
_applyDown(ptr, rangeend - rangebegin);
_setValueRange(begin, end, val, ptr << 1, rangebegin, (rangebegin + rangeend) >> 1);
_setValueRange(begin, end, val, (ptr << 1) + 1, (rangebegin + rangeend) >> 1, rangeend);
_applyUp(ptr);
}
void _addValueRange(int begin, int end, T val, int ptr, int rangebegin, int rangeend) {
if (rangeend <= begin || end <= rangebegin) return; // note:
if (begin <= rangebegin && rangeend <= end) {
if (size_ <= ptr) {
leaf_[rangebegin] += val;
}
else {
node_[ptr].sum += val * (rangeend - rangebegin);
node_[ptr].max.value += val;
node_[ptr].lazyValue += val;
if (node_[ptr].lazyType == Cmd::None)
node_[ptr].lazyType = Cmd::Add;
}
return;
}
_applyDown(ptr, rangeend - rangebegin);
_addValueRange(begin, end, val, ptr << 1, rangebegin, (rangebegin + rangeend) >> 1);
_addValueRange(begin, end, val, (ptr << 1) + 1, (rangebegin + rangeend) >> 1, rangeend);
_applyUp(ptr);
}
T _getSumRange(int begin, int end, int ptr, int rangebegin, int rangeend) {
if (rangeend <= begin || end <= rangebegin) return 0; // note:
if (begin <= rangebegin && rangeend <= end) {
if (size_ <= ptr)
return leaf_[rangebegin];
else
return node_[ptr].sum;
}
_applyDown(ptr, rangeend - rangebegin);
return _getSumRange(begin, end, ptr << 1, rangebegin, (rangebegin + rangeend) >> 1)
+ _getSumRange(begin, end, (ptr << 1) + 1, (rangebegin + rangeend) >> 1, rangeend);
}
IdxVal _getMaxRange(int begin, int end, int ptr, int rangebegin, int rangeend) {
if (rangeend <= begin || end <= rangebegin) return IdxVal(-1); // note:
if (begin <= rangebegin && rangeend <= end) {
if (size_ <= ptr)
return IdxVal(rangebegin, leaf_[rangebegin]);
else
return node_[ptr].max;
}
_applyDown(ptr, rangeend - rangebegin);
auto l = _getMaxRange(begin, end, ptr << 1, rangebegin, (rangebegin + rangeend) >> 1);
auto r = _getMaxRange(begin, end, (ptr << 1) + 1, (rangebegin + rangeend) >> 1, rangeend);
if (l.index == -1) return move(r);
if (r.index == -1) return move(l);
return l.value < r.value ? move(r) : move(l);
}
public:
// [index]
inline T getValue(int index) {
_downward_applyDown((index + size_) >> 1);
return leaf_[index];
}
// [index]
inline void setValue(int index, T val) {
_downward_applyDown((index + size_) >> 1);
T diff = val - leaf_[index];
leaf_[index] = val;
for (int ptr = (index + size_); 1 < ptr;) {
ptr >>= 1;
node_[ptr].sum -= diff;
_applyUp(ptr);
}
}
// [index]
inline void addValue(int index, T val) {
_downward_applyDown((index + size_) >> 1);
leaf_[index] += val;
for (int ptr = (index + size_); 1 < ptr;) {
ptr >>= 1;
node_[ptr].sum += val;
_applyUp(ptr);
}
}
// [begin,end)val
inline void setValueRange(int begin, int end, T val) {
_setValueRange(begin, end, val, 1, 0, size_);
}
// [begin,end)val
inline void addValueRange(int begin, int end, T val) {
_addValueRange(begin, end, val, 1, 0, size_);
}
// [begin,end)
inline T getSumRange(int begin, int end) {
return _getSumRange(begin, end, 1, 0, size_);
}
// [begin,end)
inline IdxVal getMaxRange(int begin, int end) {
return _getMaxRange(begin, end, 1, 0, size_);
