Submission #1005585

# Submission time Handle Problem Language Result Execution time Memory
1005585 2024-06-22T15:57:07 Z anango Necklace (Subtask 1-3) (BOI19_necklace1) C++17
53 / 85
1319 ms 520 KB
#include <bits/stdc++.h>
#define int long long

using namespace std;
mt19937 rng;
int INF = 1LL<<60;
int p = 2071723;
int MOD = 1000000033;
std::chrono::steady_clock::time_point begin2 = std::chrono::steady_clock::now();

string a;
string b;
int n,m;

vector<int> hashes;

void compute_hash(string s) {
    int n1 = s.size();
    hashes.clear();
    hashes=vector<int>(n1+1,0);
    int ha = 0;
    for (int i=0; i<n1; i++) {
        ha += s[i]-'a';
        ha *= p;
        ha %= MOD;
        hashes[i+1] = ha;
    }
    
}

int exp(int p, int n) {
    int ans=1;
    int r = p;
    for (int i=0; i<30; i++) {
        if (n&(1<<i)) {
            ans*=r;
            ans%=MOD;
        }
        r*=r;
        r%=MOD;
    }
    return ans;
}

int gethash(int l, int r) {
    int h1 = hashes[l];
    int h2 = hashes[r+1];
    h1 *= exp(p,r-l+1);
    h1%=MOD;
    int dif = h2-h1;
    dif%=MOD;
    dif+=MOD;
    dif%=MOD;
    return dif;
}

bool check(int a, int b, int length) {
    return gethash(a,a+length-1)==gethash(b,b+length-1);
}
bool verify(int i, int j, int length) {
    //checks if i...i+length-1 in a = j...j+length-1 in b
    return gethash(i,length-1)==gethash(n+j, length-1);
}
int cutoff;
vector<pair<int,int>> solve() {
    compute_hash(a+b);
    int ans = 0;
    pair<int,int> xpos;
    pair<int,int> ypos;
    for (int trial=0; trial*ans<40000000; trial++) {
        if (!(trial%1000)) {
            std::chrono::steady_clock::time_point end2 = std::chrono::steady_clock::now();
            int x = std::chrono::duration_cast<std::chrono::microseconds>(end2 - begin2).count();
            if (x>cutoff) {
                //cout <<x <<" " << cutoff <<" " << trial << " " << ans << endl;
                return {{ans,ans},xpos,ypos};
            }
        }
        int i,j;
        i=rng()%n;  
        j=rng()%m;
        if (a[i]!=b[j]) {
            continue;
        }
        int l,r;
        l=0;
        r=0;
        while (l+i>=0 && l+j>=0 && a[i+l]==b[j+l]) {
            //cout << "doing " << i <<" " << l <<" " << a[i+l] <<" " << b[j+l] << endl;
            l--;
        }
        l++;
        while (r+i<=n-1 && r+j<=m-1 && a[i+r]==b[j+r]) {
            r++;
        }
        r--;
        int length = r-l+1;
        int subans = length;
        if (subans>ans) {
            ans=subans;
            xpos={i+l,i+l+length};
            ypos={j+l,j+l+length};
        }
        if (subans<=ans/2) {
            continue;
        }
        for (int blubber=1; blubber<=length; blubber++) { //add it on both sides
            int la = i+r+1;
            int ra = i+r+blubber;
            int lb = j+l-blubber;
            int rb = j+l-1;
            if (!(0<=la && la<=n-1) || !(0<=lb && rb<=m-1)) {
                break;
            }
            if (gethash(la,ra)==gethash(n+lb,n+rb)) {
                int subans = blubber+length;
                if (subans>ans) {
                    //cout << a <<" " << b <<" " << ans <<" " << i <<" " << j <<" " << blubber <<" " << subans << endl;
                    //cout << la <<" " << ra <<" " << lb <<" " << rb << endl;
                    ans=subans;
                    xpos = {i+l,ra};
                    ypos = {lb,j+r};
                }
            }
        }

    }
    return {{ans,ans},xpos,ypos};

