結果
問題 | No.2332 Make a Sequence |
ユーザー | noimi |
提出日時 | 2023-05-28 15:18:53 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 192 ms / 2,000 ms |
コード長 | 42,416 bytes |
コンパイル時間 | 5,132 ms |
コンパイル使用メモリ | 299,356 KB |
実行使用メモリ | 31,804 KB |
最終ジャッジ日時 | 2024-06-08 07:30:36 |
合計ジャッジ時間 | 17,993 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge2 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 2 ms
5,248 KB |
testcase_01 | AC | 3 ms
5,248 KB |
testcase_02 | AC | 1 ms
5,248 KB |
testcase_03 | AC | 1 ms
5,376 KB |
testcase_04 | AC | 1 ms
5,376 KB |
testcase_05 | AC | 2 ms
5,376 KB |
testcase_06 | AC | 2 ms
5,376 KB |
testcase_07 | AC | 115 ms
23,888 KB |
testcase_08 | AC | 22 ms
6,144 KB |
testcase_09 | AC | 89 ms
17,216 KB |
testcase_10 | AC | 101 ms
22,852 KB |
testcase_11 | AC | 76 ms
15,356 KB |
testcase_12 | AC | 135 ms
26,684 KB |
testcase_13 | AC | 152 ms
26,684 KB |
testcase_14 | AC | 135 ms
26,680 KB |
testcase_15 | AC | 132 ms
26,684 KB |
testcase_16 | AC | 132 ms
26,812 KB |
testcase_17 | AC | 132 ms
26,816 KB |
testcase_18 | AC | 132 ms
26,684 KB |
testcase_19 | AC | 134 ms
26,684 KB |
testcase_20 | AC | 132 ms
26,684 KB |
testcase_21 | AC | 133 ms
26,812 KB |
testcase_22 | AC | 133 ms
26,816 KB |
testcase_23 | AC | 133 ms
26,684 KB |
testcase_24 | AC | 135 ms
26,812 KB |
testcase_25 | AC | 135 ms
26,812 KB |
testcase_26 | AC | 136 ms
26,684 KB |
testcase_27 | AC | 133 ms
26,556 KB |
testcase_28 | AC | 149 ms
26,684 KB |
testcase_29 | AC | 147 ms
26,608 KB |
testcase_30 | AC | 139 ms
26,552 KB |
testcase_31 | AC | 135 ms
26,684 KB |
testcase_32 | AC | 146 ms
27,072 KB |
testcase_33 | AC | 145 ms
27,196 KB |
testcase_34 | AC | 146 ms
27,068 KB |
testcase_35 | AC | 140 ms
27,200 KB |
testcase_36 | AC | 137 ms
27,068 KB |
testcase_37 | AC | 137 ms
27,452 KB |
testcase_38 | AC | 137 ms
27,448 KB |
testcase_39 | AC | 137 ms
27,964 KB |
testcase_40 | AC | 136 ms
27,456 KB |
testcase_41 | AC | 137 ms
27,196 KB |
testcase_42 | AC | 146 ms
29,756 KB |
testcase_43 | AC | 143 ms
29,884 KB |
testcase_44 | AC | 143 ms
30,012 KB |
testcase_45 | AC | 146 ms
30,524 KB |
testcase_46 | AC | 143 ms
30,140 KB |
testcase_47 | AC | 177 ms
31,672 KB |
testcase_48 | AC | 178 ms
31,804 KB |
testcase_49 | AC | 176 ms
31,804 KB |
testcase_50 | AC | 182 ms
31,680 KB |
testcase_51 | AC | 192 ms
31,740 KB |
testcase_52 | AC | 151 ms
26,936 KB |
testcase_53 | AC | 149 ms
26,680 KB |
testcase_54 | AC | 133 ms
26,684 KB |
testcase_55 | AC | 135 ms
26,812 KB |
testcase_56 | AC | 136 ms
26,812 KB |
testcase_57 | AC | 133 ms
26,520 KB |
testcase_58 | AC | 133 ms
26,560 KB |
testcase_59 | AC | 136 ms
26,680 KB |
testcase_60 | AC | 133 ms
26,812 KB |
testcase_61 | AC | 133 ms
26,556 KB |
testcase_62 | AC | 158 ms
30,780 KB |
ソースコード
#pragma region Macros #ifdef noimi #include "my_template.hpp" #else #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include <immintrin.h> #include <algorithm> #include <array> #include <bitset> #include <cassert> #include <cctype> #include <cfenv> #include <cfloat> #include <chrono> #include <cinttypes> #include <climits> #include <cmath> #include <complex> #include <cstdarg> #include <cstddef> #include <cstdint> #include <cstdio> #include <cstdlib> #include <cstring> #include <deque> #include <fstream> #include <functional> #include <immintrin.h> #include <initializer_list> #include <iomanip> #include <ios> #include <iostream> #include <istream> #include <iterator> #include <limits> #include <list> #include <map> #include <memory> #include <new> #include <numeric> #include <ostream> #include <queue> #include <random> #include <set> #include <sstream> #include <stack> #include <streambuf> #include <string> #include <tuple> #include <type_traits> #include <variant> #ifdef noimi #define oj_local(a, b) b #else #define oj_local(a, b) a #endif #define LOCAL if(oj_local(0, 1)) #define OJ if(oj_local(1, 0)) using namespace std; using ll = long long; using ull = unsigned long long int; using i128 = __int128_t; using pii = pair<int, int>; using pll = pair<ll, ll>; using ld = long double; template <typename T> using vc = vector<T>; template <typename T> using vvc = vector<vc<T>>; template <typename T> using vvvc = vector<vvc<T>>; using vi = vc<int>; using vl = vc<ll>; using vpi = vc<pii>; using vpl = vc<pll>; template <class T> using pq = priority_queue<T>; template <class T> using pqg = priority_queue<T, vector<T>, greater<T>>; template <typename T> int si(const T &x) { return x.size(); } template <class T, class