#include <algorithm>
#include<bits/stdc++.h>
#define pb push_back
#define ppb pop_back
#define eb emplace_back
#define ff first
#define ss second
#define turbo ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define mid ((l+r)/2)
#define midLL ((l+r)/2LL)
#define mide ((lo+hi)/2)
#define mideLL ((lo+hi)/2LL)
//#define endl '\n'
#define lowbit(x) x&(-x)
#define bits(x) __builtin_popcount(x)
#define mins(se) (*se.begin())
#define maxs(se) (*--se.end())
#define all(x) x.begin(), x.end()
#define log2_floor(i) (i ? __builtin_clzll(1) - __builtin_clzll(i) : -1)
#define siz(cont) ((int)cont.size())
#define each(it, cont) for(auto &it : cont)
#define ein(cont) for(auto &it : cont) cin >> it;
#define mp(a, b) make_pair(a, b)
using ll = long long;
using pii = std::pair<int, int>;
using pll = std::pair<ll, ll>;
using pli = std::pair<ll, int>;
using pil = std::pair<int, ll>;
using vll = std::vector<pll>;
using vii = std::vector<pii>;
using vi = std::vector<int>;
using vl = std::vector<ll>;
using vvl = std::vector<vl>;
using vvi = std::vector<vi>;
using vvii = std::vector<vii>;
using vli = std::vector<pli>;
using vvli = std::vector<vli>;
using vil = std::vector<pil>;
using vvil = std::vector<vil>;
using vc = std::vector<char>;
using vvc = std::vector<std::vector<char>>;
using vb = std::vector<bool>;
using vvb = std::vector<vb>;
#ifdef JDKURWE
void err() { std::cout << "\n"; fflush(stdout); }
template<class T, class... Ts>
void err(T arg, Ts &... args) {
std::cout << arg << ' ';
err(args...);
}
#else
void err() {}
template<class T, class... Ts>
void err(T arg, Ts &... args) {
err(args...);
}
#endif
using namespace std;
ll MX = 1e6+100;
vl v;
ll n, big_sum, big_ile;
ll res = 1;
vl add;
inline bool check(int k) {
ll s = 0;
fill(all(add), 0);
for (int i = 0; i < siz(v); i++) {
s += add[i];
if (s > v[i])
return false;
if (v[i] > s) {
if (i+k >= siz(add))
return false;
add[i+k] -= v[i]-s;
s = v[i];
}
}
return true;
}
vll turbina(ll x) {
ll orig = x;
vll rz;
for (ll i = 2; i*i <= orig; i++)
if (x%i == 0) {
rz.pb({i, 0});
while (x%i == 0) {
rz.back().ss++;
x /= i;
}
}
if (x != 1)
rz.pb({x, 1});
return rz;
}
vll roz;
vl dz;
void go(int i=0, ll k=1) {
if (k > n)
return;
if (i == siz(roz)) {
dz.pb(k);
return;
}
for (int j = 0; j <= roz[i].ss; j++) {
go (i+1, k);
k *= roz[i].ff;
}
}
ll get_ile_min() {
ll last = 0, rs = 0;
for (int i = 0; i < siz(v); i++) {
if (v[i] > last)
rs += v[i]-last;
last = v[i];
}
return rs;
}
signed main() {
turbo;
cin >> n;
v = vl(n);
add = vl(n+1);
each(it, v) {
cin >> it;
big_sum += it;
}
roz = turbina(big_sum);
go();
sort(all(dz));
ll mi = get_ile_min();
for (int i = siz(dz)-1; i >= 0; i--)
if (big_sum/dz[i] < mi) {
dz[i] = 1;
}
vi ind(siz(dz));
for (int i = 0; i < siz(ind); i++)
ind[i] = i;
srand(42);
random_shuffle(all(ind));
while (!ind.empty()) {
while (!ind.empty() and dz[ind.back()] <= res)
ind.ppb();
if (ind.empty())
break;
ll it = dz[ind.back()];
ind.ppb();
if (check(it)) {
res = it;
continue;
}
for (auto &dzie : dz) {
if (dzie%it == 0)
dzie = 1;
}
}
cout << res;
}
