#include <iostream>
#include <vector>
#include <algorithm>
#include <cmath>
#include <bitset>
using namespace std;
int debug = 0;
void print_vector(const vector<long long>& v) {
for (long long i : v) {
cout << i << " ";
}
cout << endl;
}
class AdvancedSegmentTree {
vector<long long> tree;
vector<long long> original_data;
int n;
void build(const vector<long long>& data, int v, int tl, int tr) {
if (tl == tr) {
tree[v] = data[tl];
original_data[tl] = data[tl];
} else {
int tm = (tl + tr) / 2;
build(data, v * 2, tl, tm);
build(data, v * 2 + 1, tm + 1, tr);
tree[v] = 0;
}
}
public:
AdvancedSegmentTree(const vector<long long>& data) {
n = data.size();
tree.assign(4 * n, 0);
original_data = data;
build(data, 1, 0, n - 1);
}
void update(int v, int tl, int tr, int l, int r, long long add) {
if (l > r)
return;
if (l == tl && r == tr) {
tree[v] += add;
} else {
int tm = (tl + tr) / 2;
update(v * 2, tl, tm, l, min(r, tm), add);
update(v * 2 + 1, tm+1, tr, max(l, tm + 1), r, add);
}
}
int get(int v, int tl, int tr, int pos) {
if (tl == tr)
return tree[v];
int tm = (tl + tr) / 2;
if (pos <= tm) {
return tree[v] + get(v * 2, tl, tm, pos);
} else {
return tree[v] + get(v * 2 + 1, tm + 1, tr, pos);
}
}
void print() {
for (long long i : tree) {
cout << i << " ";
}
cout << endl;
}
// Helper wrappers
void subtract(int l, int r, long long x) {
update(1, 0, n - 1, l, r, -x);
}
int get_value(int position) {
return get(1, 0, n - 1, position);
}
};
int try_wave(const vector<long long>& beach, int wave_size) {
AdvancedSegmentTree* tree = new AdvancedSegmentTree(beach);
if (debug) tree->print();
// 0 1 2 3 4 5 6 7 : 8 wave 2
for (int i = 0; i <= (int)beach.size() - wave_size; i++) {
int value = tree->get_value(i);
if (debug) cout << "value at " << i << " = " << value << endl;
if (value == 0) {
continue;
} else if (value < 0) {
return -1;
} else {
tree->subtract(i, i + wave_size - 1, value);
}
if (debug) tree->print();
}
for (int i = (int)beach.size() - wave_size + 1; i < (int)beach.size(); i++) {
int value = tree->get_value(i);
if (debug) cout << "value at " << i << " = " << value << endl;
if (value != 0) {
return -1;
}
}
return 1;
}
std::vector<int> get_primes(int n) {
std::vector<int> primes;
std::bitset<100001> is_prime;
is_prime.set();
is_prime[0] = is_prime[1] = 0;
for (int p = 2; p * p <= n; p++) {
if (is_prime[p]) {
for (int i = p * p; i <= n; i += p)
is_prime[i] = 0;
}
}
for (int p = 2; p <= n; p++) {
if (is_prime[p]) primes.push_back(p);
}
return primes;
}
int main()
{
std::ios_base::sync_with_stdio(false);
std::cin.tie(NULL);
long long n;
long long value;
cin >> n;
vector<long long> beach(n);
// Read sizes
for (long long i = 0; i < n; i++) {
cin >> value;
beach[i] = value;
}
long long max_wave = 1;
long long sum = 0;
for (int i = 0; i < (int) beach.size(); i++) {
sum += beach[i];
}
vector<long long> divisors;
for (long long i = n; i > 1; i-- ){
if (sum % i == 0) {
divisors.push_back(i);
}
}
sort(divisors.rbegin(), divisors.rend());
for (long long k : divisors) {
if (try_wave(beach, k) != -1) {
max_wave = k;
break;
}
}
/*vector<int> primes = get_primes(100000);
for (int j = (int)primes.size() - 1; j > 0; j--) {
if (primes[j] <= (int)beach.size()) {
int result = try_wave(beach, primes[j]);
if (result != -1) {
int left = 1;
int right = int(n / primes[j]);
while (left <= right) {
int mid = (left + right) / 2;
int wave_size = mid * primes[j];
int result = try_wave(beach, wave_size);
if (debug) cout << "after : length = " << wave_size << ", result = " << result << endl;
if (result == -1) {
right = mid - 1;
} else {
left = mid + 1;
if (wave_size > max_wave) {
max_wave = wave_size;
}
}
}
}
}
}*/
/*int left = 1;
int right = n;
while (left <= right) {
int mid = (left + right) / 2;
int result = try_wave(beach, mid);
if (debug) cout << "after try_wave: length = " << mid << ", result = " << result << endl;
if (result == -1) {
right = mid - 1;
} else {
left = mid + 1;
if (mid > max_wave) {
max_wave = mid;
}
}
}*/
/*for (int i = (int)beach.size(); i > 1; i--) {
int result = try_wave(beach, i);
if (result != -1) {
max_wave = i;
break;
}
}*/
cout << max_wave << endl;