S> inline bool chmax(T &a, const S &b) { return (a < b ? a = b, 1 : 0); } template <class T, class S> inline bool chmin(T &a, const S &b) { return (a > b ? a = b, 1 : 0); } vi iota(int n) { vi a(n); return iota(a.begin(), a.end(), 0), a; } template <typename T> vi iota(const vector<T> &a, bool greater = false) { vi res(a.size()); iota(res.begin(), res.end(), 0); sort(res.begin(), res.end(), [&](int i, int j) { if(greater) return a[i] > a[j]; return a[i] < a[j]; }); return res; } // macros #define overload5(a, b, c, d, e, name, ...) name #define overload4(a, b, c, d, name, ...) name #define endl '\n' #define REP0(n) for(ll jidlsjf = 0; jidlsjf < n; ++jidlsjf) #define REP1(i, n) for(ll i = 0; i < (n); ++i) #define REP2(i, a, b) for(ll i = (a); i < (b); ++i) #define REP3(i, a, b, c) for(ll i = (a); i < (b); i += (c)) #define rep(...) overload4(__VA_ARGS__, REP3, REP2, REP1, REP0)(__VA_ARGS__) #define per0(n) for(int jidlsjf = 0; jidlsjf < (n); ++jidlsjf) #define per1(i, n) for(ll i = (n)-1; i >= 0; --i) #define per2(i, a, b) for(ll i = (a)-1; i >= b; --i) #define per3(i, a, b, c) for(ll i = (a)-1; i >= (b); i -= (c)) #define per(...) overload4(__VA_ARGS__, per3, per2, per1, per0)(__VA_ARGS__) #define fore0(a) rep(a.size()) #define fore1(i, a) for(auto &&i : a) #define fore2(a, b, v) for(auto &&[a, b] : v) #define fore3(a, b, c, v) for(auto &&[a, b, c] : v) #define fore4(a, b, c, d, v) for(auto &&[a, b, c, d] : v) #define fore(...) overload5(__VA_ARGS__, fore4, fore3, fore2, fore1, fore0)(__VA_ARGS__) #define setbits(j, n) for(ll iiiii = (n), j = lowbit(iiiii); iiiii; iiiii ^= 1 << j, j = lowbit(iiiii)) #define perm(v) for(bool permrepflag = true; (permrepflag ? exchange(permrepflag, false) : next_permutation(all(v)));) #define fi first #define se second #define pb push_back #define ppb pop_back #define ppf pop_front #define eb emplace_back #define drop(s) cout << #s << endl, exit(0) #define si(c) (int)(c).size() #define lb(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define lbg(c, x) distance((c).begin(), lower_bound(all(c), (x), greater{})) #define ub(c, x) distance((c).begin(), upper_bound(all(c), (x))) #define ubg(c, x) distance((c).begin(), upper_bound(all(c), (x), greater{})) #define rng(v, l, r) v.begin() + (l), v.begin() + (r) #define all(c) begin(c), end(c) #define rall(c) rbegin(c), rend(c) #define SORT(v) sort(all(v)) #define REV(v) reverse(all(v)) #define UNIQUE(x) SORT(x), x.erase(unique(all(x)), x.end()) template <typename T = ll, typename S> T SUM(const S &v) { return accumulate(all(v), T(0)); } #define MIN(v) *min_element(all(v)) #define MAX(v) *max_element(all(v)) #define overload2(_1, _2, name, ...) name #define vec(type, name, ...) vector<type> name(__VA_ARGS__) #define vv(type, name, h, ...) vector<vector<type>> name(h, vector<type>(__VA_ARGS__)) #define vvv(type, name, h, w, ...) vector<vector<vector<type>>> name(h, vector<vector<type>>(w, vector<type>(__VA_ARGS__))) #define vvvv(type, name, a, b, c, ...) \ vector<vector<vector<vector<type>>>> name(a, vector<vector<vector<type>>>(b, vector<vector<type>>(c, vector<type>(__VA_ARGS__)))) constexpr pii dx4[4] = {pii{1, 0}, pii{0, 1}, pii{-1, 0}, pii{0, -1}}; constexpr pii dx8[8] = {{1, 0}, {1, 1}, {0, 1}, {-1, 1}, {-1, 0}, {-1, -1}, {0, -1}, {1, -1}}; namespace yesno_impl { const string YESNO[2] = {"NO", "YES"}; const string YesNo[2] = {"No", "Yes"}; const string yesno[2] = {"no", "yes"}; const string firstsecond[2] = {"second", "first"}; const string FirstSecond[2] = {"Second", "First"}; const string possiblestr[2] = {"impossible", "possible"}; const string Possiblestr[2] = {"Impossible", "Possible"}; void YES(bool t = 1) { cout << YESNO[t] << endl; } void NO(bool t = 1) { YES(!t); } void Yes(bool t = 1) { cout << YesNo[t] << endl; } void No(bool t = 1) { Yes(!t); } void yes(bool t = 1) { cout << yesno[t] << endl; } void no(bool t = 1) { yes(!t); } void first(bool t = 1) { cout << firstsecond[t] << endl; } void First(bool t = 1) { cout << FirstSecond[t] << endl; } void possible(bool t = 1) { cout << possiblestr[t] << endl; } void Possible(bool t = 1) { cout << Possiblestr[t] << endl; } }; // namespace yesno_impl using namespace yesno_impl; #define INT(...) \ int __VA_ARGS__; \ IN(__VA_ARGS__) #define INTd(...) \ int __VA_ARGS__; \ IN2(__VA_ARGS__) #define LL(...) \ ll __VA_ARGS__; \ IN(__VA_ARGS__) #define LLd(...) \ ll __VA_ARGS__; \ IN2(__VA_ARGS__) #define STR(...) \ string __VA_ARGS__; \ IN(__VA_ARGS__) #define CHR(...) \ char __VA_ARGS__; \ IN(__VA_ARGS__) #define DBL(...) \ double __VA_ARGS__; \ IN(__VA_ARGS__) #define VEC(type, name, size) \ vector<type> name(size); \ IN(name) #define VECd(type, name, size) \ vector<type> name(size); \ IN2(name) #define VEC2(type, name1, name2, size) \ vector<type> name1(size), name2(size); \ for(int i = 0; i < size; i++) IN(name1[i], name2[i]) #define VEC2d(type, name1, name2, size) \ vector<type> name1(size), name2(size); \ for(int i = 0; i < size; i++) IN2(name1[i], name2[i]) #define VEC3(type, name1, name2, name3, size) \ vector<type> name1(size), name2(size), name3(size); \ for(int i = 0; i < size; i++) IN(name1[i], name2[i], name3[i]) #define VEC3d(type, name1, name2, name3, size) \ vector<type> name1(size), name2(size), name3(size); \ for(int i = 0; i < size; i++) IN2(name1[i], name2[i], name3[i]) #define VEC4(type, name1, name2, name3, name4, size) \ vector<type> name1(size), name2(size), name3(size), name4(size); \ for(int i = 0; i < size; i++) IN(name1[i], name2[i], name3[i], name4[i]); #define VEC4d(type, name1, name2, name3, name4, size) \ vector<type> name1(size), name2(size), name3(size), name4(size); \ for(int i = 0; i < size; i++) IN2(name1[i], name2[i], name3[i], name4[i]); #define VV(type, name, h, w) \ vector<vector<type>> name(h, vector<type>(w)); \ IN(name) #define VVd(type, name, h, w) \ vector<vector<type>> name(h, vector<type>(w)); \ IN2(name) int scan() { return getchar(); } void scan(int &a) { cin >> a; } void scan(long long &a) { cin >> a; } void scan(char &a) { cin >> a; } void scan(double &a) { cin >> a; } void scan(string &a) { cin >> a; } template <class T, class S> void scan(pair<T, S> &p) { scan(p.first), scan(p.second); } template <class T> void scan(vector<T> &); template <class T> void scan(vector<T> &a) { for(auto &i : a) scan(i); } template <class T> void scan(T &a) { cin >> a; } void IN() {} void IN2() {} template <class Head, class... Tail> void IN(Head &head, Tail &...tail) { scan(head); IN(tail...); } template <class Head, class... Tail> void IN2(Head &head, Tail &...tail) { scan(head); --head; IN2(tail...); } template <int p = -1> void pat() {} template <int p = -1, class Head, class... Tail> void pat(Head &h, Tail &...tail) { h += p; pat<p>(tail...); } template <typename T, typename S> T ceil(T x, S y) { assert(y); return (y < 0 ? ceil(-x, -y) : (x > 0 ? (x + y - 1) / y : x / y)); } template <typename T, typename S> T floor(T x, S y) { assert(y); return (y < 0 ? floor(-x, -y) : (x > 0 ? x / y : x / y - (x % y == 0 ? 0 : 1))); } template <typename T, typename S, typename U> U bigmul(const T &x, const S &y, const U &lim) { // clamp(x * y, -lim, lim) if(x < 0 and y < 0) return bigmul(-x, -y, lim); if(x < 0) return -bigmul(-x, y, lim); if(y < 0) return -bigmul(x, -y, lim); return y == 0 or x <= lim / y ? x * y : lim; } template <class T> T POW(T x, int n) { T res = 1; for(; n; n >>= 1, x *= x) if(n & 1) res *= x; return res; } template <class T, class S> T POW(T x, S n, const ll &mod) { T res = 1; x %= mod; for(; n; n >>= 1, x = x * x % mod) if(n & 1) res = res * x % mod; return res; } vector<pll> factor(ll x) { vector<pll> ans; for(ll i = 2; i * i <= x; i++) if(x % i == 0) { ans.push_back({i, 1}); while((x /= i) % i == 0) ans.back().second++; } if(x != 1) ans.push_back({x, 1}); return ans; } template <class T> vector<T> divisor(T x) { vector<T> ans; for(T i = 1; i * i <= x; i++) if(x % i == 0) { ans.pb(i); if(i * i != x) ans.pb(x / i); } return ans; } template <typename T> void zip(vector<T> &x) { vector<T> y = x; UNIQUE(y); for(int i = 0; i < x.size(); ++i) { x[i] = lb(y, x[i]); } } template <class S> void fold_in(vector<S> &v) {} template <typename Head, typename... Tail, class S> void fold_in(vector<S> &v, Head &&a, Tail &&...tail) { for(auto e : a) v.emplace_back(e); fold_in(v, tail...); } template <class S> void renumber(vector<S> &v) {} template <typename Head, typename... Tail, class S> void renumber(vector<S> &v, Head &&a, Tail &&...tail) { for(auto &&e : a) e = lb(v, e); renumber(v, tail...); } template <class S, class... Args> vector<S> zip(vector<S> &head, Args &&...args) { vector<S> v; fold_in(v, head, args...); sort(all(v)), v.erase(unique(all(v)), v.end()); renumber(v, head, args...); return v; } template <typename S> void rearrange(const vector<S> &id) {} template <typename S, typename T> void rearrange_exec(const vector<S> &id, vector<T> &v) { vector<T> w(v.size()); rep(i, si(id)) w[i] = v[id[i]]; v.swap(w); } // 並び替える順番, 並び替える vector 達 template <typename S, typename Head, typename... Tail> void rearrange(const vector<S> &id, Head &a, Tail &...tail) { rearrange_exec(id, a); rearrange(id, tail...); } template <typename T> vector<T> RUI(const vector<T> &v) { vector<T> res(v.size() + 1); for(int i = 0; i < v.size(); i++) res[i + 1] = res[i] + v[i]; return res; } template <typename T> void zeta_supersetsum(vector<T> &f) { int n = f.size(); for(int i = 1; i < n; i <<= 1) rep(b, n) if(!