}
};
class llmod {
private:
using value_type = long long;
value_type val_;
// inline ll cut(ll v) const { return ((v%MOD) + MOD) % MOD; } // safe
public:
static const value_type MOD = MD; // <=
llmod() : val_(0) {}
llmod(value_type num) :val_(((num % MOD) + MOD) % MOD) {}
inline operator value_type() const { return val_; }
inline value_type operator *() const { return val_; }
inline llmod& operator=(const llmod& lm) { val_ = lm.val_; return *this; }
inline llmod& operator=(value_type v) { val_ = (v) % MOD; return *this; }
inline llmod& operator+=(value_type v) { val_ = (val_ + v) % MOD; return *this; }
inline llmod& operator+=(const llmod& l) { val_ = (val_ + l.val_) % MOD; return *this; }
inline llmod& operator-=(value_type v) { val_ = (val_ - v + MOD) % MOD; return *this; }
inline llmod& operator-=(const llmod& l) { val_ = (val_ - l.val_ + MOD) % MOD; return *this; }
inline llmod& operator*=(value_type v) { val_ = (val_ * v) % MOD; return *this; }
inline llmod& operator*=(const llmod& l) { val_ = (val_ * l.val_) % MOD; return *this; }
inline llmod& operator++() { val_ = (val_ + 1) % MOD; return *this; }
inline llmod operator++(int) { llmod t = *this; val_ = (val_ + 1) % MOD; return t; }
inline llmod& justify() { val_ = ((val_ % MOD) + MOD) % MOD; return *this; }
friend llmod pow(llmod, long long);
};
inline ostream& operator<<(ostream& os, const llmod& l) { os << *l; return os; }
template<typename T>
inline llmod operator+(llmod t, const T& r) { return t += r; }
template<typename T>
inline llmod operator-(llmod t, const T& r) { return t -= r; }
template<typename T>
inline llmod operator*(llmod t, const T& r) { return t *= r; }
// MEMO : ...pow(n,MD-2)
llmod pow(llmod x, long long p) {
llmod::value_type y = 1;
llmod::value_type xval = x.justify();
while (0 < p) {
if (p & 1) y = (xval * y) % llmod::MOD;
xval = (xval * xval) % llmod::MOD;
p >>= 1;
}
return llmod(y);
}
inline llmod& operator/=(llmod& l, const llmod& r) { return l *= pow(r, llmod::MOD - 2); }
//
int N, M, K;
array<int, 2> LR[3003];
//
int main(){
scanner >> N >> M >> K;
// SegmentTree<llmod> tree0(N), tree1(N);
// SegmentTree<llmod> *tree[2];
repeat(i, M) {
int l,r;
scanner >> l >> r;
LR[i][0] = l - 1;
LR[i][1] = r;
}
vector<llmod> sum1(N+2), sum2(N+2), sum(N+2);
sum1[0] = 1;
repeat(k, K) {
//debugv(sum1);
fill(all(sum), 0);
fill(all(sum2), 0);
repeat(i, N+1) {
sum[i+1] += sum[i] + sum1[i];
}
//debugv(sum);
repeat(i, M) {
auto t = sum[LR[i][1]] - sum[LR[i][0]];
sum2[LR[i][0]] += t;
sum2[LR[i][1]] -= t;
}
sum1.swap(sum2);
repeat(i, N+1) {
sum1[i+1] += sum1[i];
}
}
//debugv(sum1);
cout << sum1[N-1] << endl;
// tree[0] = &tree0;
// tree[1] = &tree1;
// tree0.setValue(0, 1);
//
// int p0, p1;
// repeat(k, K) {
// p0 = k&1;
// p1 = ~k&1;
// tree[p1]->setValueRange(0, N, 0);
// repeat(i, M) {
// auto t = tree[p0]->getSumRange(LR[i][0], LR[i][1]);
// tree[p1]->addValueRange(LR[i][0], LR[i][1], t);
// }
// }
//
// cout << tree[p1]->getValue(N-1) << endl;
return 0;
}
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