2019icpc徐州站 Cat 计蒜客

VJ链接：https://vjudge.net/contest/412095#problem/A

Cat 计蒜客 - 42540

题意：

给你一个区间[L,R]，给你现在拥有的钱S。你需要从[L,R]区间中选取一些连续的数，如果i^(i+1)^(i+2)^...^(j-1)^j<=s（L<=i<=j<=R）,那么你就可以拥有[i,j]这一个子区间。问你你拥有的子区间长度最长是多少

1<=L,R<=1e18

1<=S<=2e18

题解：

你会发现4k^(4k+1)^(4k+2)^(4k+3)==0（k取正整数）

那么对于一个给定的区间[L,R]，如果R-L<=4我们暴力找i，j就可以

否则我们可以把这个区间中间的4个数为一组都变成0，那么最坏情况下数组就是

{4k+1,4k+2,4k+3,(中间都是0不用管),4L,4L+1,4L+2}

那么我们只需要暴力枚举数组{4k+1,4k+2,4k+3,4L,4L+1,4L+2}就可以

代码：

#include <bits/stdc++.h>
typedef long long ll;
ll max(ll a, ll b)
{
    if (a > b)
        return a;
    else
        return b;
}
ll que[100];
int main()
{
    ll t;
    scanf("%lld", &t);
    while (t--)
    {
        ll L, R, s;
        scanf("%lld%lld%lld", &L, &R, &s);
        if (R - L + 1 <= 4)
        {
            ll res = 0;
            for (ll i = L; i <= R; ++i)
            {
                ll now = i;
                if (s >= now)
                    res = max(res, 1);
                for (ll j = i + 1; j <= R; ++j)
                {
                    now ^= j;
                    if (s >= now)
                        res = max(res, j - i + 1);
                }
            }
            if (res == 0)
                res = -1;
            printf("%lld
", res);
        }
        else
        {
            ll len = 0, a = 0, b = 0;
            if ((L % 4) != 0)
            {
                a = (L / 4 + 1) * 4;
                for (ll i = L; i < (L / 4 + 1) * 4; ++i)
                {
                    que[++len] = i;
                }
            }
            else
                a = L;
            if ((R + 1) % 4 != 0)
            {
                b = (R / 4) * 4 - 1;
                for (ll i = (R / 4) * 4; i <= R; ++i)
                {
                    que[++len] = i;
                }
            }
            else
                b = R;
            ll res = 0;
            for (ll i = 1; i <= len; ++i)
            {
                ll now = que[i];
                if (s >= now)
                    res = max(res, 1);
                for (ll j = i + 1; j <= len; ++j)
                {
                    now ^= que[j];
                    if (s >= now)
                    {
                        // if (j - i + 1 == 4)
                        //     printf("%lld %lld %lld
", now, i, j);
                        res = max(res, j - i + 1);
                    }
                }
            }
            //printf("%lld %lld
", b - a + 1, len);
            if (res + max(0, (b - a + 1)) == 0)
                res = -1;
            printf("%lld
", res + max(0, (b - a + 1)));
        }
    }
    return 0;
}
/*
3
1283 23421 27681
11243 19862 25325
7061 4227 31283

