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Mar 29, 2025
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60 changes: 60 additions & 0 deletions 2818. Apply Operations to Maximize Score
Original file line number Diff line number Diff line change
@@ -0,0 +1,60 @@
typedef long long ll;
class Solution {
public:
// left: greater or equal
// right: greater
ll mod = 1e9 + 7;
ll myPow(ll a, ll b) {
ll res = 1;
while (a) {
if (a & 1) res = (res * b) % mod;
a = a >> 1;
b = b * b % mod;
}
return res;
}
int maximumScore(vector<int>& nums, int k) {
int n = nums.size();
vector<int> prime(n, 0);
for (int i = 0; i < nums.size(); i++) {
int cnt = 0;
int num = nums[i];
for (int j = 2; j * j <= num; j++) {
cnt += (num % j) == 0;
while ((num % j) == 0) num /= j;
}
if (num != 1) cnt += 1;
prime[i] = cnt;
}
unordered_map<int, int> leftMap;
unordered_map<int, vector<int>> rightMap;
for (int i = n - 1; i >= 0; i--) {
rightMap[prime[i]].push_back(i);
}

vector<pair<ll, ll>> record;
for (ll i = 0; i < n; i++) {
rightMap[prime[i]].pop_back();
ll leftLen = i + 1;
for (int j = prime[i]; j <= 10; j++)
if (leftMap.count(j))
leftLen = min(leftLen, i - leftMap[j]);
ll rightLen = n - i;
for (int j = prime[i] + 1; j <= 10; j++)
if (rightMap.count(j) && rightMap[j].size() > 0)
rightLen = min(rightLen, rightMap[j].back() - i);
record.push_back({nums[i], leftLen * rightLen});
leftMap[prime[i]] = i;
}
sort(record.begin(), record.end(), greater<>());

ll ans = 1;
for (auto &x: record) {
ll tmp = myPow(min(x.second, 1ll * k), x.first);
ans = (ans * tmp) % mod;
k -= x.second;
if (k <= 0) break;
}
return ans;
}
};
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