(i & b)) f[b] += f[b | i]; } template <typename T> void zeta_subsetsum(vector<T> &f) { int n = f.size(); for(int i = 1; i < n; i <<= 1) rep(b, n) if(!(i & b)) f[b | i] += f[b]; } template <typename T> void mobius_subset(vector<T> &f) { int n = f.size(); for(int i = 1; i < n; i <<= 1) rep(b, n) if(!(i & b)) f[b] -= f[b | i]; } template <typename T> void mobius_superset(vector<T> &f) { int n = f.size(); for(int i = 1; i < n; i <<= 1) rep(b, n) if(!(i & b)) f[b | i] -= f[b]; } // 反時計周りに 90 度回転 template <typename T> void rot(vector<vector<T>> &v) { if(empty(v)) return; int n = v.size(), m = v[0].size(); vector<vector<T>> res(m, vector<T>(n)); rep(i, n) rep(j, m) res[m - 1 - j][i] = v[i][j]; v.swap(res); } vector<int> counter(const vector<int> &v, int max_num = -1) { if(max_num == -1) max_num = MAX(v); vector<int> res(max_num + 1); fore(e, v) res[e]++; return res; } // x in [l, r) template <class T, class S> bool inc(const T &x, const S &l, const S &r) { return l <= x and x < r; } template <class T, class S> bool inc(const T &x, const pair<S, S> &p) { return p.first <= x and x < p.second; } // 便利関数 constexpr ll ten(int n) { return n == 0 ? 1 : ten(n - 1) * 10; } constexpr ll tri(ll n) { return n * (n + 1) / 2; } // l + ... + r constexpr ll tri(ll l, ll r) { return (l + r) * (r - l + 1) / 2; } ll max(int x, ll y) { return max((ll)x, y); } ll max(ll x, int y) { return max(x, (ll)y); } int min(int x, ll y) { return min((ll)x, y); } int min(ll x, int y) { return min(x, (ll)y); } // bit 演算系 #define bit(i) (1LL << i) // (1 << i) #define test(b, i) (b >> i & 1) // b の i bit 目が立っているか ll pow2(int i) { return 1LL << i; } int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); } int topbit(ll t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); } int lowbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); } int lowbit(ll a) { return a == 0 ? 64 : __builtin_ctzll(a); } // int allbit(int n) { return (1 << n) - 1; } constexpr ll mask(int n) { return (1LL << n) - 1; } // int popcount(signed t) { return __builtin_popcount(t); } // int popcount(ll t) { return __builtin_popcountll(t); } int popcount(uint64_t t) { return __builtin_popcountll(t); } static inline uint64_t popcount64(uint64_t x) { uint64_t m1 = 0x5555555555555555ll; uint64_t m2 = 0x3333333333333333ll; uint64_t m4 = 0x0F0F0F0F0F0F0F0Fll; uint64_t h01 = 0x0101010101010101ll; x -= (x >> 1) & m1; x = (x & m2) + ((x >> 2) & m2); x = (x + (x >> 4)) & m4; return (x * h01) >> 56; } bool ispow2(int i) { return i && (i & -i) == i; } ll rnd(ll l, ll r) { //[l, r) #ifdef noimi static mt19937_64 gen; #else static mt19937_64 gen(chrono::steady_clock::now().time_since_epoch().count()); #endif return uniform_int_distribution<ll>(l, r - 1)(gen); } ll rnd(ll n) { return rnd(0, n); } template <class t> void random_shuffle(vc<t> &a) { rep(i, si(a)) swap(a[i], a[rnd(0, i + 1)]); } int in() { int x; cin >> x; return x; } ll lin() { unsigned long long x; cin >> x; return x; } template <class T, class S> pair<T, S> operator-(const pair<T, S> &x) { return pair<T, S>(-x.first, -x.second); } template <class T, class S> pair<T, S> operator-(const pair<T, S> &x, const pair<T, S> &y) { return pair<T, S>(x.fi - y.fi, x.se - y.se); } template <class T, class S> pair<T, S> operator+(const pair<T, S> &x, const pair<T, S> &y) { return pair<T, S>(x.fi + y.fi, x.se + y.se); } template <class T> pair<T, T> operator&(const pair<T, T> &l, const pair<T, T> &r) { return pair<T, T>(max(l.fi, r.fi), min(l.se, r.se)); } template <class T, class S> pair<T, S> operator+=(pair<T, S> &l, const pair<T, S> &r) { return l = l + r; } template <class T, class S> pair<T, S> operator-=(pair<T, S> &l, const pair<T, S> &r) { return l = l - r; } template <class T> bool intersect(const pair<T, T> &l, const pair<T, T> &r) { return (l.se < r.se ? r.fi < l.se : l.fi < r.se); } template <class T> vector<T> &operator++(vector<T> &v) { fore(e, v) e++; return v; } template <class T> vector<T> operator++(vector<T> &v, int) { auto res = v; fore(e, v) e++; return res; } template <class