    
}

signed main() {
    //freopen("input.txt","r", stdin);
    //freopen("output.txt","w",stdout);
    const std::clock_t c_start = std::clock();
    auto t_start = std::chrono::high_resolution_clock::now();
    cin >> a;
    cin >> b;
    n=a.size();
    m=b.size();
    vector<pair<int,int>> ans2;
    vector<int> ans(3);
    int TL = 1300000;
    cutoff=TL/4;
    ans2=solve();
    ans[0] = ans2[0].first;
    ans[1] = ans2[1].first; 
    ans[2] = ans2[2].first;
    reverse(b.begin(), b.end());
    cutoff=2*TL/4;
    ans2 = solve();
    if (ans2[0].first>ans[0]) {
        ans[0] = ans2[0].first;
        ans[1] = ans2[1].first;
        ans[2] = m-ans2[2].second-1;
    }
    reverse(a.begin(), a.end());
    cutoff=3*TL/4;
    ans2 = solve();
    if (ans2[0].first>ans[0]) {
        ans[0] = ans2[0].first;
        ans[1] = n-ans2[1].second-1;
        ans[2] = m-ans2[2].second-1;
    }
    reverse(b.begin(), b.end());
    cutoff=4*TL/4;
    ans2 = solve();
    if (ans2[0].first>ans[0]) {
        ans[0] = ans2[0].first;
        ans[1] = n-ans2[1].second-1;
        ans[2] = ans2[2].first;
    }
    cout << ans[0] << endl;
    cout << ans[1] <<" " << ans[2] << endl;


    //want to store for each x and j, the smallest t such that match[x][t]+t = j
    

}

Compilation message

necklace.cpp: In function 'int main()':
necklace.cpp:136:24: warning: unused variable 'c_start' [-Wunused-variable]
  136 |     const std::clock_t c_start = std::clock();
      |                        ^~~~~~~
necklace.cpp:137:10: warning: variable 't_start' set but not used [-Wunused-but-set-variable]
  137 |     auto t_start = std::chrono::high_resolution_clock::now();
      |          ^~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1289 ms 412 KB Output is correct
2 Correct 1299 ms 412 KB Output is correct
3 Correct 1300 ms 420 KB Output is correct
4 Correct 1295 ms 416 KB Output is correct
5 Correct 477 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1289 ms 412 KB Output is correct
2 Correct 1299 ms 412 KB Output is correct
3 Correct 1300 ms 420 KB Output is correct
4 Correct 1295 ms 416 KB Output is correct
5 Correct 477 ms 344 KB Output is correct
6 Correct 1294 ms 428 KB Output is correct
7 Correct 1298 ms 348 KB Output is correct
8 Correct 1054 ms 428 KB Output is correct
9 Correct 1289 ms 432 KB Output is correct
10 Correct 84 ms 440 KB Output is correct
11 Correct 108 ms 344 KB Output is correct
12 Correct 1297 ms 436 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1289 ms 412 KB Output is correct
2 Correct 1299 ms 412 KB Output is correct
3 Correct 1300 ms 420 KB Output is correct
4 Correct 1295 ms 416 KB Output is correct
5 Correct 477 ms 344 KB Output is correct
6 Correct 1294 ms 428 KB Output is correct
7 Correct 1298 ms 348 KB Output is correct
8 Correct 1054 ms 428 KB Output is correct
9 Correct 1289 ms 432 KB Output is correct
10 Correct 84 ms 440 KB Output is correct
11 Correct 108 ms 344 KB Output is correct
12 Correct 1297 ms 436 KB Output is correct
13 Correct 1317 ms 500 KB Output is correct
14 Correct 1319 ms 520 KB Output is correct
15 Correct 1302 ms 344 KB Output is correct
16 Correct 1040 ms 480 KB Output is correct
17 Correct 13 ms 348 KB Output is correct
18 Correct 106 ms 496 KB Output is correct
19 Correct 1311 ms 480 KB Output is correct
20 Partially correct 1304 ms 348 KB Output is partially correct
21 Correct 1309 ms 348 KB Output is correct