*/

计蒜客 - 42545

题意：

给你一个x，为你可不可以把x=i*i*i+j*j*j+k*k*k

5000<=i,j,k<=5000

1<=x<=200

题解：

打表过的

代码太长，折叠了

代码：

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int maxn = 2e5 + 5;
struct node
{
    int a, b, c;
} w[205];
int vis[205];
void init()
{
    vis[1] = 1, w[1].a = -5000;
    w[1].b = 1;
    w[1].c = 5000;
    vis[2] = 1, w[2].a = -4373;
    w[2].b = -486;
    w[2].c = 4375;
    vis[3] = 1, w[3].a = -5;
    w[3].b = 4;
    w[3].c = 4;
    vis[6] = 1, w[6].a = -637;
    w[6].b = -205;
    w[6].c = 644;
    vis[7] = 1, w[7].a = -169;
    w[7].b = 44;
    w[7].c = 168;
    vis[8] = 1, w[8].a = -5000;
    w[8].b = 2;
    w[8].c = 5000;
    vis[9] = 1, w[9].a = -216;
    w[9].b = -52;
    w[9].c = 217;
    vis[10] = 1, w[10].a = -650;
    w[10].b = -353;
    w[10].c = 683;
    vis[11] = 1, w[11].a = -695;
    w[11].b = -641;
    w[11].c = 843;
    vis[12] = 1, w[12].a = -11;
    w[12].b = 7;
    w[12].c = 10;
    vis[15] = 1, w[15].a = -265;
    w[15].b = -262;
    w[15].c = 332;
    vis[16] = 1, w[16].a = -4114;
    w[16].b = -588;
    w[16].c = 4118;
    vis[17] = 1, w[17].a = -3331;
    w[17].b = 2195;
    w[17].c = 2977;
    vis[18] = 1, w[18].a = -1373;
    w[18].b = -1276;
    w[18].c = 1671;
    vis[19] = 1, w[19].a = -95;
    w[19].b = 47;
    w[19].c = 91;
    vis[20] = 1, w[20].a = -2816;
    w[20].b = -741;
    w[20].c = 2833;
    vis[21] = 1, w[21].a = -401;
    w[21].b = -287;
    w[21].c = 445;
    vis[24] = 1, w[24].a = -10;
    w[24].b = 8;
    w[24].c = 8;
    vis[25] = 1, w[25].a = -2683;
    w[25].b = 1839;
    w[25].c = 2357;
    vis[26] = 1, w[26].a = -2107;
    w[26].b = 237;
    w[26].c = 2106;
    vis[27] = 1, w[27].a = -5000;
    w[27].b = 3;
    w[27].c = 5000;
    vis[28] = 1, w[28].a = -2268;
    w[28].b = -249;
    w[28].c = 2269;
    vis[29] = 1, w[29].a = -233;
    w[29].b = -69;
    w[29].c = 235;
    vis[34] = 1, w[34].a = -1555;
    w[34].b = -244;
    w[34].c = 1557;
    vis[35] = 1, w[35].a = -1120;
    w[35].b = -509;
    w[35].c = 1154;
    vis[36] = 1, w[36].a = -3223;
    w[36].b = 2358;
    w[36].c = 2731;
    vis[37] = 1, w[37].a = -444;
    w[37].b = -84;
    w[37].c = 445;
    vis[38] = 1, w[38].a = -27;
    w[38].b = 16;
    w[38].c = 25;
    vis[43] = 1, w[43].a = -823;
    w[43].b = -307;
    w[43].c = 837;
    vis[44] = 1, w[44].a = -7;
    w[44].b = -5;
    w[44].c = 8;
    vis[45] = 1, w[45].a = -2369;
    w[45].b = 1709;
    w[45].c = 2025;
    vis[46] = 1, w[46].a = -758;
    w[46].b = -473;
    w[46].c = 815;
    vis[47] = 1, w[47].a = -141;
    w[47].b = 49;
    w[47].c = 139;
    vis[48] = 1, w[48].a = -3950;
    w[48].b = -1247;
    w[48].c = 3991;
    vis[51] = 1, w[51].a = -796;
    w[51].b = 602;
    w[51].c = 659;
    vis[53] = 1, w[53].a = -2370;
    w[53].b = 1518;
    w[53].c = 2141;
    vis[54] = 1, w[54].a = -3885;
    w[54].b = -648;
    w[54].c = 3891;
    vis[55] = 1, w[55].a = -3329;
    w[55].b = 1837;
    w[55].c = 3131;
    vis[56] = 1, w[56].a = -672;
    w[56].b = 505;
    w[56].c = 559;
    vis[57] = 1, w[57].a = -998;
    w[57].b = 361;
    w[57].c = 982;
    vis[60] = 1, w[60].a = -1201;
    w[60].b = -163;
    w[60].c = 1202;
    vis[61] = 1, w[61].a = -966;
    w[61].b = 668;
    w[61].c = 845;
    vis[62] = 1, w[62].a = -2744;
    w[62].b = -1561;
    w[62].c = 2903;
    vis[63] = 1, w[63].a = -161;
    w[63].b = 102;
    w[63].c = 146;
    vis[64] = 1, w[64].a = -5000;
    w[64].b = 4;
    w[64].c = 5000;
    vis[65] = 1, w[65].a = -929;
    w[65].b = 403;
    w[65].c = 903;
    vis[66] = 1, w[66].a = 1;
    w[66].b = 1;
    w[66].c = 4;
    vis[69] = 1, w[69].a = -403;
    w[69].b = 134;