T> vector<T> &operator--(vector<T> &v) { fore(e, v) e--; return v; } template <class T> vector<T> operator--(vector<T> &v, int) { auto res = v; fore(e, v) e--; return res; } template <class T> void connect(vector<T> &l, const vector<T> &r) { fore(e, r) l.eb(e); } template <class T> vector<T> operator+(const vector<T> &l, const vector<T> &r) { vector<T> res(max(si(l), si(r))); rep(i, si(l)) res[i] += l[i]; rep(i, si(r)) res[i] += r[i]; return res; } template <class T> vector<T> operator-(const vector<T> &l, const vector<T> &r) { vector<T> res(max(si(l), si(r))); rep(i, si(l)) res[i] += l[i]; rep(i, si(r)) res[i] -= r[i]; return res; } template <class T> vector<T> &operator+=(const vector<T> &l, const vector<T> &r) { if(si(l) < si(r)) l.resize(si(r)); rep(i, si(r)) l[i] += r[i]; return l; } template <class T> vector<T> &operator-=(const vector<T> &l, const vector<T> &r) { if(si(l) < si(r)) l.resize(si(r)); rep(i, si(r)) l[i] -= r[i]; return l; } template <class T> vector<T> &operator+=(vector<T> &v, const T &x) { fore(e, v) e += x; return v; } template <class T> vector<T> &operator-=(vector<T> &v, const T &x) { fore(e, v) e -= x; return v; } template <typename T> struct edge { int from, to; T cost; int id; edge(int to, T cost) : from(-1), to(to), cost(cost) {} edge(int from, int to, T cost) : from(from), to(to), cost(cost) {} edge(int from, int to, T cost, int id) : from(from), to(to), cost(cost), id(id) {} constexpr bool operator<(const edge<T> &rhs) const noexcept { return cost < rhs.cost; } edge &operator=(const int &x) { to = x; return *this; } operator int() const { return to; } friend ostream operator<<(ostream &os, const edge &e) { return os << e.to; } }; template <typename T> using Edges = vector<edge<T>>; template <typename T = int> Edges<T> read_edges(int m, bool weighted = false) { Edges<T> res; res.reserve(m); for(int i = 0; i < m; i++) { int u, v, c = 0; scan(u), scan(v), u--, v--; if(weighted) scan(c); res.eb(u, v, c, i); } return res; } using Tree = vector<vector<int>>; using Graph = vector<vector<int>>; template <class T> using Wgraph = vector<vector<edge<T>>>; Graph getG(int n, int m = -1, bool directed = false, int margin = 1) { Tree res(n); if(m == -1) m = n - 1; while(m--) { int a, b; cin >> a >> b; a -= margin, b -= margin; res[a].emplace_back(b); if(!directed) res[b].emplace_back(a); } return res; } Graph getTreeFromPar(int n, int margin = 1) { Graph res(n); for(int i = 1; i < n; i++) { int a; cin >> a; res[a - margin].emplace_back(i); } return res; } template <class T> Wgraph<T> getWg(int n, int m = -1, bool directed = false, int margin = 1) { Wgraph<T> res(n); if(m == -1) m = n - 1; while(m--) { int a, b; T c; scan(a), scan(b), scan(c); a -= margin, b -= margin; res[a].emplace_back(b, c); if(!directed) res[b].emplace_back(a, c); } return res; } void add(Graph &G, int x, int y) { G[x].eb(y), G[y].eb(x); } template <class S, class T> void add(Wgraph<S> &G, int x, int y, T c) { G[x].eb(y, c), G[y].eb(x, c); } #define TEST \ INT(testcases); \ while(testcases--) i128 abs(const i128 &x) { return x > 0 ? x : -x; } istream &operator>>(istream &is, i128 &v) { string s; is >> s; v = 0; for(int i = 0; i < (int)s.size(); i++) { if(isdigit(s[i])) { v = v * 10 + s[i] - '0'; } } if(s[0] == '-') { v *= -1; } return is; } ostream &operator<<(ostream &os, const i128 &v) { if(v == 0) { return (os << "0"); } i128 num = v; if(v < 0) { os << '-'; num = -num; } string s; for(; num > 0; num /= 10) { s.push_back((char)(num % 10) + '0'); } reverse(s.begin(), s.end()); return (os << s); } namespace aux { template <typename T, unsigned N, unsigned L> struct tp { static void output(std::ostream &os, const T &v) { os << std::get<N>(v) << (&os == &cerr ? ", " : " "); tp<T, N + 1, L>::output(os, v); } }; template <typename T, unsigned N> struct tp<T, N, N> { static void output(std::ostream &os, const T &v) { os << std::get<N>(v); } }; } // namespace aux template <typename... Ts> std::ostream &operator<<(std::ostream &os, const std::tuple<Ts...> &t) { if(&os == &cerr) { os << '('; } aux::tp<std::tuple<Ts...>, 0, sizeof...