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 | #include <iostream> #include <vector> #include <algorithm> #include <cmath> #include <bitset> using namespace std; int debug = 0; void print_vector(const vector<long long>& v) { for (long long i : v) { cout << i << " "; } cout << endl; } class AdvancedSegmentTree { vector<long long> tree; vector<long long> original_data; int n; void build(const vector<long long>& data, int v, int tl, int tr) { if (tl == tr) { tree[v] = data[tl]; original_data[tl] = data[tl]; } else { int tm = (tl + tr) / 2; build(data, v * 2, tl, tm); build(data, v * 2 + 1, tm + 1, tr); tree[v] = 0; } } public: AdvancedSegmentTree(const vector<long long>& data) { n = data.size(); tree.assign(4 * n, 0); original_data = data; build(data, 1, 0, n - 1); } void update(int v, int tl, int tr, int l, int r, long long add) { if (l > r) return; if (l == tl && r == tr) { tree[v] += add; } else { int tm = (tl + tr) / 2; update(v * 2, tl, tm, l, min(r, tm), add); update(v * 2 + 1, tm+1, tr, max(l, tm + 1), r, add); } } int get(int v, int tl, int tr, int pos) { if (tl == tr) return tree[v]; int tm = (tl + tr) / 2; if (pos <= tm) { return tree[v] + get(v * 2, tl, tm, pos); } else { return tree[v] + get(v * 2 + 1, tm + 1, tr, pos); } } void print() { for (long long i : tree) { cout << i << " "; } cout << endl; } // Helper wrappers void subtract(int l, int r, long long x) { update(1, 0, n - 1, l, r, -x); } int get_value(int position) { return get(1, 0, n - 1, position); } }; int try_wave(const vector<long long>& beach, int wave_size) { AdvancedSegmentTree* tree = new AdvancedSegmentTree(beach); if (debug) tree->print(); // 0 1 2 3 4 5 6 7 : 8 wave 2 for (int i = 0; i <= (int)beach.size() - wave_size; i++) { int value = tree->get_value(i); if (debug) cout << "value at " << i << " = " << value << endl; if (value == 0) { continue; } else if (value < 0) { return -1; } else { tree->subtract(i, i + wave_size - 1, value); } if (debug) tree->print(); } for (int i = (int)beach.size() - wave_size + 1; i < (int)beach.size(); i++) { int value = tree->get_value(i); if (debug) cout << "value at " << i << " = " << value << endl; if (value != 0) { return -1; } } return 1; } std::vector<int> get_primes(int n) { std::vector<int> primes; std::bitset<100001> is_prime; is_prime.set(); is_prime[0] = is_prime[1] = 0; for (int p = 2; p * p <= n; p++) { if (is_prime[p]) { for (int i = p * p; i <= n; i += p) is_prime[i] = 0; } } for (int p = 2; p <= n; p++) { if (is_prime[p]) primes.push_back(p); } return primes; } int main() { std::ios_base::sync_with_stdio(false); std::cin.tie(NULL); long long n; long long value; cin >> n; vector<long long> beach(n); // Read sizes for (long long i = 0; i < n; i++) { cin >> value; beach[i] = value; } long long max_wave = 1; long long sum = 0; for (int i = 0; i < (int) beach.size(); i++) { sum += beach[i]; } vector<long long> divisors; for (long long i = n; i > 1; i-- ){ if (sum % i == 0) { divisors.push_back(i); } } sort(divisors.rbegin(), divisors.rend()); for (long long k : divisors) { if (try_wave(beach, k) != -1) { max_wave = k; break; } } /*vector<int> primes = get_primes(100000); for (int j = (int)primes.size() - 1; j > 0; j--) { if (primes[j] <= (int)beach.size()) { int result = try_wave(beach, primes[j]); if (result != -1) { int left = 1; int right = int(n / primes[j]); while (left <= right) { int mid = (left + right) / 2; int wave_size = mid * primes[j]; int result = try_wave(beach, wave_size); if (debug) cout << "after : length = " << wave_size << ", result = " << result << endl; if (result == -1) { right = mid - 1; } else { left = mid + 1; if (wave_size > max_wave) { max_wave = wave_size; } } } } } }*/ /*int left = 1; int right = n; while (left <= right) { int mid = (left + right) / 2; int result = try_wave(beach, mid); if (debug) cout << "after try_wave: length = " << mid << ", result = " << result << endl; if (result == -1) { right = mid - 1; } else { left = mid + 1; if (mid > max_wave) { max_wave = mid; } } }*/ /*for (int i = (int)beach.size(); i > 1; i--) { int result = try_wave(beach, i); if (result != -1) { max_wave = i; break; } }*/ cout << max_wave << endl; return 0; } |
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