    w[69].c = 398;
    vis[70] = 1, w[70].a = -2359;
    w[70].b = 824;
    w[70].c = 2325;
    vis[71] = 1, w[71].a = -533;
    w[71].b = 401;
    w[71].c = 443;
    vis[72] = 1, w[72].a = -432;
    w[72].b = -104;
    w[72].c = 434;
    vis[73] = 1, w[73].a = -335;
    w[73].b = -146;
    w[73].c = 344;
    vis[78] = 1, w[78].a = -2080;
    w[78].b = -829;
    w[78].c = 2123;
    vis[79] = 1, w[79].a = -706;
    w[79].b = -196;
    w[79].c = 711;
    vis[80] = 1, w[80].a = -1300;
    w[80].b = -706;
    w[80].c = 1366;
    vis[81] = 1, w[81].a = -2368;
    w[81].b = -1719;
    w[81].c = 2638;
    vis[82] = 1, w[82].a = -1317;
    w[82].b = 847;
    w[82].c = 1188;
    vis[83] = 1, w[83].a = -3707;
    w[83].b = 1315;
    w[83].c = 3651;
    vis[87] = 1, w[87].a = -4126;
    w[87].b = -1972;
    w[87].c = 4271;
    vis[88] = 1, w[88].a = -1390;
    w[88].b = -1282;
    w[88].c = 1686;
    vis[89] = 1, w[89].a = -2514;
    w[89].b = 1953;
    w[89].c = 2036;
    vis[90] = 1, w[90].a = -1803;
    w[90].b = 365;
    w[90].c = 1798;
    vis[91] = 1, w[91].a = -3389;
    w[91].b = -2912;
    w[91].c = 3992;
    vis[92] = 1, w[92].a = -4052;
    w[92].b = 861;
    w[92].c = 4039;
    vis[93] = 1, w[93].a = -248;
    w[93].b = -98;
    w[93].c = 253;
    vis[96] = 1, w[96].a = -22;
    w[96].b = 14;
    w[96].c = 20;
    vis[97] = 1, w[97].a = -3168;
    w[97].b = -991;
    w[97].c = 3200;
    vis[98] = 1, w[98].a = -2101;
    w[98].b = -1638;
    w[98].c = 2391;
    vis[99] = 1, w[99].a = -893;
    w[99].b = -622;
    w[99].c = 984;
    vis[100] = 1, w[100].a = -1797;
    w[100].b = -903;
    w[100].c = 1870;
    vis[101] = 1, w[101].a = -2327;
    w[101].b = 319;
    w[101].c = 2325;
    vis[102] = 1, w[102].a = -239;
    w[102].b = 118;
    w[102].c = 229;
    vis[105] = 1, w[105].a = -7;
    w[105].b = -4;
    w[105].c = 8;
    vis[106] = 1, w[106].a = -2689;
    w[106].b = -1165;
    w[106].c = 2760;
    vis[107] = 1, w[107].a = -1309;
    w[107].b = 947;
    w[107].c = 1117;
    vis[108] = 1, w[108].a = -1165;
    w[108].b = -948;
    w[108].c = 1345;
    vis[109] = 1, w[109].a = -2948;
    w[109].b = 853;
    w[109].c = 2924;
    vis[111] = 1, w[111].a = -4793;
    w[111].b = -2312;
    w[111].c = 4966;
    vis[115] = 1, w[115].a = -12;
    w[115].b = 8;
    w[115].c = 11;
    vis[116] = 1, w[116].a = -1906;
    w[116].b = -757;
    w[116].c = 1945;
    vis[117] = 1, w[117].a = -896;
    w[117].b = -555;
    w[117].c = 962;
    vis[118] = 1, w[118].a = -4328;
    w[118].b = 383;
    w[118].c = 4327;
    vis[119] = 1, w[119].a = -3677;
    w[119].b = -1673;
    w[119].c = 3789;
    vis[120] = 1, w[120].a = -2804;
    w[120].b = 1219;
    w[120].c = 2725;
    vis[123] = 1, w[123].a = -37;
    w[123].b = -16;
    w[123].c = 38;
    vis[124] = 1, w[124].a = -1;
    w[124].b = 0;
    w[124].c = 5;
    vis[125] = 1, w[125].a = -5000;
    w[125].b = 5;
    w[125].c = 5000;
    vis[126] = 1, w[126].a = -2212;
    w[126].b = -419;
    w[126].c = 2217;
    vis[127] = 1, w[127].a = -4034;
    w[127].b = -3881;
    w[127].c = 4988;
    vis[128] = 1, w[128].a = -3989;
    w[128].b = -726;
    w[128].c = 3997;
    vis[129] = 1, w[129].a = -1580;
    w[129].b = -1238;
    w[129].c = 1801;
    vis[132] = 1, w[132].a = -1;
    w[132].b = 2;
    w[132].c = 5;
    vis[133] = 1, w[133].a = -399;
    w[133].b = 167;
    w[133].c = 389;
    vis[134] = 1, w[134].a = -3013;
    w[134].b = -1766;
    w[134].c = 3203;
    vis[135] = 1, w[135].a = -1351;
    w[135].b = -629;
    w[135].c = 1395;
    vis[136] = 1, w[136].a = -1116;
    w[136].b = 816;
    w[136].c = 946;
    vis[137] = 1, w[137].a = -758;
