結果

問題 No.2159 Filling 4x4 array
ユーザー 👑 NachiaNachia
提出日時 2022-10-30 22:41:45
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 5,522 bytes
コンパイル時間 1,043 ms
コンパイル使用メモリ 82,868 KB
実行使用メモリ 6,824 KB
最終ジャッジ日時 2024-10-14 22:56:48
合計ジャッジ時間 2,111 ms
ジャッジサーバーID
(参考情報)
judge2 / judge4
このコードへのチャレンジ
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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 WA -
testcase_01 AC 2 ms
5,248 KB
testcase_02 WA -
testcase_03 WA -
testcase_04 WA -
testcase_05 WA -
testcase_06 WA -
testcase_07 WA -
testcase_08 WA -
testcase_09 WA -
testcase_10 WA -
testcase_11 WA -
testcase_12 WA -
testcase_13 WA -
testcase_14 WA -
testcase_15 WA -
testcase_16 WA -
testcase_17 WA -
testcase_18 WA -
testcase_19 WA -
testcase_20 WA -
testcase_21 WA -
testcase_22 WA -
testcase_23 WA -
testcase_24 WA -
testcase_25 WA -
testcase_26 WA -
testcase_27 WA -
testcase_28 WA -
testcase_29 WA -
testcase_30 WA -
testcase_31 WA -
testcase_32 WA -
testcase_33 WA -
testcase_34 WA -
testcase_35 WA -
testcase_36 WA -
testcase_37 WA -
testcase_38 WA -
testcase_39 WA -
testcase_40 WA -
testcase_41 WA -
testcase_42 WA -
testcase_43 WA -
testcase_44 WA -
testcase_45 AC 2 ms
5,248 KB
testcase_46 AC 2 ms
5,248 KB
testcase_47 AC 2 ms
5,248 KB
testcase_48 AC 2 ms
5,248 KB
testcase_49 AC 2 ms
5,248 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

#include <iostream>
#include <atcoder/modint>
using namespace std;
using Int = atcoder::modint998244353;
using LInt = __int128_t;

Int f(LInt n){ return n < 0 ? 0 : (n+2) * (n+1) / 2; }
Int Int_x0(Int n){ return n; }
Int Int_x1(Int n){ return n * (n-1) / 2; }
Int Int_x2(Int n){ return n * (n-1) * (2*n-1) / 6; }
Int Int_x3(Int n){ return (n * (n-1) / 2).pow(2); }

LInt Max(LInt a){ return a; }
LInt Max(LInt a, LInt b){ return max(a, b); }
LInt Max(LInt a, LInt b, LInt c){ return max(a, max(b, c)); }
LInt Max(LInt a, LInt b, LInt c, LInt d){ return max(a, max(b, max(c, d))); }
LInt Min(LInt a){ return a; }
LInt Min(LInt a, LInt b){ return min(a, b); }
LInt Min(LInt a, LInt b, LInt c){ return min(a, min(b, c)); }
LInt Min(LInt a, LInt b, LInt c, LInt d){ return min(a, min(b, min(c, d))); }

Int solve(LInt h1, LInt h2, LInt h3, LInt w1, LInt w2, LInt w3){
    if(h1 + h2 + h3 != w1 + w2 + w3) return 0;
    LInt h = h2;
    LInt k = h1;
    Int ans = 0;
    Int static_coeff = (f(h) - f(h-(w1+w2+w3-k+3)));

    if (Max(0, k-w3-1-w2) < Min(k+1, w1+1)){
        ans += (Int_x0(Min(k+1, w1+1)) - Int_x0(Max(0, k-w3-1-w2))) * (w2+1) * static_coeff;
    }
    if (Max(0, k-w3-1-w2, k-w2) < Min(k+1, w1+1)){
        ans += (Int_x0(Min(k+1, w1+1)) - Int_x0(Max(0, k-w3-1-w2, k-w2))) * (k-w2) * static_coeff;
        ans += (Int_x1(Min(k+1, w1+1)) - Int_x1(Max(0, k-w3-1-w2, k-w2))) * (-1) * static_coeff;
    }
    if (Max(0, k-w3-1-w2) < Min(k+1, w1+1, k-w3+1)){
        ans += (Int_x0(Min(k+1, w1+1, k-w3+1)) - Int_x0(Max(0, k-w3-1-w2))) * (w3-k) * static_coeff;
        ans += (Int_x1(Min(k+1, w1+1, k-w3+1)) - Int_x1(Max(0, k-w3-1-w2))) * (1) * static_coeff;
    }
    
    ans *= 2;
    
    for(int id=0; id<3; id++){
        Int Coeff1X2 = -1;
        Int Coeff1X1 = -1+2*(-h+w1);
        Int Coeff1X0 = (-1)*(h-w1+1)*(h-w1);
        Int Coeff2X2 = 1;
        Int Coeff2X1 = 1-2*(h-w2-w3+k);
        Int Coeff2X0 = (h-w2-w3+k-1)*(h-w2-w3+k);