(Ts) - 1>::output(os, t); if(&os == &cerr) { os << ')'; } return os; } template <typename T, typename S, typename U> std::ostream &operator<<(std::ostream &os, const priority_queue<T, S, U> &_pq) { auto pq = _pq; vector<T> res; while(!empty(pq)) res.emplace_back(pq.top()), pq.pop(); return os << res; } template <class T, class S> ostream &operator<<(ostream &os, const pair<T, S> &p) { if(&os == &cerr) { return os << "(" << p.first << ", " << p.second << ")"; } return os << p.first << " " << p.second; } template <class Ch, class Tr, class Container> std::basic_ostream<Ch, Tr> &operator<<(std::basic_ostream<Ch, Tr> &os, const Container &x) { bool f = true; if(&os == &cerr) os << "["; for(auto &y : x) { if(&os == &cerr) os << (f ? "" : ", ") << y; else os << (f ? "" : " ") << y; f = false; } if(&os == &cerr) os << "]"; return os; } #define dump(...) static_cast<void>(0) #define dbg(...) static_cast<void>(0) void OUT() { cout << endl; } template <class Head, class... Tail> void OUT(const Head &head, const Tail &...tail) { cout << head; if(sizeof...(tail)) cout << ' '; OUT(tail...); } template <typename T> static constexpr T inf = numeric_limits<T>::max() / 2; template <class T, class S> constexpr pair<T, S> inf<pair<T, S>> = {inf<T>, inf<S>}; template <class T> void OUT2(const T &t, T INF = inf<T>, T res = -1) { OUT(t != INF ? t : res); } template <class T> void OUT2(vector<T> &v, T INF = inf<T>, T res = -1) { fore(e, v) if(e == INF) e = res; OUT(v); fore(e, v) if(e == res) e = INF; } template <class F> struct REC { F f; REC(F &&f_) : f(forward<F>(f_)) {} template <class... Args> auto operator()(Args &&...args) const { return f(*this, forward<Args>(args)...); } }; template <class S> vector<pair<S, int>> runLength(const vector<S> &v) { vector<pair<S, int>> res; for(auto &e : v) { if(res.empty() or res.back().fi != e) res.eb(e, 1); else res.back().se++; } return res; } vector<pair<char, int>> runLength(const string &v) { vector<pair<char, int>> res; for(auto &e : v) { if(res.empty() or res.back().fi != e) res.eb(e, 1); else res.back().se++; } return res; } struct string_converter { char start = 0; char type(const char &c) const { return (islower(c) ? 'a' : isupper(c) ? 'A' : isdigit(c) ? '0' : 0); } int convert(const char &c) { if(!start) start = type(c); return c - start; } int convert(const char &c, const string &chars) { return chars.find(c); } template <typename T> auto convert(const T &v) { vector<decltype(convert(v[0]))> ret; ret.reserve(size(v)); for(auto &&e : v) ret.emplace_back(convert(e)); return ret; } template <typename T> auto convert(const T &v, const string &chars) { vector<decltype(convert(v[0], chars))> ret; ret.reserve(size(v)); for(auto &&e : v) ret.emplace_back(convert(e, chars)); return ret; } int operator()(const char &v, char s = 0) { start = s; return convert(v); } int operator()(const char &v, const string &chars) { return convert(v, chars); } template <typename T> auto operator()(const T &v, char s = 0) { start = s; return convert(v); } template <typename T> auto operator()(const T &v, const string &chars) { return convert(v, chars); } } toint; template <class T, class F> T bin_search(T ok, T ng, const F &f) { while(abs(ok - ng) > 1) { T mid = ok + ng >> 1; (f(mid) ? ok : ng) = mid; } return ok; } template <class T, class F> T bin_search_double(T ok, T ng, const F &f, int iter = 80) { while(iter--) { T mid = (ok + ng) / 2; (f(mid) ? ok : ng) = mid; } return ok; } struct Setup_io { Setup_io() { ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0); cout << fixed << setprecision(11); } } setup_io; #endif #pragma endregion // from ACL namespace lazysegtree_impl { namespace internal { // @param n `0 <= n` // @return minimum non-negative `x` s.t. `n <= 2**x` int ceil_pow2(int n) { int x = 0; while((1U << x) < (unsigned int)(n)) x++; return x; } // @param n `1 <= n` // @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0` constexpr int bsf_constexpr(unsigned int n) { int x = 0; while(!(n & (1 << x))) x++; return x; } // @param n `1 <= n` // @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0` int bsf(unsigned int n) { #ifdef _MSC_VER unsigned long index; _BitScanForward(&index, n); return index; #else return __builtin_ctz(n); #endif } } // namespace internal } // namespace lazysegtree_impl namespace lazysegtree_impl { template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S), F (*composition)(F, F), F (*id)()> struct lazy_segtree { public: lazy_segtree() : lazy_segtree(0) {} explicit lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {} explicit lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) { log = internal::ceil_pow2(_n); size = 1 << log; d = std::vector<S>(2 * size, e()); lz = std::vector<F>(size, id()); for(int i = 0; i < _n; i++) d[size + i] = v[i]; for(int i = size - 1; i >= 1; i--) { update(i); } } void set(int p, S x) { assert(0 <= p && p < _n); p += size; for(int i = log; i >= 1; i--) push(p >> i); d[p] = x; for(int i = 1; i <= log; i++) update(p >> i); } S get(int p) { assert(0 <= p && p < _n); p += size; for(int i = log; i >= 1; i--) push(p >> i); return d[p]; } S prod(int l, int r) { #ifdef ONLINE_JUDGE if(l < 0) l = 0; if(r > _n) r = _n; if(l > r) return e(); #endif assert(0 <= l && l <= r && r <= _n); if(l == r) return e(); l += size; r += size; for(int i = log; i >= 1; i--) { if(((l >> i) << i) != l) push(l >> i); if(((r >> i) << i) != r) push((r - 1) >> i); } S sml = e(), smr = e(); while(l < r) { if(l & 1) sml = op(sml, d[l++]); if(r & 1) smr = op(d[--r], smr); l >>= 1; r >>= 1; } return op(sml, smr); } S all_prod() { return d[1]; } void apply(int p, F f) { assert(0 <= p && p < _n); p += size; for(int i = log; i >= 1; i--) push(p >> i); d[p] = mapping(f, d[p]); for(int i = 1; i <= log; i++) update(p >> i); } void apply(int l, int r, F f) { #ifdef ONLINE_JUDGE if(l < 0) l = 0; if(r > _n) r = _n; if(l > r) return; #endif assert(0 <= l && l <= r && r <= _n); if(l == r) return; l += size; r += size; for(int i = log; i >= 1; i--) { if(((l >> i) << i) != l) push(l >> i); if(((r >> i) << i) != r) push((r - 1) >> i); } { int l2 = l, r2 = r; while(l < r) { if(l & 1) all_apply(l++, f); if(r & 1) all_apply(--r, f); l >>= 1; r >>= 1; } l = l2; r = r2; } for(int i = 1; i <= log; i++) { if(((l >> i) << i) != l) update(l >> i); if(((r >> i) << i) != r) update((r - 1) >> i); } } template <bool (*g)(S)> int max_right(int l) { return max_right(l, [](S x) { return g(x); }); } template <class G> int max_right(int l, G g) { #ifdef ONLINE_JUDGE if(l < 0) l = 0; if(l > _n) l = _n; #endif assert(0 <= l && l <= _n); assert(g(e())); if(l == _n) return _n; l += size; for(int i = log; i >= 1; i--) push(l >> i); S sm = e(); do { while(l % 2 == 0) l >>= 1; if(!g(op(sm, d[l]))) { while(l < size) { push(l); l = (2 * l); if(g(op(sm, d[l]))) { sm = op(sm, d[l]); l++; } } return l - size; } sm = op(sm, d[l]); l++; } while((l & -l) != l); return _n; } template <bool (*g)(S)> int min_left(int r) { return min_left(r, [](S x) { return g(x); }); } template <class G> int min_left(int r, G g) { #ifdef ONLINE_JUDGE if(r < 0) r = 0; if(r > _n) r = _n; #endif assert(0 <= r && r <= _n); assert(g(e())); if(r == 0) return 0; r += size; for(int i = log; i >= 1; i--) push((r - 1) >> i); S sm = e(); do { r--; while(r > 1 && (r % 2)) r >>= 1; if(!g(op(d[r], sm))) { while(r < size) { push(r); r = (2 * r + 1); if(g(op(d[r], sm))) { sm = op(d[r], sm); r--; } } return r + 1 - size; } sm = op(d[r], sm); } while((r & -r) != r); return 0; } S operator[](int k) { return get(k); } friend std::ostream &operator<<(std::ostream &os, lazy_segtree &ls) { os << "{"; for(int i = 0; i < ls._n; i++) os << ls.get(i) << (i == ls._n - 1 ? "" : ", "); return os << "}"; } int len() { return _n; } private: int _n, size, log; std::vector<S> d; std::vector<F> lz; void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); } void all_apply(int k, F f) { d[k] = mapping(f, d[k]); if(k < size) lz[k] = composition(f, lz[k]); } void push(int k) { all_apply(2 * k, lz[k]); all_apply(2 * k + 1, lz[k]); lz[k] = id(); } }; template <class T> constexpr T inf = std::numeric_limits<T>::max() / 2; template <class T, class U> constexpr std::pair<T, U> inf<std::pair<T, U>> = {inf<T>, inf<U>}; template <typename T> T min_func(T x, T y) { return min(x, y); } template <typename T> T max_func(T x, T y) { return max(x, y); } template <typename T> T plus_func(T x, T y) { return x + y; } template <typename T, int ID> T set_func(T x, T y) { return (y == ID ? x : y); } template <typename T> T min_e() { return inf<T>; } template <typename T> T max_e() { return -inf<T>; } template <typename T> T plus_e() { return T(); } // range add get range min template <typename T> using RmRm = lazy_segtree<T, min_func<T>, min_e<T>, T, min_func<T>, min_func<T>, min_e<T>>; // range add get range max template <typename T> using RARM = lazy_segtree<T, max_func<T>, max_e<T>, T, plus_func<T>, plus_func<T>, plus_e<T>>; // range add get range sum // first が size, second が value template <typename T> pair<int, T> RARS_op(pair<int, T> x, pair<int, T> y) { return {x.first + y.first, x.second + y.second}; } template <typename T> pair<int, T> RARS_e() { return {0, 0}; } template <typename T> pair<int, T> RARS_map(T f, pair<int, T> x) { return {x.first, x.second + f * x.first}; } template <typename T> using _RARS = lazy_segtree<pair<int, T>, RARS_op<T>, RARS_e<T>, T, RARS_map<T>, plus_func<T>, plus_e<T>>; template <typename