    w[137].b = -428;
    w[137].c = 801;
    vis[138] = 1, w[138].a = -86;
    w[138].b = -77;
    w[138].c = 103;
    vis[141] = 1, w[141].a = -139;
    w[141].b = 104;
    w[141].c = 116;
    vis[142] = 1, w[142].a = -7;
    w[142].b = -3;
    w[142].c = 8;
    vis[144] = 1, w[144].a = -2746;
    w[144].b = -2552;
    w[144].c = 3342;
    vis[145] = 1, w[145].a = -8;
    w[145].b = -7;
    w[145].c = 10;
    vis[146] = 1, w[146].a = -327;
    w[146].b = -263;
    w[146].c = 376;
    vis[147] = 1, w[147].a = -2366;
    w[147].b = 1528;
    w[147].c = 2131;
    vis[150] = 1, w[150].a = -367;
    w[150].b = 260;
    w[150].c = 317;
    vis[151] = 1, w[151].a = -463;
    w[151].b = 215;
    w[151].c = 447;
    vis[152] = 1, w[152].a = -805;
    w[152].b = 486;
    w[152].c = 741;
    vis[153] = 1, w[153].a = -3736;
    w[153].b = -695;
    w[153].c = 3744;
    vis[154] = 1, w[154].a = -2135;
    w[154].b = -516;
    w[154].c = 2145;
    vis[155] = 1, w[155].a = -3693;
    w[155].b = -1049;
    w[155].c = 3721;
    vis[159] = 1, w[159].a = -1534;
    w[159].b = 383;
    w[159].c = 1526;
    vis[160] = 1, w[160].a = -3874;
    w[160].b = -1654;
    w[160].c = 3972;
    vis[161] = 1, w[161].a = -4767;
    w[161].b = -2476;
    w[161].c = 4980;
    vis[162] = 1, w[162].a = -4125;
    w[162].b = -1417;
    w[162].c = 4180;
    vis[163] = 1, w[163].a = -3423;
    w[163].b = -2943;
    w[163].c = 4033;
    vis[164] = 1, w[164].a = -66;
    w[164].b = -59;
    w[164].c = 79;
    vis[168] = 1, w[168].a = -802;
    w[168].b = -574;
    w[168].c = 890;
    vis[169] = 1, w[169].a = -1354;
    w[169].b = -1012;
    w[169].c = 1521;
    vis[170] = 1, w[170].a = -3834;
    w[170].b = -2149;
    w[170].c = 4047;
    vis[171] = 1, w[171].a = -1328;
    w[171].b = 891;
    w[171].c = 1178;
    vis[174] = 1, w[174].a = -335;
    w[174].b = -170;
    w[174].c = 349;
    vis[177] = 1, w[177].a = -1168;
    w[177].b = -160;
    w[177].c = 1169;
    vis[178] = 1, w[178].a = -13;
    w[178].b = -10;
    w[178].c = 15;
    vis[179] = 1, w[179].a = -2839;
    w[179].b = 1503;
    w[179].c = 2691;
    vis[181] = 1, w[181].a = -4874;
    w[181].b = 974;
    w[181].c = 4861;
    vis[182] = 1, w[182].a = -90;
    w[182].b = -29;
    w[182].c = 91;
    vis[183] = 1, w[183].a = -4889;
    w[183].b = 976;
    w[183].c = 4876;
    vis[186] = 1, w[186].a = -4;
    w[186].b = 5;
    w[186].c = 5;
    vis[187] = 1, w[187].a = -1885;
    w[187].b = -1092;
    w[187].c = 2000;
    vis[188] = 1, w[188].a = -1639;
    w[188].b = 318;
    w[188].c = 1635;
    vis[189] = 1, w[189].a = -1702;
    w[189].b = -1403;
    w[189].c = 1974;
    vis[190] = 1, w[190].a = -4812;
    w[190].b = -593;
    w[190].c = 4815;
    vis[191] = 1, w[191].a = -377;
    w[191].b = -215;
    w[191].c = 399;
    vis[192] = 1, w[192].a = -20;
    w[192].b = 16;
    w[192].c = 16;
    vis[196] = 1, w[196].a = -1057;
    w[196].b = -579;
    w[196].c = 1112;
    vis[197] = 1, w[197].a = -2867;
    w[197].b = -1606;
    w[197].c = 3026;
    vis[198] = 1, w[198].a = -3752;
    w[198].b = -1347;
    w[198].c = 3809;
    vis[199] = 1, w[199].a = -2208;
    w[199].b = 508;
    w[199].c = 2199;
    vis[200] = 1, w[200].a = -2318;
    w[200].b = -638;
    w[200].c = 2334;
}
int main()
{
    init();
    int t;
    scanf("%d", &t);
    while (t--)
    {
        int n;
        scanf("%d", &n);
        if (n == 0)
        {
            puts("0 0 0");
            continue;
        }
        if (vis[n])
        {
            printf("%d %d %d
", w[n].a, w[n].b, w[n].c);
        }
        else
        {
            puts("impossible");
        }
    }
    return 0;
}