        if (Max(0, k-w3-1-w2, w1-h+1) < Min(k+1, w1+1)){
            Int rangeL = Max(0, k-w3-1-w2, w1-h+1);
            Int rangeR = Min(k+1, w1+1);
            ans += (Int_x0(rangeR) - Int_x0(rangeL)) * (w2+1) * Coeff1X0;
            ans += (Int_x1(rangeR) - Int_x1(rangeL)) * (w2+1) * Coeff1X1;
            ans += (Int_x2(rangeR) - Int_x2(rangeL)) * (w2+1) * Coeff1X2;
        }
        if (Max(0, k-w3-1-w2, w1-h+1, k-w2) < Min(k+1, w1+1)){
            Int rangeL = Max(0, k-w3-1-w2, w1-h+1, k-w2);
            Int rangeR = Min(k+1, w1+1);
            ans += (Int_x0(rangeR) - Int_x0(rangeL)) * (k-w2) * Coeff1X0;
            ans += (Int_x1(rangeR) - Int_x1(rangeL)) * (k-w2) * Coeff1X1;
            ans += (Int_x2(rangeR) - Int_x2(rangeL)) * (k-w2) * Coeff1X2;
            ans += (Int_x1(rangeR) - Int_x1(rangeL)) * (-1) * Coeff1X0;
            ans += (Int_x2(rangeR) - Int_x2(rangeL)) * (-1) * Coeff1X1;
            ans += (Int_x3(rangeR) - Int_x3(rangeL)) * (-1) * Coeff1X2;
        }
        if (Max(0, k-w3-1-w2, w1-h+1) < Min(k+1, w1+1, k-w3+1)){
            Int rangeL = Max(0, k-w3-1-w2, w1-h+1);
            Int rangeR = Min(k+1, w1+1, k-w3+1);
            ans += (Int_x0(rangeR) - Int_x0(rangeL)) * (w3-k) * Coeff1X0;
            ans += (Int_x1(rangeR) - Int_x1(rangeL)) * (w3-k) * Coeff1X1;
            ans += (Int_x2(rangeR) - Int_x2(rangeL)) * (w3-k) * Coeff1X2;
            ans += (Int_x1(rangeR) - Int_x1(rangeL)) * (1) * Coeff1X0;
            ans += (Int_x2(rangeR) - Int_x2(rangeL)) * (1) * Coeff1X1;
            ans += (Int_x3(rangeR) - Int_x3(rangeL)) * (1) * Coeff1X2;
        }

        if (Max(0, k-w3-1-w2) < Min(k+1, w1+1, h-w2-w3+k-1)){
            Int rangeL = Max(0, k-w3-1-w2);
            Int rangeR = Min(k+1, w1+1, h-w2-w3+k-1);
            ans += (Int_x0(rangeR) - Int_x0(rangeL)) * (w2+1) * Coeff2X0;
            ans += (Int_x1(rangeR) - Int_x1(rangeL)) * (w2+1) * Coeff2X1;
            ans += (Int_x2(rangeR) - Int_x2(rangeL)) * (w2+1) * Coeff2X2;
        }
        if (Max(0, k-w3-1-w2, k-w2) < Min(k+1, w1+1, h-w2-w3+k-1)){
            Int rangeL = Max(0, k-w3-1-w2, k-w2);
            Int rangeR = Min(k+1, w1+1, h-w2-w3+k-1);
            ans += (Int_x0(rangeR) - Int_x0(rangeL)) * (k-w2) * Coeff2X0;
            ans += (Int_x1(rangeR) - Int_x1(rangeL)) * (k-w2) * Coeff2X1;
            ans += (Int_x2(rangeR) - Int_x2(rangeL)) * (k-w2) * Coeff2X2;
            ans += (Int_x1(rangeR) - Int_x1(rangeL)) * (-1) * Coeff2X0;
            ans += (Int_x2(rangeR) - Int_x2(rangeL)) * (-1) * Coeff2X1;
            ans += (Int_x3(rangeR) - Int_x3(rangeL)) * (-1) * Coeff2X2;
        }
        if (Max(0, k-w3-1-w2) < Min(k+1, w1+1, h-w2-w3+k-1, k-w3+1)){
            Int rangeL = Max(0, k-w3-1-w2);
            Int rangeR = Min(k+1, w1+1, h-w2-w3+k-1, k-w3+1);
            ans += (Int_x0(rangeR) - Int_x0(rangeL)) * (w3-k) * Coeff2X0;
            ans += (Int_x1(rangeR) - Int_x1(rangeL)) * (w3-k) * Coeff2X1;
            ans += (Int_x2(rangeR) - Int_x2(rangeL)) * (w3-k) * Coeff2X2;
            ans += (Int_x1(rangeR) - Int_x1(rangeL)) * (1) * Coeff2X0;
            ans += (Int_x2(rangeR) - Int_x2(rangeL)) * (1) * Coeff2X1;
            ans += (Int_x3(rangeR) - Int_x3(rangeL)) * (1) * Coeff2X2;
        }

        LInt tmp = w1; w1 = w2; w2 = w3; w3 = tmp;
    }

    ans /= 2;
    return ans;
}

int main(){
    long long h1, h2, h3, w1, w2, w3; cin >> h1 >> h2 >> h3 >> w1 >> w2 >> w3;
    h1 -= 3; h2 -= 3; h3 -= 3; w1 -= 3; w2 -= 3; w3 -= 3;
    Int ans = solve(h1, h2, h3, w1, w2, w3);
    cout << ans.val() << '\n';
    return 0;
}
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