T> struct RARS : _RARS<T> { private: vector<pair<int, T>> to_p(const vector<T> &v) { vector<pair<int, T>> res(v.size()); for(int i = 0; i < v.size(); i++) res[i] = pair(1, v[i]); return res; } public: RARS(int n) : _RARS<T>(vector(n, pair(1, T()))) {} RARS(const vector<T> &v) : _RARS<T>(to_p(v)) {} T get(int k) { return _RARS<T>::get(k).se; } T prod(int l, int r) { return _RARS<T>::prod(l, r).se; } T operator[](int k) { return get(k); } friend std::ostream &operator<<(std::ostream &os, RARS &ls) { os << "{"; for(int i = 0; i < ls.len(); i++) os << ls.get(i) << (i == ls.len() ? "" : ", "); return os << "}"; } }; // 区間の挿入、削除、union のサイズ取得 pair<int, int> segunion_merge(pair<int, int> x, pair<int, int> y) { return (x.se == y.se ? pair<int, int>{x.fi + y.fi, x.se} : x.se < y.se ? x : y); } pair<int, int> segunion_e() { return {}; } pair<int, int> segunion_mapp(int x, pair<int, int> p) { return {p.fi, p.se + x}; } using SegmentUnion = lazy_segtree<pair<int, int>, segunion_merge, segunion_e, int, segunion_mapp, plus_func<int>, plus_e<int>>; } // namespace lazysegtree_impl using lazysegtree_impl::lazy_segtree; using lazysegtree_impl::RARM; using lazysegtree_impl::RARS; using lazysegtree_impl::RmRm; using lazysegtree_impl::SegmentUnion; // string ver vector<int> z_algorithm(string &s) { int n = s.size(); vector<int> res(n); for(int i = 1, j = 0; i < s.size(); i++) { if(i + res[i - j] < j + res[j]) { res[i] = res[i - j]; } else { int k = max(0, j + res[j] - i); while(i + k < n and s[k] == s[i + k]) ++k; res[i] = k, j = i; } } res[0] = n; return res; } // vector ver template <typename T> vector<int> z_algorithm(vector<T> &s) { int n = s.size(); vector<int> res(n); for(int i = 1, j = 0; i < s.size(); i++) { if(i + res[i - j] < j + res[j]) { res[i] = res[i - j]; } else { int k = max(0, j + res[j] - i); while(i + k < n and s[k] == s[i + k]) ++k; res[i] = k, j = i; } } res[0] = n; return res; } /** * @brief Dynamic-Li-Chao-Tree * @docs docs/dynamic-li-chao-tree.md */ template <typename T, T x_low, T x_high, T id> struct DynamicLiChaoTree { struct Line { T a, b; Line(T a, T b) : a(a), b(b) {} inline T get(T x) const { return a * x + b; } }; struct Node { Line x; Node *l, *r; Node(const Line &x) : x{x}, l{nullptr}, r{nullptr} {} }; Node *root; DynamicLiChaoTree() : root{nullptr} {} Node *add_line(Node *t, Line &x, const T &l, const T &r, const T &x_l, const T &x_r) { if(!t) return new Node(x); T t_l = t->x.get(l), t_r = t->x.get(r); if(t_l <= x_l && t_r <= x_r) { return t; } else if(t_l >= x_l && t_r >= x_r) { t->x = x; return t; } else { T m = (l + r) / 2; if(m == r) --m; T t_m = t->x.get(m), x_m = x.get(m); if(t_m > x_m) { swap(t->x, x); if(x_l >= t_l) t->l = add_line(t->l, x, l, m, t_l, t_m); else t->r = add_line(t->r, x, m + 1, r, t_m + x.a, t_r); } else { if(t_l >= x_l) t->l = add_line(t->l, x, l, m, x_l, x_m); else t->r = add_line(t->r, x, m + 1, r, x_m + x.a, x_r); } return t; } } void add_line(const T &a, const T &b) { Line x(a, b); root = add_line(root, x, x_low, x_high, x.get(x_low), x.get(x_high)); } Node *add_segment(Node *t, Line &x, const T &a, const T &b, const T &l, const T &r, const T &x_l, const T &x_r) { if(r < a || b < l) return t; if(a <= l && r <= b) { Line y{x}; return add_line(t, y, l, r, x_l, x_r); } if(t) { T t_l = t->x.get(l), t_r = t->x.get(r); if(t_l <= x_l && t_r <= x_r) return t; } else { t = new Node(Line(0, id)); } T m = (l + r) / 2; if(m == r) --m; T x_m = x.get(m); t->l = add_segment(t->l, x, a, b, l, m, x_l, x_m); t->r = add_segment(t->r, x, a, b, m + 1, r, x_m + x.a, x_r); return t; } void add_segment(const T &l, const T &r, const T &a, const T &b) { Line x(a, b); root = add_segment(root, x, l, r - 1, x_low, x_high, x.get(x_low), x.get(x_high)); } T query(const Node *t, const T &l, const T &r, const T &x) const { if(!t) return id; if(l == r) return t->x.get(x); T m = (l + r) / 2; if(m == r) --m; if(x <= m) return min(t->x.get(x), query(t->l, l, m, x)); else return min(t->x.get(x), query(t->r, m + 1, r, x)); } T query(const T &x) const { return query(root, x_low, x_high, x); } }; int main() { INT(n, m); VEC(ll, a, n); VEC(ll, b, m); VEC(ll, c, m); DynamicLiChaoTree<ll, 0, 1000000, inf<ll>> lct; RmRm<ll> seg(m + 1); seg.set(0, 0); fore(e, b) a.eb(e); auto z = z_algorithm(a); rep(i, n, n + m + 1) { int idx = i - n; ll now = lct.query(idx); if(i == n) now = 0; if(i == n + m) { if(now == inf<ll>) now = -1; OUT(now); exit(0); } lct.add_segment(idx + 1, idx + z[i] + 1, c[idx], now - c[idx] * idx); } }