/*
1 -5000 1 5000
8 -5000 2 5000
27 -5000 3 5000
64 -5000 4 5000
125 -5000 5 5000
183 -4889 976 4876
181 -4874 974 4861
190 -4812 -593 4815
111 -4793 -2312 4966
161 -4767 -2476 4980
2 -4373 -486 4375
118 -4328 383 4327
87 -4126 -1972 4271
162 -4125 -1417 4180
16 -4114 -588 4118
92 -4052 861 4039
127 -4034 -3881 4988
128 -3989 -726 3997
48 -3950 -1247 3991
54 -3885 -648 3891
160 -3874 -1654 3972
170 -3834 -2149 4047
198 -3752 -1347 3809
153 -3736 -695 3744
83 -3707 1315 3651
155 -3693 -1049 3721
119 -3677 -1673 3789
163 -3423 -2943 4033
91 -3389 -2912 3992
17 -3331 2195 2977
55 -3329 1837 3131
36 -3223 2358 2731
97 -3168 -991 3200
134 -3013 -1766 3203
109 -2948 853 2924
197 -2867 -1606 3026
179 -2839 1503 2691
20 -2816 -741 2833
120 -2804 1219 2725
144 -2746 -2552 3342
62 -2744 -1561 2903
106 -2689 -1165 2760
25 -2683 1839 2357
89 -2514 1953 2036
53 -2370 1518 2141
45 -2369 1709 2025
81 -2368 -1719 2638
147 -2366 1528 2131
70 -2359 824 2325
101 -2327 319 2325
200 -2318 -638 2334
28 -2268 -249 2269
126 -2212 -419 2217
199 -2208 508 2199
154 -2135 -516 2145
26 -2107 237 2106
98 -2101 -1638 2391
78 -2080 -829 2123
116 -1906 -757 1945
187 -1885 -1092 2000
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*/