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 | #include <algorithm> #include<bits/stdc++.h> #define pb push_back #define ppb pop_back #define eb emplace_back #define ff first #define ss second #define turbo ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); #define mid ((l+r)/2) #define midLL ((l+r)/2LL) #define mide ((lo+hi)/2) #define mideLL ((lo+hi)/2LL) //#define endl '\n' #define lowbit(x) x&(-x) #define bits(x) __builtin_popcount(x) #define mins(se) (*se.begin()) #define maxs(se) (*--se.end()) #define all(x) x.begin(), x.end() #define log2_floor(i) (i ? __builtin_clzll(1) - __builtin_clzll(i) : -1) #define siz(cont) ((int)cont.size()) #define each(it, cont) for(auto &it : cont) #define ein(cont) for(auto &it : cont) cin >> it; #define mp(a, b) make_pair(a, b) using ll = long long; using pii = std::pair<int, int>; using pll = std::pair<ll, ll>; using pli = std::pair<ll, int>; using pil = std::pair<int, ll>; using vll = std::vector<pll>; using vii = std::vector<pii>; using vi = std::vector<int>; using vl = std::vector<ll>; using vvl = std::vector<vl>; using vvi = std::vector<vi>; using vvii = std::vector<vii>; using vli = std::vector<pli>; using vvli = std::vector<vli>; using vil = std::vector<pil>; using vvil = std::vector<vil>; using vc = std::vector<char>; using vvc = std::vector<std::vector<char>>; using vb = std::vector<bool>; using vvb = std::vector<vb>; #ifdef JDKURWE void err() { std::cout << "\n"; fflush(stdout); } template<class T, class... Ts> void err(T arg, Ts &... args) { std::cout << arg << ' '; err(args...); } #else void err() {} template<class T, class... Ts> void err(T arg, Ts &... args) { err(args...); } #endif using namespace std; ll MX = 1e6+100; vl v; ll n, big_sum, big_ile; ll res = 1; vl add; inline bool check(int k) { ll s = 0; fill(all(add), 0); for (int i = 0; i < siz(v); i++) { s += add[i]; if (s > v[i]) return false; if (v[i] > s) { if (i+k >= siz(add)) return false; add[i+k] -= v[i]-s; s = v[i]; } } return true; } vll turbina(ll x) { ll orig = x; vll rz; for (ll i = 2; i*i <= orig; i++) if (x%i == 0) { rz.pb({i, 0}); while (x%i == 0) { rz.back().ss++; x /= i; } } if (x != 1) rz.pb({x, 1}); return rz; } vll roz; vl dz; void go(int i=0, ll k=1) { if (k > n) return; if (i == siz(roz)) { dz.pb(k); return; } for (int j = 0; j <= roz[i].ss; j++) { go (i+1, k); k *= roz[i].ff; } } ll get_ile_min() { ll last = 0, rs = 0; for (int i = 0; i < siz(v); i++) { if (v[i] > last) rs += v[i]-last; last = v[i]; } return rs; } signed main() { turbo; cin >> n; v = vl(n); add = vl(n+1); each(it, v) { cin >> it; big_sum += it; } roz = turbina(big_sum); go(); sort(all(dz)); ll mi = get_ile_min(); for (int i = siz(dz)-1; i >= 0; i--) if (big_sum/dz[i] < mi) { dz[i] = 1; } vi ind(siz(dz)); for (int i = 0; i < siz(ind); i++) ind[i] = i; srand(42); random_shuffle(all(ind)); while (!ind.empty()) { while (!ind.empty() and dz[ind.back()] <= res) ind.ppb(); if (ind.empty()) break; ll it = dz[ind.back()]; ind.ppb(); if (check(it)) { res = it; continue; } for (auto &dzie : dz) { if (dzie%it == 0) dzie = 1; } } cout << res; } |
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